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  <front>
    <journal-meta><journal-id journal-id-type="publisher">GMD</journal-id><journal-title-group>
    <journal-title>Geoscientific Model Development</journal-title>
    <abbrev-journal-title abbrev-type="publisher">GMD</abbrev-journal-title><abbrev-journal-title abbrev-type="nlm-ta">Geosci. Model Dev.</abbrev-journal-title>
  </journal-title-group><issn pub-type="epub">1991-9603</issn><publisher>
    <publisher-name>Copernicus Publications</publisher-name>
    <publisher-loc>Göttingen, Germany</publisher-loc>
  </publisher></journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.5194/gmd-16-3953-2023</article-id><title-group><article-title>The fully coupled regionally refined model of E3SM version 2: overview of the atmosphere, land, and river results</article-title><alt-title>E3SMv2 coupled RRM overview</alt-title>
      </title-group><?xmltex \runningtitle{E3SMv2 coupled RRM overview}?><?xmltex \runningauthor{Q. Tang et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Tang</surname><given-names>Qi</given-names></name>
          <email>tang30@llnl.gov</email>
        <ext-link>https://orcid.org/0000-0003-2959-0203</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Golaz</surname><given-names>Jean-Christophe</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1616-5435</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Van Roekel</surname><given-names>Luke P.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1418-5686</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Taylor</surname><given-names>Mark A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9267-2554</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff4">
          <name><surname>Lin</surname><given-names>Wuyin</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Hillman</surname><given-names>Benjamin R.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff5">
          <name><surname>Ullrich</surname><given-names>Paul A.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4118-4590</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Bradley</surname><given-names>Andrew M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-4687-198X</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Guba</surname><given-names>Oksana</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-7242-7001</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Wolfe</surname><given-names>Jonathan D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Zhou</surname><given-names>Tian</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-1582-4005</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Zhang</surname><given-names>Kai</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0457-6368</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zheng</surname><given-names>Xue</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9372-1776</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Yunyan</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Meng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Wu</surname><given-names>Mingxuan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-2970-1102</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Wang</surname><given-names>Hailong</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1994-4402</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Tao</surname><given-names>Cheng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Singh</surname><given-names>Balwinder</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Rhoades</surname><given-names>Alan M.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-3723-2422</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Qin</surname><given-names>Yi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9045-8688</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff8">
          <name><surname>Li</surname><given-names>Hong-Yi</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9807-3851</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Feng</surname><given-names>Yan</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6464-0785</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Yuying</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-9638-2282</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Zhang</surname><given-names>Chengzhu</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff10">
          <name><surname>Zender</surname><given-names>Charles S.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0129-8024</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Xie</surname><given-names>Shaocheng</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff3">
          <name><surname>Roesler</surname><given-names>Erika L.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Roberts</surname><given-names>Andrew F.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-0394-8396</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Mametjanov</surname><given-names>Azamat</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Maltrud</surname><given-names>Mathew E.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Keen</surname><given-names>Noel D.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff9">
          <name><surname>Jacob</surname><given-names>Robert L.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-9444-6593</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Jablonowski</surname><given-names>Christiane</given-names></name>
          
        <ext-link>https://orcid.org/0000-0003-0407-0092</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff11">
          <name><surname>Hughes</surname><given-names>Owen K.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Forsyth</surname><given-names>Ryan M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff7">
          <name><surname>Di Vittorio</surname><given-names>Alan V.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-8139-4640</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Caldwell</surname><given-names>Peter M.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Bisht</surname><given-names>Gautam</given-names></name>
          
        <ext-link>https://orcid.org/0000-0001-6641-7595</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>McCoy</surname><given-names>Renata B.</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff6">
          <name><surname>Leung</surname><given-names>L. Ruby</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-3221-9467</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Bader</surname><given-names>David C.</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>Lawrence Livermore National Laboratory, Livermore, CA, USA</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>Los Alamos National Laboratory, Los Alamos, NM, USA</institution>
        </aff>
        <aff id="aff3"><label>3</label><institution>Sandia National Laboratories, Albuquerque, NM, USA</institution>
        </aff>
        <aff id="aff4"><label>4</label><institution>Brookhaven National Laboratory, Upton, NY, USA</institution>
        </aff>
        <aff id="aff5"><label>5</label><institution>Department of Land, Air and Water Resources, University of California, Davis, CA, USA</institution>
        </aff>
        <aff id="aff6"><label>6</label><institution>Pacific Northwest National Laboratory, Richland, WA, USA</institution>
        </aff>
        <aff id="aff7"><label>7</label><institution>Lawrence Berkeley National Laboratory, Berkeley, CA, USA</institution>
        </aff>
        <aff id="aff8"><label>8</label><institution>Department of Civil and Environmental Engineering, University of Houston, TX, USA</institution>
        </aff>
        <aff id="aff9"><label>9</label><institution>Argonne National Laboratory, Lemont, IL, USA</institution>
        </aff>
        <aff id="aff10"><label>10</label><institution>Departments of Earth System Science and Computer Science, University of California, Irvine, CA, USA</institution>
        </aff>
        <aff id="aff11"><label>11</label><institution>Department of Climate and Space Sciences and Engineering, University of Michigan, Ann Arbor, MI, USA</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Qi Tang (tang30@llnl.gov)</corresp></author-notes><pub-date><day>13</day><month>July</month><year>2023</year></pub-date>
      
      <volume>16</volume>
      <issue>13</issue>
      <fpage>3953</fpage><lpage>3995</lpage>
      <history>
        <date date-type="received"><day>28</day><month>October</month><year>2022</year></date>
           <date date-type="rev-request"><day>11</day><month>November</month><year>2022</year></date>
           <date date-type="rev-recd"><day>28</day><month>May</month><year>2023</year></date>
           <date date-type="accepted"><day>31</day><month>May</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Qi Tang et al.</copyright-statement>
        <copyright-year>2023</copyright-year>
      <license license-type="open-access"><license-p>This work is licensed under the Creative Commons Attribution 4.0 International License. To view a copy of this licence, visit <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">https://creativecommons.org/licenses/by/4.0/</ext-link></license-p></license></permissions><self-uri xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023.html">This article is available from https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e528">This paper provides an overview of the United States (US) Department of Energy's (DOE's) Energy Exascale Earth System Model version 2 (E3SMv2) fully coupled regionally refined model (RRM) and documents the overall atmosphere, land, and river results from the Coupled Model Intercomparison Project 6 (CMIP6) DECK (Diagnosis, Evaluation, and Characterization of Klima) and historical simulations – a first-of-its-kind set of climate production simulations using RRM.  The North American (NA) RRM (NARRM) is developed as the high-resolution configuration of E3SMv2 with the primary goal of more explicitly addressing DOE's mission needs regarding impacts to the US energy sector facing Earth system changes.  The NARRM features finer horizontal resolution grids centered over NA, consisting of 25<inline-formula><mml:math id="M1" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula>100 km atmosphere and land, a 0.125<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> river-routing model, and 14<inline-formula><mml:math id="M3" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula>60 km ocean and sea ice.  By design, the computational cost of NARRM is <inline-formula><mml:math id="M4" display="inline"><mml:mrow><mml:mo>∼</mml:mo><mml:mn mathvariant="normal">3</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> of the uniform low-resolution (LR) model at 100 km but only <inline-formula><mml:math id="M5" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %–20 % of a globally uniform high-resolution model at 25 km.</p>

      <p id="d1e573">A novel hybrid time step strategy for the atmosphere is key for NARRM to achieve improved climate simulation fidelity within the high-resolution patch without sacrificing the overall global performance.  The global climate, including climatology, time series, sensitivity, and feedback, is confirmed to be largely identical between NARRM and LR as quantified with typical climate metrics.  Over the refined NA area, NARRM is generally superior to LR, including for precipitation and clouds over the contiguous US (CONUS), summertime marine stratocumulus clouds off the coast of California, liquid and ice phase clouds near the North Pole region, extratropical cyclones, and spatial variability in land hydrological processes.  The improvements over land are related to the better-resolved topography in NARRM, whereas those over ocean are attributable to the improved air–sea<?pagebreak page3954?> interactions with finer grids for both atmosphere and ocean and sea ice.  Some features appear insensitive to the resolution change analyzed here, for instance the diurnal propagation of organized mesoscale convective systems over CONUS and the warm-season land–atmosphere coupling at the southern Great Plains.  In summary, our study presents a realistically efficient approach to leverage the fully coupled RRM framework for a standard Earth system model release and high-resolution climate production simulations.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>U.S. Department of Energy</funding-source>
<award-id>DE-AC02-05CH11231</award-id>
<award-id>DE-AC52-07NA27344</award-id>
<award-id>DE-AC05-76RL01830</award-id>
<award-id>DE-NA0003525</award-id>
<award-id>DE-SC0023220</award-id>
<award-id>DE-AC02-05CH11231</award-id>
<award-id>DE-SC0016605</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Los Alamos National Laboratory</funding-source>
<award-id>89233218CNA000001</award-id>
</award-group>
</funding-group>
</article-meta>
  </front>
<body>
      

<sec id="Ch1.S1" sec-type="intro">
  <label>1</label><title>Introduction</title>
      <p id="d1e585">Global Earth system models (ESMs) are fundamental tools for understanding the past evolution of the climate system and projecting future climate changes under various anthropogenic scenarios.  High horizontal resolution simulations on climate scales have been recognized as one of the increasingly important directions of ESM development in recent years <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx42" id="paren.1"/>.  Compared to low-resolution models, high-resolution models show superior fidelity in representing both the large-scale circulation (e.g., meridional ocean heat transport) <xref ref-type="bibr" rid="bib1.bibx40" id="paren.2"/> and small-scale processes (e.g., clouds and streamflow) (<xref ref-type="bibr" rid="bib1.bibx42" id="altparen.3"/>, and references therein).  More importantly, simulations with enhanced horizontal resolution exhibit improved skills in capturing regional climate change signals and facilitating process-level studies, which provide a crucial basis for assessing the impacts of climate extremes with augmented societal implications.  However, fine-resolution and multi-century simulations (with ensembles) are competing requirements for climate experiments due to limited computational and human resources.  This conflict will likely continue to challenge the climate modeling community, as evidenced by the fact that more than 3 times (72 vs. 23) as many model sources (including different versions of the same model) have published simulations at 100 km than at 25 km nominal resolutions in the current Coupled Model Intercomparison Project 6 (CMIP6) archive (<uri>https://esgf-node.llnl.gov/search/cmip6/</uri>, last access: 18 August 2022).  This suggests that despite the commonly recognized benefits, not many modeling centers can afford to pursue routine high-resolution climate simulations.</p>
      <p id="d1e600">The Energy Exascale Earth System Model (E3SM) project <xref ref-type="bibr" rid="bib1.bibx68" id="paren.4"/> is supported by the US Department of Energy (DOE) with a primary goal of improving actionable predictions of Earth system variability and change by leveraging advanced DOE computational resources.  Scientifically, E3SM development is motivated by modeling requirements in three overarching fields (i.e., water cycle, biogeochemistry, and cryosphere) to address the most critical DOE mission-related questions, such as water availability, wildfires, heat waves, and sea level rise, which all pose challenges to the energy sector with climate change.  High-resolution simulations are clearly more desirable to achieve these E3SM objectives since these processes have high spatiotemporal variability.  However, uniformly increasing the grid size for climate production simulations is not an easy task even with DOE's world class high-performance computing power.  For example, the 25 km simulation is at least 32 times (<inline-formula><mml:math id="M6" display="inline"><mml:mrow><mml:mn mathvariant="normal">16</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> more grid cells, <inline-formula><mml:math id="M7" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> smaller physics time step, and <inline-formula><mml:math id="M8" display="inline"><mml:mrow><mml:mn mathvariant="normal">4</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> smaller dynamical core time step) more expensive than the 100 km version with the E3SM version 1 (E3SMv1) model <xref ref-type="bibr" rid="bib1.bibx10" id="paren.5"/>, making high-resolution models much more computationally expensive not only to run but also to tune for skillful simulations.  With these demands and limitations, a multiscale approach is an attractive avenue for global ESMs to deliver high-resolution production simulations over target areas at a more economical cost.</p>
      <p id="d1e639">The multiresolution method <xref ref-type="bibr" rid="bib1.bibx94 bib1.bibx67" id="paren.6"/>, also known as regionally refined model (RRM) or variable-resolution (VR) model, was proposed to alleviate the computational burden of global ESMs by refining a fraction of the globe with higher resolution while keeping (without coarsening) the remaining area at lower resolution.  The RRM method is a general tool for all major ESM components, such as atmosphere, land, ocean, and sea ice.  With a careful design of the RRM mesh, the high-resolution grids can better represent fine-scale processes over an area of interest at a typical cost of only <inline-formula><mml:math id="M9" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %–20 % of a comparable globally uniform high-resolution configuration.  Compared to regional or nested climate models, global RRMs by design minimize the impacts from the lack of a two-way dynamical feedback between the refined area and the outside domain.</p>
      <p id="d1e652">Recently, an increasing number of studies have successfully applied the RRM technique in global ESMs to tackle a wide range of climate research themes from climatological statistics of idealized aquaplanet <xref ref-type="bibr" rid="bib1.bibx128" id="paren.7"/> and mean climate state of more realistic simulations <xref ref-type="bibr" rid="bib1.bibx96 bib1.bibx97 bib1.bibx34 bib1.bibx104" id="paren.8"/> to complex terrain climate <xref ref-type="bibr" rid="bib1.bibx120 bib1.bibx87 bib1.bibx79 bib1.bibx2" id="paren.9"/> and climate extremes <xref ref-type="bibr" rid="bib1.bibx55 bib1.bibx88 bib1.bibx89 bib1.bibx130 bib1.bibx82 bib1.bibx125" id="paren.10"/>.  Others leveraged RRM to study specific aspects of climate, such as tropical cyclones <xref ref-type="bibr" rid="bib1.bibx126 bib1.bibx127 bib1.bibx48" id="paren.11"/>, marine stratocumulus <xref ref-type="bibr" rid="bib1.bibx6" id="paren.12"/>, snowpack <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx84" id="paren.13"/>, surface energy flux <xref ref-type="bibr" rid="bib1.bibx9" id="paren.14"/>, Greenland surface mass balance <xref ref-type="bibr" rid="bib1.bibx117" id="paren.15"/>, irrigation impacts on regional climate <xref ref-type="bibr" rid="bib1.bibx54" id="paren.16"/>, and land use and land cover change influence on land–atmosphere coupling and precipitation <xref ref-type="bibr" rid="bib1.bibx20" id="paren.17"/>.  Lately, the RRM resolution has been pushed to a new limit for watershed-scale hydrology analysis <xref ref-type="bibr" rid="bib1.bibx123" id="paren.18"/> and cloud-resolving scale climate simulation <xref ref-type="bibr" rid="bib1.bibx73" id="paren.19"/>.</p>
      <?pagebreak page3955?><p id="d1e697">The RRM high-resolution results are robust for most places except the Intertropical Convergence Zone <xref ref-type="bibr" rid="bib1.bibx80 bib1.bibx128" id="paren.20"/>, covering almost all typical climate regimes such as the contiguous US (CONUS) <xref ref-type="bibr" rid="bib1.bibx34 bib1.bibx104" id="paren.21"/>, the western <xref ref-type="bibr" rid="bib1.bibx83 bib1.bibx56 bib1.bibx55 bib1.bibx87" id="paren.22"/> and eastern US <xref ref-type="bibr" rid="bib1.bibx73" id="paren.23"/>, South America <xref ref-type="bibr" rid="bib1.bibx96 bib1.bibx97 bib1.bibx2" id="paren.24"/>, Asia <xref ref-type="bibr" rid="bib1.bibx97" id="paren.25"/>, East Asia <xref ref-type="bibr" rid="bib1.bibx72" id="paren.26"/>, eastern China <xref ref-type="bibr" rid="bib1.bibx124" id="paren.27"/>, the Tibetan Plateau <xref ref-type="bibr" rid="bib1.bibx79" id="paren.28"/>, the Maritime Continent <xref ref-type="bibr" rid="bib1.bibx47" id="paren.29"/>, Atlantic basin <xref ref-type="bibr" rid="bib1.bibx129" id="paren.30"/>, the southeastern Pacific <xref ref-type="bibr" rid="bib1.bibx6" id="paren.31"/>, Greenland <xref ref-type="bibr" rid="bib1.bibx117" id="paren.32"/>, and the Arctic <xref ref-type="bibr" rid="bib1.bibx118" id="paren.33"/>.  Furthermore, the RRM capability in representing the general high-resolution climate seems generally acceptable for different models, including the Variable-Resolution Community Earth System Model (VR-CESM) <xref ref-type="bibr" rid="bib1.bibx34" id="paren.34"><named-content content-type="pre">e.g.,</named-content></xref>, the E3SMv1 atmospheric model (EAMv1) <xref ref-type="bibr" rid="bib1.bibx104" id="paren.35"/>, the Model for Prediction Across Scales-Atmosphere (MPAS-A) <xref ref-type="bibr" rid="bib1.bibx43 bib1.bibx96 bib1.bibx97 bib1.bibx72" id="paren.36"/>, the Geophysical Fluid Dynamics Laboratory finite-volume dynamical core on the cubed-sphere grid <xref ref-type="bibr" rid="bib1.bibx46 bib1.bibx47" id="paren.37"/>, and the ICOsahedral Non-hydrostatic Earth System Model (ICON-ESM) <xref ref-type="bibr" rid="bib1.bibx62" id="paren.38"/>.</p>
      <p id="d1e762">All of the aforementioned studies utilize RRMs for Atmospheric Model Intercomparison Project (AMIP-type) <xref ref-type="bibr" rid="bib1.bibx32" id="paren.39"/> simulations.  Although these studies provide valuable experience and important knowledge about RRMs, modeling centers still face the question of how to transform such AMIP-type RRM achievements from individual scientific studies emphasizing specific climate aspects to a standard global ESM release version aiming at a much broader and general scope.  At a minimum, the criteria of reasonable global climate should be satisfied for the RRM to be widely adopted for global ESM releases. Most previous AMIP-type RRM studies focus on the regional results within the refined grids without paying much attention to the outside domain.  While this might be acceptable for targeted studies, one cannot release a global model without reasonable global results since such a model is expected to address the challenge of a long (multi-century) spinup and demonstrate top-of-atmosphere (TOA) radiative balance in pre-industrial fully coupled simulations.  In addition, some physics parameterizations (e.g., deep convection) suffer from poor scale awareness and hence require retuning as the model resolution increases <xref ref-type="bibr" rid="bib1.bibx121" id="paren.40"><named-content content-type="pre">e.g.,</named-content></xref>.  This implies significant model calibration efforts that modeling centers have to seriously consider when planning on releasing the RRM besides the low-resolution model.  Furthermore, based on our EAMv1 RRM experience, retuning does not guarantee improved global climate performance.
In the present study, building upon the EAMv1 RRM (atmosphere and land area of 25<inline-formula><mml:math id="M10" display="inline"><mml:mo>→</mml:mo></mml:math></inline-formula>100 km horizontal resolution with the 25 km mesh over the CONUS) <xref ref-type="bibr" rid="bib1.bibx104" id="paren.41"/> plus the E3SMv2 lower resolution configuration <xref ref-type="bibr" rid="bib1.bibx37" id="paren.42"/>, we extend the RRM configuration to ocean and sea ice (see grids in Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F34"/>) as a fully coupled RRM with fine meshes centered over North America (NA).  We propose an innovative RRM strategy (see details in Sect. <xref ref-type="sec" rid="Ch1.S2.SS1"/>) to meet the criteria above with a minimal retuning effort and for the first time to deliver production climate simulations using a fully coupled RRM.</p>
      <p id="d1e791">This paper focuses on the atmosphere, land, and river components of the E3SMv2 North American RRM (NARRM), while a companion paper (Luke P. Van Roekel, personal communication, 2023) overviews the NARRM ocean and sea ice.  This paper is organized as follows.  Section <xref ref-type="sec" rid="Ch1.S2"/> describes the NARRM model, our hybrid time step strategy for the atmospheric component, and key tools and tests used to create its atmospheric configuration.  Section <xref ref-type="sec" rid="Ch1.S3"/> summarizes the simulations performed in the present study and reports on the computational cost of the NARRM historical simulation relative to its lower-resolution (LR) counterpart.  Analyses of model results start at the global scale in Sect. <xref ref-type="sec" rid="Ch1.S4"/> and then shift to the high-resolution NA region in Sect. <xref ref-type="sec" rid="Ch1.S5"/> for atmosphere, land and river, and land–atmosphere interactions.  Conclusions and discussions are presented in Sect. <xref ref-type="sec" rid="Ch1.S6"/>.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Model description</title>
      <p id="d1e812">Except for the mesh and mesh-related settings, E3SMv2 LR and NARRM essentially have the same atmosphere, land, and river components.  They are upgraded from E3SMv1 and briefly described here.  In the E3SMv2 atmosphere model (EAMv2), the dynamical core uses the High-Order Method Modeling Environment (HOMME) package <xref ref-type="bibr" rid="bib1.bibx18 bib1.bibx19 bib1.bibx28" id="paren.43"/> on the spectral element grid <xref ref-type="bibr" rid="bib1.bibx107" id="paren.44"/>. HOMME has been updated to use a potential temperature formulation of the equations with a more accurate pressure gradient <xref ref-type="bibr" rid="bib1.bibx108 bib1.bibx51" id="paren.45"/> and a new interpolation semi-Lagrangian scheme (Islet) for passive tracer transport <xref ref-type="bibr" rid="bib1.bibx8" id="paren.46"/>.  The physics operates on a separate finite-volume grid <xref ref-type="bibr" rid="bib1.bibx44" id="paren.47"/>, which has four-ninths as many columns as the corresponding spectral element grid (see Table <xref ref-type="table" rid="Ch1.T1"/>) and hence runs about <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> faster than it would on the spectral element grid.  The physics parameterization updates include the Cloud Layers Unified By Binormals scheme <xref ref-type="bibr" rid="bib1.bibx36 bib1.bibx64" id="paren.48"/> for subgrid turbulent transport and cloud macrophysics, the Zhang–McFarlane (ZM) deep convection scheme <xref ref-type="bibr" rid="bib1.bibx133" id="paren.49"/> with a new trigger method <xref ref-type="bibr" rid="bib1.bibx122" id="paren.50"/>, gravity wave parameterizations following <xref ref-type="bibr" rid="bib1.bibx91" id="text.51"/> with additional modifications <xref ref-type="bibr" rid="bib1.bibx4 bib1.bibx92" id="paren.52"/>, the O3v2 package <xref ref-type="bibr" rid="bib1.bibx105" id="paren.53"/> for the prognostic stratospheric ozone, and the four-mode version of Modal Aerosol Module (MAM4) <xref ref-type="bibr" rid="bib1.bibx74 bib1.bibx119" id="paren.54"/> with an updated treatment of dust aerosol <xref ref-type="bibr" rid="bib1.bibx31" id="paren.55"/>.  The same set of EAM physics parameters is used in the LR and NARRM simulations analyzed here.  The LR grid is a quasi-uniform <inline-formula><mml:math id="M12" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> cubed sphere grid with an average grid spacing of <inline-formula><mml:math id="M13" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula>100 km.  The NARRM grid has an average grid spacing of <inline-formula><mml:math id="M14" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 km over North America, transitioning to match the <inline-formula><mml:math id="M15" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km cubed-sphere grid over the rest of the globe.<?pagebreak page3956?> All simulations, except the idealized baroclinic wave simulations described later, utilize E3SM's standard 72 vertical levels (L72).</p>
      <p id="d1e902">The E3SMv2 land model (ELMv2) runs on the same grid as the atmospheric physics.  ELMv2 upgrades the prescribed vegetation distribution for better consistency between land use and changes in plant functional types across platforms and adopts the new shortwave radiation model SNICAR-AD <xref ref-type="bibr" rid="bib1.bibx16" id="paren.56"/> for snow and ice.  The land use harmonization version 2f data (LUH2; <uri>https://luh.umd.edu/data.shtml</uri>, last access: 3 July 2023) <xref ref-type="bibr" rid="bib1.bibx59" id="paren.57"/> are converted into E3SMv2 plant functional types with an updated version of the land use translator <xref ref-type="bibr" rid="bib1.bibx21" id="paren.58"/>. The trajectory of land cover change has also been improved through better tracking of previous land use change. The E3SMv2 river-routing model (Model for Scale Adaptive River Transport, MOSARTv2) utilizes the regular lat–long grid (0.5<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for LR and 0.125<inline-formula><mml:math id="M17" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> for NARRM).  MOSARTv2 uses the kinematic wave method to route the runoff from ELM into the ocean model via an eight-direction-based river network <xref ref-type="bibr" rid="bib1.bibx69" id="paren.59"/>.  More details about the E3SMv2 model are documented by <xref ref-type="bibr" rid="bib1.bibx37" id="text.60"/>.</p>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>EAM hybrid time step strategy for RRM production simulations</title>
      <p id="d1e949">In previous RRM studies, including the EAMv1 CONUS RRM <xref ref-type="bibr" rid="bib1.bibx104" id="paren.61"/>, the atmospheric physics time step is often chosen to be shorter than that of the globally uniform low-resolution model to match the highest-resolution grids in the RRM.  However, such treatment faces the challenge of satisfying the criteria above for the purpose of global climate production simulations.  Mainly because the ZM deep convection scheme and other cloud parameterizations used by EAM are by design not scale-aware <xref ref-type="bibr" rid="bib1.bibx121" id="paren.62"/>, if the EAM in NARRM used a shorter physics time step than LR while keeping other physics parameters unchanged, the NARRM results on the unrefined portion of the mesh (covering a larger area than the refined portion) would not match the quality of the LR results and thus undermine the NARRM global performance.  Furthermore, even if NARRM used the retuned high-resolution physics parameters along with the shorter physics time step, we would still have degraded global simulation quality over the LR model (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F35"/> for the EAMv1 results).  With all these considerations, in the present study when employing RRM for climate production campaigns, we opt for a hybrid time step strategy in EAM, which is a combination of an LR physics time step and the high-resolution dynamics time steps (see Table <xref ref-type="table" rid="Ch1.T1"/>).  In this way, NARRM retains much of the LR global climate characteristics with possible improvements at the refined area benefiting from the high-resolution dynamics.  Moreover, this approach simplifies the RRM development as it naturally avoids further tuning the RRM beyond what was done for LR.  This choice also ensures that the physics behaves as similarly as possible between the LR and RRM simulations to facilitate direct comparisons of their climates.</p>
      <p id="d1e962">It is worthwhile noting that the hybrid time step strategy is a practical choice before the scale-aware cloud parameterization becomes available.  With the coarsened physics time step, NARRM cannot take full advantage of resolved processes (e.g., updrafts) at 25 km because the dynamics at 25 km explicitly resolve greater vertical velocities relative to those at 100 km and hence have faster dynamical timescales, which require the correspondingly shortened physics time step to match the faster-evolving instability.  The time-truncation errors of the hybrid time step method are large at 25 km as quantified by a moist bubble test <xref ref-type="bibr" rid="bib1.bibx50" id="paren.63"/>.</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>EAM running on unstructured meshes</title>
      <p id="d1e976">In EAM, the underlying grid is always treated as fully unstructured.  EAM can run on any grid that represents a tiling of the sphere
with quadrilateral elements.  For quasi-uniform grids, EAM relies on cubed-sphere grids since these grids are simple to construct.  RRM grids are constructed by external tools as described below.
Internally, the code treats all these grids
identically, the only difference being the various
resolution-dependent parameters.  For the dynamical core, these
parameters consist of the many time steps in the model
(given in Table <xref ref-type="table" rid="Ch1.T1"/>) and the hyperviscosity coefficient.   The dynamical core time steps are chosen to ensure stability of the model. For RRM grids, these time steps are chosen to match those that would be used in a global model with the same resolution as the highest resolution contained within the RRM.  For the NARRM grid used here, which includes refinement down to 25 km, we use the same time steps as would be used by a global 25 km configuration of EAM.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e984">Column numbers and time steps of the atmosphere component used in LR and NARRM simulations.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Model</oasis:entry>
         <oasis:entry namest="col2" nameend="col3" align="center">Column no. </oasis:entry>
         <oasis:entry namest="col4" nameend="col8" align="center">Time steps (s) </oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Dynamics</oasis:entry>
         <oasis:entry colname="col3">Physics</oasis:entry>
         <oasis:entry rowsep="1" namest="col4" nameend="col7" align="center">Dynamics </oasis:entry>
         <oasis:entry colname="col8">Physics</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2"/>
         <oasis:entry colname="col3"/>
         <oasis:entry colname="col4">Hyperviscosity</oasis:entry>
         <oasis:entry colname="col5">Dycore</oasis:entry>
         <oasis:entry colname="col6">Dycore remap</oasis:entry>
         <oasis:entry colname="col7">Tracer</oasis:entry>
         <oasis:entry colname="col8"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LR</oasis:entry>
         <oasis:entry colname="col2">48 602</oasis:entry>
         <oasis:entry colname="col3">21 600</oasis:entry>
         <oasis:entry colname="col4">300</oasis:entry>
         <oasis:entry colname="col5">300</oasis:entry>
         <oasis:entry colname="col6">600</oasis:entry>
         <oasis:entry colname="col7">1800</oasis:entry>
         <oasis:entry colname="col8">1800</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NARRM</oasis:entry>
         <oasis:entry colname="col2">130 088</oasis:entry>
         <oasis:entry colname="col3">57 816</oasis:entry>
         <oasis:entry colname="col4">75</oasis:entry>
         <oasis:entry colname="col5">75</oasis:entry>
         <oasis:entry colname="col6">150</oasis:entry>
         <oasis:entry colname="col7">450</oasis:entry>
         <oasis:entry colname="col8">1800</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <?pagebreak page3957?><p id="d1e1124">For hyperviscosity, EAM relies on a resolution-aware tensor
hyperviscosity formulation <xref ref-type="bibr" rid="bib1.bibx41" id="paren.64"/> applied on each model
surface.  The tensor coefficients vary spatially based on the two
length scales of each spectral element (derived from the eigenvalues of the
reference element map). This operator has a built in scaling of
<inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> with strength controlled by a coefficient <inline-formula><mml:math id="M19" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> with
units of per second.  The tensor is designed to have the proper directional resolution
dependence for highly distorted elements, while matching the
traditional constant-coefficient hyperviscosity on square elements. In
EAMv2, we use the tensor hyperviscosity operator with
<inline-formula><mml:math id="M20" display="inline"><mml:mrow><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> s<inline-formula><mml:math id="M21" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>
for all grids (cubed-sphere and RRM) and at all resolutions. The only
exception is the LR <inline-formula><mml:math id="M22" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> cubed-sphere grid, where for
continuity with older simulations we continue to use the
constant-coefficient hyperviscosity operator with <inline-formula><mml:math id="M23" display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mn mathvariant="normal">15</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">4</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>.   For a uniform degree <inline-formula><mml:math id="M26" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> spectral element
grid with square elements, the tensor operator with coefficient <inline-formula><mml:math id="M27" display="inline"><mml:mi mathvariant="italic">ν</mml:mi></mml:math></inline-formula> is identical to
a constant coefficient hyperviscosity operator with coefficient
<inline-formula><mml:math id="M28" display="inline"><mml:mrow><mml:mi mathvariant="italic">μ</mml:mi><mml:mo>=</mml:mo><mml:msup><mml:mfenced open="(" close=")"><mml:mstyle displaystyle="false"><mml:mfrac style="text"><mml:mi>p</mml:mi><mml:mn mathvariant="normal">2</mml:mn></mml:mfrac></mml:mstyle></mml:mfenced><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi>R</mml:mi><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup><mml:mi mathvariant="italic">ν</mml:mi></mml:mrow></mml:math></inline-formula>, where <inline-formula><mml:math id="M29" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>x</mml:mi></mml:mrow></mml:math></inline-formula> is the
element edge length divided by <inline-formula><mml:math id="M30" display="inline"><mml:mi>p</mml:mi></mml:math></inline-formula> and <inline-formula><mml:math id="M31" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula> is the radius of the sphere.  In EAM, we always use <inline-formula><mml:math id="M32" display="inline"><mml:mrow><mml:mi>p</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:math></inline-formula>.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Key tools for the RRM configuration</title>
      <p id="d1e1328">A number of tools have been developed to streamline the workflow for EAM and ELM simulations on RRM grids.  These are described as follows, in the approximate order they are employed.</p>
      <p id="d1e1331"><list list-type="bullet">
            <list-item>

      <p id="d1e1336"><italic>The Spherical Quadrilateral Grid Generator (SQuadGen).</italic> Generation of the atmosphere–land mesh is performed using SQuadGen <xref ref-type="bibr" rid="bib1.bibx111 bib1.bibx41" id="paren.65"/>. This tool translates a monochrome PNG image, which denotes the desired level of grid refinement on an equirectangular projection, to a mesh of refined quadrilaterals based on a cubed sphere. The use of quadrilaterals is by necessity for compatibility with the spectral element dynamical core.  Transition regions are managed using “paving”, that is, using predefined patterns of quadrilaterals which enable transition between coarse-resolution and fine-resolution regions. Smoothing of the grid is performed via spring dynamics.   The spectral elements of the NARRM grid produced with this procedure are shown in Fig. <xref ref-type="fig" rid="Ch1.F1"/>.  In the spectral element method, each field is represented by polynomials up to degree 3 within each element.  The resolution represented by each element (its average length divided by 3) is shown in Fig. <xref ref-type="fig" rid="Ch1.F2"/>.</p>
            </list-item>
            <list-item>

      <p id="d1e1351"><italic>TempestRemap.</italic> The TempestRemap package <xref ref-type="bibr" rid="bib1.bibx112 bib1.bibx115" id="paren.66"/> is used to generate conservative, consistent, and monotone linear maps between fields stored as volume averages (i.e., updated using the finite-volume methods) and fields stored as spectral elements (i.e., as coefficients of a set of basis functions).  The generated maps require the construction of an “overlap mesh”, which is the union of the source and target face; the generation of an approximate map; and subsequent projection of the approximate map onto the linear space of conservative, consistent, and (optionally) monotone maps.</p>
            </list-item>
            <list-item>

      <p id="d1e1362"><italic>Topography generation.</italic>  To generate topography and associated surface roughness fields on the NARRM grid, we rely on the tool chain
described in <xref ref-type="bibr" rid="bib1.bibx65" id="text.67"/> combined with a topography smoothing tool included with HOMME. The use of HOMME's topography smoothing tool ensures that the smoothing is done with the same discrete Laplace operator used internally in the dynamical core.</p>
            </list-item>
            <list-item>

      <p id="d1e1373"><italic>NetCDF Operators (NCOs).</italic> NCOs consist of a number of command-line tools that enable manipulation of netCDF files <xref ref-type="bibr" rid="bib1.bibx131" id="paren.68"/>. The tools include variable extraction, remapping, and spatial and temporal averaging. Provenance information is preserved within the netCDF files to enable scientific reproducibility.</p>
            </list-item>
          </list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F1" specific-use="star"><?xmltex \currentcnt{1}?><?xmltex \def\figurename{Figure}?><label>Figure 1</label><caption><p id="d1e1385">North American RRM (NARRM) grids for the atmosphere dynamical core shown in <bold>(a)</bold> a cylindrical equidistant projection and <bold>(b)</bold> an orthographic projection.</p></caption>
          <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f01.jpg"/>

        </fig>

</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Idealized test</title>
      <p id="d1e1408">Before running long coupled NARRM simulations, we first evaluate the dynamical
core settings for the NARRM grid using a baroclinic instability test case.
This test case establishes that
the dynamical core behaves as expected in an idealized setting:  the time steps are stable,
the model can capture high-resolution features in the high-resolution
region, and the presence of the high-resolution and mesh transition
regions does not negatively impact the large-scale behavior.  For this evaluation, we
use an extension of the dry baroclinic wave test case by <xref ref-type="bibr" rid="bib1.bibx114" id="text.69"/> with two idealized, analytically prescribed mountains <xref ref-type="bibr" rid="bib1.bibx58" id="paren.70"/>. The latter now serve as the trigger for baroclinic instability.
The addition of the two mountains generates a flow with more energy
at smaller scales as compared to the original test case, especially downstream of
the mountains, making this an attractive test case for studying the
impacts of resolution.</p>
      <?pagebreak page3958?><p id="d1e1417">For this test case, we run simulations with three different horizontal grids, LR, NARRM, and high-resolution (HR), and 30 hybrid vertical levels (L30), which are specified in Appendix B of <xref ref-type="bibr" rid="bib1.bibx81" id="text.71"/>.  The LR and NARRM grids are as described above, and we
add an HR grid.  The HR grid is a global <inline-formula><mml:math id="M33" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grid which
matches the high-resolution region of the NARRM grid. All idealized
runs use the same settings as in the full model (except L30 instead of L72), with HR and NARRM using
identical time steps since they both contain regions of <inline-formula><mml:math id="M34" display="inline"><mml:mrow><mml:mn mathvariant="normal">0.25</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula>
resolution.  All simulations utilize the EAMv2 tensor hyperviscosity tuning
with <inline-formula><mml:math id="M35" display="inline"><mml:mrow><mml:mi mathvariant="italic">ν</mml:mi><mml:mo>=</mml:mo><mml:mn mathvariant="normal">3.4</mml:mn><mml:mo>×</mml:mo><mml:msup><mml:mn mathvariant="normal">10</mml:mn><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">8</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M36" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msup><mml:mi>x</mml:mi><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> resolution scaling.</p>
      <p id="d1e1482">The test case is fully described in <xref ref-type="bibr" rid="bib1.bibx58" id="text.72"/>.  We use the dry configuration and make one modification to the locations of the mountains. In particular, the center locations of the mountains are shifted longitudinally by <inline-formula><mml:math id="M37" display="inline"><mml:mrow><mml:mn mathvariant="normal">144</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> to the east in order to place the two mountains within the NARRM's high-resolution region. The new center locations are therefore 144 and <inline-formula><mml:math id="M38" display="inline"><mml:mrow><mml:mn mathvariant="normal">76</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> W. The peak height of the mountain ranges is 2000 m.
Figure <xref ref-type="fig" rid="Ch1.F2"/> illustrates the size and location of the mountains and the NARRM mesh resolution, while Fig. <xref ref-type="fig" rid="Ch1.F3"/> shows the surface pressure at day 6 computed on the same mesh. The latter highlights the topographically generated baroclinic instability in the Northern Hemisphere.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e1519">Contour lines of the topographic height with a peak amplitude of 2000 m overlaid
on a map of the NARRM grid resolution (square root of element area).
The resolution is <inline-formula><mml:math id="M39" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 km
over North America (shown in yellow), transitioning to <inline-formula><mml:math id="M40" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km over the rest of
the globe (dark blue).
The two mountains are mostly contained within the high-resolution
region.
In the low-resolution region, the faint outline of an inscribed cube shows the
slight non-uniformness of the <inline-formula><mml:math id="M41" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> cubed-sphere grid used in that region.
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f02.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e1556">Contours of the surface pressure at day 6 showing the topographically triggered
baroclinic instability in the Northern Hemisphere as computed on the NARRM grid. The instability has yet to be triggered in the Southern Hemisphere. The mountain height contours are overlaid. The colors saturate over the mountain ranges with minimum surface pressure values around 750–780 hPa (not shown).</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f03.png"/>

        </fig>

      <p id="d1e1565">Figure <xref ref-type="fig" rid="Ch1.F4"/> shows contour lines of the 750 hPa temperature field after 6 d on all three grids. The plots are zoomed in over the region with the most activity shown in Fig. <xref ref-type="fig" rid="Ch1.F3"/>.
We first compare the field in the NARRM's high-resolution region with the HR result and note the remarkable agreement between the two solutions (black contour lines) in the high-resolution region (yellow color).  The presence of high resolution in the NARRM simulation allows the model to capture
features in that region with finer scales than can be captured by the LR simulation (as expected).
Further downstream from the mountains at the right edge of the Fig. 4b, the NARRM resolution has transitioned to match the LR resolution (blue color),
and the scales captured by the NARRM solution are no longer as fine as they are in the HR solution.  They are somewhat dissipated and fall between the LR and HR results. Thus, the presence of the high-resolution region in the NARRM grid improves some aspects of the solution in the low-resolution region.  Finally, we note that there are no visible artifacts from the distorted elements in the mesh transition region.  Examination of other fields, such as vorticity (not shown), demonstrate similar results.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e1574">Contour lines of the 750 hPa temperature field on day 6 with contour intervals of 5 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C.  The temperature contours are overlaid on a map colorized by grid resolution. The data is plotted over a subset of the globe containing the mountains
and most of the downstream region affected by the
baroclinic instability.  Results are shown from the LR grid <bold>(a)</bold>, NARRM <bold>(b)</bold>, and HR grid <bold>(c)</bold>.  The NARRM grid shows the transition from high resolution (yellow, <inline-formula><mml:math id="M43" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 km) to low resolution (blue, <inline-formula><mml:math id="M44" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km).
</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f04.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Simulations and computational cost</title>
      <?pagebreak page3959?><p id="d1e1625">We perform a set of NARRM production simulations parallel to the LR version documented by <xref ref-type="bibr" rid="bib1.bibx37" id="text.73"/> and following the same CMIP6 specifications.  The LR and NARRM production simulations analyzed in the present study are summarized in Table <xref ref-type="table" rid="Ch1.T2"/>.  These simulations consist of the CMIP6 Diagnosis, Evaluation, and Characterization of Klima (DECK) and historical simulations <xref ref-type="bibr" rid="bib1.bibx29" id="paren.74"/>, i.e., one pre-industrial control (<italic>piControl</italic>, 500 years), two idealized CO<inline-formula><mml:math id="M45" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> runs (<italic>1pctCO2</italic> and <italic>abrupt-4xCO2</italic>, each 150 years), a five-member historical ensemble (<italic>historical_N</italic>, 1850–2014), and a three-member Atmospheric Model Intercomparison Project (<italic>amip</italic>) type ensemble (<italic>amip_N</italic>, 1870–2014).  Initial conditions are taken from 1 January of different years of <italic>piControl</italic>, as indicated in Table <xref ref-type="table" rid="Ch1.T2"/> for <italic>1pctCO2</italic>, <italic>abrupt-4xCO2</italic>, and <italic>historical_N</italic> simulations. The <italic>amip_N</italic> simulations are initialized from the 1870 condition of corresponding <italic>historical_N</italic> simulations.</p>
      <p id="d1e1685">In order to estimate the effective radiative forcing of anthropogenic aerosols in LR and NARRM configurations,
we perform pairs of nudged simulations with prescribed emissions of aerosols and their precursors
for the present-day (PD, year 2010) and pre-industrial (PI, year 1850) values, which are taken from the CMIP6 emission data. Table <xref ref-type="table" rid="Ch1.T3"/> lists the nudged simulations used to assess the effective radiative forcing of anthropogenic aerosols.
Horizontal winds in LR and NARRM are nudged towards wind fields from their respective baseline simulations, with a relaxation timescale of 6 h. These nudged simulations are 15 months long, with the first 3 months discarded as spinup.
Previous studies have shown that nudging the horizontal winds can help constrain
the large-scale circulation in the model <xref ref-type="bibr" rid="bib1.bibx135 bib1.bibx103 bib1.bibx104" id="paren.75"/>, meaning that the anthropogenic aerosol effects
can be determined with relatively short simulations <xref ref-type="bibr" rid="bib1.bibx137 bib1.bibx138" id="paren.76"/>.</p>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T2" specific-use="star"><?xmltex \currentcnt{2}?><label>Table 2</label><caption><p id="d1e1699">Summary of E3SMv2 LR <xref ref-type="bibr" rid="bib1.bibx37" id="paren.77"/> and NARRM production simulations analyzed in this study.  Numbers in parentheses indicate the simulation year numbers.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="5">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="6cm"/>
     <oasis:colspec colnum="3" colname="col3" align="left"/>
     <oasis:colspec colnum="4" colname="col4" align="left"/>
     <oasis:colspec colnum="5" colname="col5" align="justify" colwidth="5cm"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Label</oasis:entry>
         <oasis:entry colname="col2">Description</oasis:entry>
         <oasis:entry colname="col3">Period</oasis:entry>
         <oasis:entry colname="col4">Ens.</oasis:entry>
         <oasis:entry colname="col5">Initialization</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col5">Fully coupled </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">(atmosphere, ocean, sea ice, land, and river) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>piControl</italic></oasis:entry>
         <oasis:entry colname="col2">Pre-industrial control</oasis:entry>
         <oasis:entry colname="col3">500 years</oasis:entry>
         <oasis:entry colname="col4">–</oasis:entry>
         <oasis:entry colname="col5">Pre-industrial spinup</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>1pctCO2</italic></oasis:entry>
         <oasis:entry colname="col2">Prescribed 1 % yr<inline-formula><mml:math id="M46" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> CO<inline-formula><mml:math id="M47" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increase</oasis:entry>
         <oasis:entry colname="col3">150 years</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5"><italic>piControl</italic> (101)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>abrupt-4xCO2</italic></oasis:entry>
         <oasis:entry colname="col2">Abrupt CO<inline-formula><mml:math id="M48" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> quadrupling</oasis:entry>
         <oasis:entry colname="col3">150 years</oasis:entry>
         <oasis:entry colname="col4">1</oasis:entry>
         <oasis:entry colname="col5"><italic>piControl</italic> (101)</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"><italic>historical_N</italic></oasis:entry>
         <oasis:entry colname="col2">Historical</oasis:entry>
         <oasis:entry colname="col3">1850–2014</oasis:entry>
         <oasis:entry colname="col4">5</oasis:entry>
         <oasis:entry colname="col5"><italic>piControl</italic> (101, 151, 201, 251, 301)</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry namest="col1" nameend="col5">Prescribed SST and sea ice extent </oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col5">(atmosphere, thermodynamic sea ice, land, and river) </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>amip_N</italic></oasis:entry>
         <oasis:entry colname="col2">Atmosphere with prescribed SSTs and sea ice concentration</oasis:entry>
         <oasis:entry colname="col3">1870–2014</oasis:entry>
         <oasis:entry colname="col4">3</oasis:entry>
         <oasis:entry colname="col5"><italic>historical_N</italic> (1870)</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{2}?></table-wrap>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T3"><?xmltex \currentcnt{3}?><label>Table 3</label><caption><p id="d1e1907">Nudged LR and NARRM atmospheric model simulations used in this study. All simulations are performed with prescribed sea surface temperature (SST) and sea ice concentration for year 2010. Nudging data are 6-hourly model output saved from the LR and NARRM free-running simulations (middle column). Due to the model instability problem with nudging application in RRM (with a relatively long time step), we use an alternative physics–dynamics coupling approach (see option “se_ftype = 1” in Sect. 3.1 of <xref ref-type="bibr" rid="bib1.bibx136" id="altparen.78"/>) for the NARRM nudged simulations. We find the impact of using different physics–dynamics coupling approaches on the global mean effective aerosol forcing estimate in LR to be small (difference <inline-formula><mml:math id="M49" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.05</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M50" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). </p></caption><oasis:table frame="topbot"><oasis:tgroup cols="3">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="left"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Label</oasis:entry>
         <oasis:entry colname="col2">Baseline simulation</oasis:entry>
         <oasis:entry colname="col3">Emission</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Nudge_LR_PD</italic></oasis:entry>
         <oasis:entry colname="col2">LR</oasis:entry>
         <oasis:entry colname="col3">2010</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Nudge_LR_PI</italic></oasis:entry>
         <oasis:entry colname="col2">LR</oasis:entry>
         <oasis:entry colname="col3">1850</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Nudge_NARRM_PD</italic></oasis:entry>
         <oasis:entry colname="col2">NARRM</oasis:entry>
         <oasis:entry colname="col3">2010</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><italic>Nudge_NARRM_PI</italic></oasis:entry>
         <oasis:entry colname="col2">NARRM</oasis:entry>
         <oasis:entry colname="col3">1850</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{3}?></table-wrap>

<sec id="Ch1.S3.SS1">
  <label>3.1</label><title>Computational performance</title>
      <p id="d1e2023">A sequence of performance benchmark simulations were run on the Argonne National Laboratory Chrysalis cluster.
Chrysalis has 512 compute nodes.
Each node has two AMD Epyc 7532 “Rome” 2.4 GHz processors.
Each processor has 32 cores, for a total of 64 cores per node.
Each node has 256 GB 16-channel DDR4 3200 MHz memory.
The interconnect hardware is Mellanox HDR200 InfiniBand
and uses the fat tree topology.
The model code was compiled using Intel release 20200925 with GCC version 8.5.0 compatibility
and run using OpenMPI 4.1.3 provided in the Mellanox HPC-X Software Toolkit.</p>
      <p id="d1e2026">The simulations are run with one MPI process per core and no OpenMP threading.
Throughput values are computed using the maximum wall-clock time (minimum throughput) over all message passing interface (MPI) processes;
model initialization time is excluded.
A throughput data point corresponds to one simulation run for 90 d.
The input/output (I/O) configuration is identical to production simulations.
At the end of 90 d, a restart file is written.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F5" specific-use="star"><?xmltex \currentcnt{5}?><?xmltex \def\figurename{Figure}?><label>Figure 5</label><caption><p id="d1e2031">Performance of the LR and NARRM historical simulations.
<bold>(a)</bold> Throughput vs. number of computer nodes.
Each data point is annotated with its throughput in simulated years per day (SYPD) and computer resource configuration name.
The dashed gray line shows the perfect-scaling slope.
<bold>(b)</bold> Computational resource plots for the L process layouts.
Each component has one rectangle.
A rectangle has the area given by the product of normalized wall-clock time and number of cores,
with the NARRM total time normalized to 1.0.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f05.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e2049">Performance of the atmosphere (Atm.) and ocean components of the NARRM historical simulation.
Solid lines show measured performance.
Dashed lines show the performance predicted by a simple model that uses the LR simulation with the XS process layout for input data;
see the text for a description of the performance model.</p></caption>
          <?xmltex \igopts{width=227.622047pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f06.png"/>

        </fig>

      <p id="d1e2058">Figure <xref ref-type="fig" rid="Ch1.F5"/> summarizes the performance of the LR and NARRM <italic>historical_N</italic> simulations
for several node counts and corresponding process layouts with names T (NARRM only), XS, S, M, and L. Note that while the layout names<?pagebreak page3960?> are shared among models, the specific layout associated with a name differs among models.
Each simulation's data point is annotated with its throughput in simulated years per day (SYPD) and process layout name.
The highest throughput of the LR simulations is 39.81 SYPD.
In <xref ref-type="bibr" rid="bib1.bibx37" id="text.79"><named-content content-type="post">Fig. 2</named-content></xref>, the highest throughput is 41.89 for the same node count;
<italic>historical_N</italic> simulations have additional forcings to compute relative to
the <italic>piControl</italic> simulation used in <xref ref-type="bibr" rid="bib1.bibx37" id="text.80"><named-content content-type="post">Fig. 2</named-content></xref>.
The LR throughput falls off from the perfect scaling slope faster than the NARRM throughput
because the LR simulation has less work per node.
For the L process layouts, accounting for 105 vs. 100 nodes,
the throughput factor difference is 3.14.</p>
      <p id="d1e2083">Figure <xref ref-type="fig" rid="Ch1.F5"/>b shows the wall-clock-time–resource product for each component for the L layouts.
A rectangle's width is proportional to the number of cores the component uses;
its height is proportional to the wall-clock time to simulate a fixed simulation period,
with the time normalized so that the NARRM simulation has a total time of 1.0.
The atmosphere (ATM), sea ice (ICE), coupler (CPL), land (LND), and river runoff (ROF; LND and ROF are too small to label) components run on one set of nodes,
while the ocean (OCN) component runs on another set.
An unfilled rectangle having “LR” or “NARRM” at the top-right corner shows the total product.
Because there is no global communication barrier between components run in sequence, the time value of each component is approximate,
and thus the filled rectangles do not sum to the total time.</p>
      <p id="d1e2088">We can understand the NARRM component-level performance
as a function of spatial and temporal discretization parameters and
one LR simulation to calibrate throughput.
The LR calibration simulation should reflect that RRM simulations have a large amount of work per node;
thus, we use the LR simulation run with the XS process layout,
the left-most LR point in Fig. <xref ref-type="fig" rid="Ch1.F5"/>a.
We focus on the two most expensive components, the atmosphere and ocean.
We start with the<?pagebreak page3961?> ocean, whose performance is simpler to model.
For simplicity, we write the formulas in terms of wall-clock time (w.c.t.) for a fixed simulation length, e.g., 90 d.
The input measured datum is the top-level ocean component (ocn) wall-clock time in the LR simulation run with the XS process layout, <inline-formula><mml:math id="M51" display="inline"><mml:mrow><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow></mml:math></inline-formula>.
The input parameters are the number of computer cores (<inline-formula><mml:math id="M52" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">core</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) used in the LR (XS) and RRM (variable) simulations,
the number of cells (<inline-formula><mml:math id="M53" display="inline"><mml:mrow><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">cell</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in each grid,
and the time steps (<inline-formula><mml:math id="M54" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi></mml:mrow></mml:math></inline-formula>) in each simulation.
For a fixed simulation length, the predicted ocean component RRM performance is then
            <disp-formula id="Ch1.E1" content-type="numbered"><label>1</label><mml:math id="M55" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">core</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">core</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">cell</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">cell</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>t</mml:mi><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">ocn</mml:mi></mml:msubsup><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          The performance model for the atmosphere is more complicated because it has two important time steps,
one each for the dynamical core (dynamics) and the column parameterizations (physics).
Thus, the factor accounting for model time steps is broken into two terms,
one each for the physics and dynamics.
The predicted atmosphere component RRM performance is then
            <disp-formula id="Ch1.E2" content-type="numbered"><label>2</label><mml:math id="M56" display="block"><mml:mtable rowspacing="0.2ex" class="split" displaystyle="true" columnalign="right left"><mml:mtr><mml:mtd><mml:mrow><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow></mml:mtd><mml:mtd><mml:mrow><mml:mo>=</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">core</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">core</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">cell</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:msub><mml:mi>n</mml:mi><mml:mi mathvariant="normal">cell</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mo>⋅</mml:mo><mml:mfenced close="" open="("><mml:mrow><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">physics</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">physics</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atmphysics</mml:mi></mml:msubsup></mml:mrow></mml:mfenced></mml:mrow></mml:mtd></mml:mtr><mml:mtr><mml:mtd/><mml:mtd><mml:mrow><mml:mfenced close=")" open=""><mml:mrow><mml:mo>+</mml:mo><mml:mstyle displaystyle="true"><mml:mfrac style="display"><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">dynamics</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow><mml:mrow><mml:mo>(</mml:mo><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>t</mml:mi><mml:mi mathvariant="normal">dynamics</mml:mi></mml:msub><mml:msubsup><mml:mo>)</mml:mo><mml:mi mathvariant="normal">RRM</mml:mi><mml:mi mathvariant="normal">atm</mml:mi></mml:msubsup></mml:mrow></mml:mfrac></mml:mstyle><mml:mo>⋅</mml:mo><mml:mi mathvariant="normal">w</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">c</mml:mi><mml:mo>.</mml:mo><mml:mi mathvariant="normal">t</mml:mi><mml:msubsup><mml:mo>.</mml:mo><mml:mi mathvariant="normal">LR</mml:mi><mml:mi mathvariant="normal">atmdynamics</mml:mi></mml:msubsup></mml:mrow></mml:mfenced><mml:mo>.</mml:mo></mml:mrow></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
          Figure <xref ref-type="fig" rid="Ch1.F6"/> shows the results of these models,
where wall-clock time and simulation length have been converted to throughput (SYPD).
The solid lines show the measured throughput of each component as a function of number of computer cores.
The dashed lines show the corresponding throughput values predicted by Eqs. (<xref ref-type="disp-formula" rid="Ch1.E1"/>) and (<xref ref-type="disp-formula" rid="Ch1.E2"/>).
The single LR XS layout ocean throughput value is used as the reference for the ocean, and the single LR XS layout atmosphere throughput value is similarly used as the reference for the atmosphere; these are the only measured data inputs to the performance models.
The primary error in the performance model is not accounting for a fall-off in scaling at large core counts.
Because this fall-off is small for the atmosphere and ocean components,
these simple performance models are accurate and can be used to predict the cost of other model configurations.
For example, a uniform high-resolution atmosphere model would use the ne120pg2 grid, which has <inline-formula><mml:math id="M57" display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mn mathvariant="normal">120</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:mrow></mml:math></inline-formula> elements.
Using the same time steps and number of vertical levels as in the NARRM configuration, which has 14 454 elements, for fixed computational resources, the high-resolution atmosphere configuration's throughput would be <inline-formula><mml:math id="M58" display="inline"><mml:mrow><mml:mn mathvariant="normal">6</mml:mn><mml:mo>⋅</mml:mo><mml:msup><mml:mn mathvariant="normal">120</mml:mn><mml:mn mathvariant="normal">2</mml:mn></mml:msup><mml:mo>/</mml:mo><mml:mn mathvariant="normal">14</mml:mn><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mn mathvariant="normal">454</mml:mn><mml:mo>=</mml:mo><mml:mn mathvariant="normal">5.98</mml:mn></mml:mrow></mml:math></inline-formula> times smaller than the NARRM configuration's throughput,
where this factor is the quotient of the numbers of elements in each of the two grids.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F7" specific-use="star"><?xmltex \currentcnt{7}?><?xmltex \def\figurename{Figure}?><label>Figure 7</label><caption><p id="d1e2576">Comparison of the global spatial RMSE of model climatology (annual and seasonal averages of years 1985–2014) vs. observations with the E3SM Diags package <xref ref-type="bibr" rid="bib1.bibx132" id="paren.81"/>. The model results are from the first historical member of E3SMv2 (0101), LR (blue triangles), and NARRM (red triangles) and 52 CMIP6 models (r1i1p1f1). The boxes and whiskers show the 25th percentile, 75th percentile, and minimum and maximum RMSE of the CMIP6 ensemble. Quantities include <bold>(a)</bold> TOA net radiation flux, <bold>(b, c)</bold> TOA SW and LW  cloud radiative effects, <bold>(d)</bold> precipitation, <bold>(e)</bold> surface air temperature over land, <bold>(f)</bold> sea level pressure, <bold>(g, h)</bold> 200 and 850 hPa zonal wind, and <bold>(i)</bold> 500 hPa geopotential height. TOA is the top of the atmosphere, SW is shortwave, CRE is cloud radiative effects, LW is longwave, ANN is annual, DJF is December–February, MAM is March–April, JJA is June–August, SON is September–November, and RMSE is root-mean-square error. The climatology of the observations and reanalysis data are calculated from CERES-EBAF Ed4.1 <xref ref-type="bibr" rid="bib1.bibx75" id="paren.82"/> (2001–2014) for <bold>(a)</bold>, <bold>(b)</bold>, and <bold>(c)</bold>; GPCP2.3 <xref ref-type="bibr" rid="bib1.bibx1" id="paren.83"/> (1985–2014) for <bold>(d)</bold>; and ERA5 <xref ref-type="bibr" rid="bib1.bibx52" id="paren.84"/> (1985–2014) for <bold>(e)</bold>, <bold>(f)</bold>, <bold>(g)</bold>, and <bold>(h)</bold>.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f07.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e2648">Surface geopotential height of <bold>(a)</bold> LR and <bold>(b)</bold> NARRM over North America.</p></caption>
          <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f08.jpg"/>

        </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F9"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e2665">Time series of global annual mean surface air temperature anomalies from the ensemble mean of LR (blue) and NARRM (red) historical runs and observational datasets (gray) (National Oceanic and Atmospheric Administration (NOAA) National Climatic Data Center (NCDC), National Aeronautics and Space Administration (NASA) GISTEMP, and HadCRUT4).  The model ensemble minimum–maximum ranges are shaded, while the observational minimum and maximum numbers are labeled in the parentheses of legend.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f09.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e2676">Comparison of climate sensitivities between LR <bold>(a, c)</bold> and NARRM <bold>(b, c)</bold> derived from idealized CO<inline-formula><mml:math id="M59" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> forcing simulations. <bold>(a, b)</bold> time series of global annual mean surface air temperature anomaly from the following simulations, <italic>abrupt-4xCO2</italic> (red), <italic>1pctCO2</italic> (blue), and the control (<italic>piControl</italic>; green). The transient climate response (TCR) is computed as a 20-year average around the time of CO<inline-formula><mml:math id="M60" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> doubling (year 70). <bold>(c, d)</bold> Gregory regression plots. The estimated effective climate sensitivity (ECS) and effective <inline-formula><mml:math id="M61" display="inline"><mml:mrow><mml:mn mathvariant="normal">2</mml:mn><mml:mo>×</mml:mo></mml:mrow></mml:math></inline-formula> CO<inline-formula><mml:math id="M62" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>   radiative forcing (<inline-formula><mml:math id="M63" display="inline"><mml:mi>F</mml:mi></mml:math></inline-formula>) are as labeled.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f10.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Global climate</title>
      <p id="d1e2761">As described above, the RRM model is expected to simulate a global climate similar to the LR model for production simulation campaigns since most areas are still covered by the same LR grids.  In this section, we will examine whether this is the case for the global mean climate, climate sensitivity, and climate feedback.</p>
      <?pagebreak page3962?><p id="d1e2764">For the global climatology, we focus on the last 3 decades (years 1985–2014) of historical simulations when more observational datasets are available.  Figure <xref ref-type="fig" rid="Ch1.F7"/> provides an overall comparison of the global mean climate among LR (blue triangles), NARRM (red triangles), and CMIP6 (boxes and whiskers) models as quantified by the uncentered spatial root-mean-square error (RMSE) relative to the observations or reanalysis data.  The RMSE numbers are calculated with the E3SM Diags package <xref ref-type="bibr" rid="bib1.bibx132" id="paren.85"/> for the first historical member (0101 for LR and NARRM, r1i1p1f1 for CMIP6 models).  Figure <xref ref-type="fig" rid="Ch1.F7"/> clearly shows that NARRM and LR simulate very similar annual and seasonal averages.  NARRM outperforms LR in the June–July–August (JJA) shortwave (SW) cloud radiative effect (CRE) partly because it better represents low clouds in NA (see Fig. <xref ref-type="fig" rid="Ch1.F13"/> for the example in California).  NARRM also simulates slightly better December–January–February (DJF) precipitation compared to LR, partly due to its improved topography (Fig. <xref ref-type="fig" rid="Ch1.F8"/>) and orographic precipitation in NA (see Fig. <xref ref-type="fig" rid="Ch1.F12"/>b, d, f).  For other times (e.g., annual mean, Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F36"/>) NARRM and LR precipitation results are very similar.  On the other hand, NARRM does not perform as well as LR for some other fields, such as the 200 hPa zonal wind in JJA and September–October–November (SON), which are associated with the increased positive biases in the tropical western Pacific and Amazon (not shown).</p>
      <p id="d1e2783">Figure <xref ref-type="fig" rid="Ch1.F9"/> compares the long time series (years 1850–2014) of global annual average anomalies in the surface air temperature from the ensemble means of LR and NARRM historical simulations and observational datasets (National Oceanic and Atmospheric Administration National Climatic Data Center <xref ref-type="bibr" rid="bib1.bibx101 bib1.bibx134" id="paren.86"/>, National Aeronautics and Space Administration GISTEMP <xref ref-type="bibr" rid="bib1.bibx35 bib1.bibx45" id="paren.87"/>, and HadCRUT4 <xref ref-type="bibr" rid="bib1.bibx77" id="paren.88"/>).  Over the whole period, NARRM tracks LR closely, including good agreement with<?pagebreak page3963?> observations until the 1930s and low biases afterwards, which are mainly attributed to too strong aerosol-related forcing and feedback <xref ref-type="bibr" rid="bib1.bibx37" id="paren.89"><named-content content-type="pre">see</named-content><named-content content-type="post">for details</named-content></xref>.  This is further confirmed by the fact that the global mean effective radiative forcing of anthropogenic aerosols in NARRM and LR are very similar (<inline-formula><mml:math id="M64" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>1.415 W m<inline-formula><mml:math id="M65" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. <inline-formula><mml:math id="M66" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.421 W m<inline-formula><mml:math id="M67" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), as quantified by a pair of nudged simulations (see Sect. <xref ref-type="sec" rid="Ch1.S5.SS1.SSS2"/>).</p>
      <p id="d1e2845">Following the CMIP6 DECK protocol <xref ref-type="bibr" rid="bib1.bibx29" id="paren.90"/>, we quantify the climate sensitivity and feedback with the abrupt quadrupling of CO<inline-formula><mml:math id="M68" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> (<italic>abrupt-4xCO2</italic>) and the transient climate response (TCR) with a simulation forced by a 1 % yr<inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mi mathvariant="normal">−</mml:mi><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> CO<inline-formula><mml:math id="M70" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> increase (<italic>1pctCO2</italic>) relative to the pre-industrial control simulation (<italic>piControl</italic>).  The equilibrium climate sensitivity (ECS) is estimated with the linear regression of TOA radiation change against surface temperature change in a 150-year <italic>abrupt-4xCO2</italic> simulation <xref ref-type="bibr" rid="bib1.bibx39" id="paren.91"/>.  The 2xCO<inline-formula><mml:math id="M71" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> effective radiative forcing (ERF) is computed as the <inline-formula><mml:math id="M72" display="inline"><mml:mi>y</mml:mi></mml:math></inline-formula> intercept of the Gregory plot divided by two, which measures the energy imbalance caused by doubling the atmospheric CO<inline-formula><mml:math id="M73" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration while keeping the surface temperature unchanged.  TCR, which measures the response on shorter timescales, is derived based on its definition – the average surface temperature change in the 20-year period when the CO<inline-formula><mml:math id="M74" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration doubles from a <italic>1pctCO2</italic> experiment.</p>
      <?pagebreak page3964?><p id="d1e2936">Figure <xref ref-type="fig" rid="Ch1.F10"/> depicts the annual mean surface temperature change as a function of time and the Gregory plots from the idealized CO<inline-formula><mml:math id="M75" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> experiments with LR and NARRM. The differences in climate sensitivity between LR and NARRM are very subtle as quantified by both ECS (4.00 K vs. 3.94 K) and TCR (2.41 K vs. 2.44 K).</p>
      <p id="d1e2950">The regression slope in the Gregory plot (Fig. <xref ref-type="fig" rid="Ch1.F10"/>c, d) denotes the total radiative feedback caused by the quadrupled CO<inline-formula><mml:math id="M76" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> concentration. We further apply the radiative kernel method <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx49" id="paren.92"/> to decompose the total radiative feedback into non-cloud and cloud feedbacks. The cloud feedback is estimated by adjusting the cloud radiative effect anomalies for non-cloud influences.  Overall, NARRM shows a slightly larger ERF (3.22 W m<inline-formula><mml:math id="M77" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 2.98 W m<inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which accompanied with the similar ECS produces a stronger negative total climate feedback in NARRM. The total climate feedback is <inline-formula><mml:math id="M79" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.74</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M80" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M81" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for LR and <inline-formula><mml:math id="M82" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">0.82</mml:mn></mml:mrow></mml:math></inline-formula> W m<inline-formula><mml:math id="M83" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> for NARRM, which mainly relates to the slightly weaker positive SW cloud feedback in NARRM than in LR (see Fig. <xref ref-type="fig" rid="Ch1.F22"/>).</p>
      <p id="d1e3063">In summary, the results in this section confirm that NARRM with the hybrid time step methodology simulates largely identical global climate as its corresponding LR configuration and hence satisfies the necessary requirement (i.e., good global climate) of global RRM production simulations we proposed in the introduction.</p>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>North American results</title>
      <p id="d1e3075">In this section, we will zoom in over the refined region over North America (NA) and emphasize climate aspects most relevant to the E3SM water cycle scientific goals <xref ref-type="bibr" rid="bib1.bibx68" id="paren.93"/> as well as some weaknesses in LR revealed by <xref ref-type="bibr" rid="bib1.bibx37" id="text.94"/>.  The results will be described for the atmosphere, land, and river models, respectively.  Moreover, we will analyze interactions between different components (i.e., land–atmosphere coupling) because these interactions are also expected to change with the resolution increase.</p>
<sec id="Ch1.S5.SS1">
  <label>5.1</label><title>Atmosphere</title>
<sec id="Ch1.S5.SS1.SSS1">
  <label>5.1.1</label><title>Hydrology over the CONUS</title>
      <?pagebreak page3965?><p id="d1e3098">First, we look at the overall atmospheric results over the CONUS (20–50<inline-formula><mml:math id="M85" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 65–125<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W) by comparing the spatial RMSEs of the historical ensemble means between LR (blue triangles) and NARRM (red triangles) in Fig. <xref ref-type="fig" rid="Ch1.F11"/>.  The same metric is used in Fig. <xref ref-type="fig" rid="Ch1.F7"/> for the global results, but we adjust the variables to be more relevant to the CONUS.  NARRM generally produces better (as quantified by smaller RMSE numbers) results than LR for these annual and seasonal climatologies, such as SW CRE (Fig. <xref ref-type="fig" rid="Ch1.F11"/>a), precipitation (Fig. <xref ref-type="fig" rid="Ch1.F11"/>c), and 200 hPa zonal wind (Fig. <xref ref-type="fig" rid="Ch1.F11"/>f).  Because we have not retuned the physics of NARRM, some deteriorations are expected, for example longwave (LW) CRE in DJF and March–April–May (MAM) (Fig. <xref ref-type="fig" rid="Ch1.F11"/>b).</p>
      <p id="d1e3132">Precipitation and clouds, which are obviously important quantities for the water cycle, are largely improved in NARRM compared to LR.  The precipitation patterns are better captured by NARRM as observed at the Sierra Madre Occidental in JJA (Fig. <xref ref-type="fig" rid="Ch1.F12"/> left column) and in the western US in DJF (Fig. <xref ref-type="fig" rid="Ch1.F12"/> right column) due to the better-resolved topography in NARRM (see Fig. <xref ref-type="fig" rid="Ch1.F8"/>).  The poor representation of marine stratocumulus clouds is a long-standing problem that plagues many ESMs <xref ref-type="bibr" rid="bib1.bibx6" id="paren.95"><named-content content-type="pre">e.g.,</named-content></xref>.  The underestimation of summertime low clouds (manifested as the excessive TOA shortwave CRE) in the California stratocumulus region is substantially improved with NARRM (Fig. <xref ref-type="fig" rid="Ch1.F13"/>).  The improvement in this bias is likely due to a reduced bias in the simulated sea surface temperature (SST) in the coupled RRM.  To constrain the impact of the RRM on the SST bias, we conduct two additional experiments: one where the LR ocean is coupled to the RRM atmosphere, and another where the RRM ocean is coupled to the LR atmosphere.  The simulated SST bias averaged over years 51–100 of the piControl is shown in Fig. <xref ref-type="fig" rid="Ch1.F14"/>.  Comparison of Fig. <xref ref-type="fig" rid="Ch1.F14"/>a and b shows a clear reduction in bias for the NARRM simulation.  Figure <xref ref-type="fig" rid="Ch1.F14"/>c and d illustrate that the regional refinement in the atmosphere (c) is primarily responsible for the reduction in SST bias; however, comparing to the NARRM result, we see that the bias is further reduced when regional refinement is included in both components, highlighting the advantage of coupled RRM over a single-component RRM.  Further details will be described in a future paper by Van Roekel et al. (Luke P. Van Roekel, personal communication, 2023).</p>
      <p id="d1e3155">Another well-known issue of global ESMs is the poorly captured diurnal propagation of organized mesoscale convective systems (MCSs).  Over CONUS, such MCSs originate from the front range of the Rockies in the afternoon and propagate eastward, manifesting as a nocturnal precipitation peak in the central US and contributing as much as half of the summertime rainfall in that region <xref ref-type="bibr" rid="bib1.bibx93 bib1.bibx60" id="paren.96"/>.  Both LR and NARRM simulate the summertime nocturnal rain peak in the central US (Fig. <xref ref-type="fig" rid="Ch1.F15"/>) because of the new convective trigger method for deep convection <xref ref-type="bibr" rid="bib1.bibx122" id="paren.97"/>.  However, the magnitude is weaker and the area of nocturnal peak extends much larger (almost the whole eastern half of the US) than the observation, which could be caused by remaining propagation or convective trigger deficiencies.  Nevertheless, NARRM reduces the underestimation of maximum diurnal cycle magnitude with an 80 % greater value (5.61 mm d<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> vs. 3.10 mm d<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) than LR on the same 100 km grids.  The NARRM maximum can be as high as 6.71 mm d<inline-formula><mml:math id="M89" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> on the 25 km grids but still biases low compared to the observation (10.89 mm d<inline-formula><mml:math id="M90" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>).  This result suggests that a resolution of <inline-formula><mml:math id="M91" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 km is not adequate to capture the physics driving propagating MCSs, which probably require convection-permitting atmospheric simulations to achieve a good agreement with observations <xref ref-type="bibr" rid="bib1.bibx11" id="paren.98"/>.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F11" specific-use="star"><?xmltex \currentcnt{11}?><?xmltex \def\figurename{Figure}?><label>Figure 11</label><caption><p id="d1e3228">The same as Fig. <xref ref-type="fig" rid="Ch1.F7"/> but contrasting LR and NARRM historical ensemble means at the refined CONUS area (20–50<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 65–125<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W).  Note that variables shown are adjusted to be more appropriate for the CONUS.  <bold>(a, b)</bold> TOA SW and LW cloud radiative effects, <bold>(c)</bold> precipitation, <bold>(d)</bold> total precipitable water, <bold>(e)</bold> surface air temperature, <bold>(f, g)</bold> 200 and 850 hPa zonal wind, and <bold>(h, i)</bold> 500 hPa geopotential height and vertical velocity (pressure).  The same reference climatology data are used for the variables also shown in Fig. <xref ref-type="fig" rid="Ch1.F7"/>, whereas ERA5 <xref ref-type="bibr" rid="bib1.bibx52" id="paren.99"/> (1985–2014) is used for <bold>(d)</bold>, <bold>(e)</bold>, and <bold>(i)</bold>.</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f11.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F12" specific-use="star"><?xmltex \currentcnt{12}?><?xmltex \def\figurename{Figure}?><label>Figure 12</label><caption><p id="d1e3293">Comparison of CONUS JJA <bold>(a, c, e)</bold> and DJF <bold>(b, d, f)</bold> precipitation geographic patterns from ERA5 reanalysis <bold>(a, b)</bold>, LR <bold>(c, d)</bold>, and NARRM <bold>(e, f)</bold> historical ensemble means.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f12.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F13"><?xmltex \currentcnt{13}?><?xmltex \def\figurename{Figure}?><label>Figure 13</label><caption><p id="d1e3319">Mean TOA shortwave cloud radiative effects at California in JJA of <bold>(a)</bold> observations (CERES-EBAF Ed4.1), <bold>(b)</bold> LR (H1-5) minus observation, and <bold>(c)</bold> NARRM (H1-5) minus observation.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f13.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F14" specific-use="star"><?xmltex \currentcnt{14}?><?xmltex \def\figurename{Figure}?><label>Figure 14</label><caption><p id="d1e3339">Sea surface temperature (SST) bias (model–observations) simulated by four configurations of E3SMv2 <bold>(a)</bold> NARRM, <bold>(b)</bold> LR, and <bold>(c)</bold> RRM atmosphere coupled to LR ocean and <bold>(d)</bold> LR atmosphere coupled to RRM ocean. The data are averaged over years 51–100 of the respective <italic>piControl</italic> simulations.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f14.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F15" specific-use="star"><?xmltex \currentcnt{15}?><?xmltex \def\figurename{Figure}?><label>Figure 15</label><caption><p id="d1e3366">Mean diurnal phase (local time, colors) and magnitude (color density) of the maximum precipitation in JJA calculated from the first harmonic of 3-hourly total precipitation (mm d<inline-formula><mml:math id="M94" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) for <bold>(a)</bold> Tropical Rainfall Measuring Mission (TRMM) observations <xref ref-type="bibr" rid="bib1.bibx57" id="paren.100"/>, <bold>(b)</bold> LR (H1-5), <bold>(c)</bold> NARRM (H1-5) regridded to the same 100 km grids as <bold>(b)</bold>, and <bold>(d)</bold> NARRM (H1-5) on 25 km grids.</p></caption>
            <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f15.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS1.SSS2">
  <label>5.1.2</label><title>Aerosols</title>
      <p id="d1e3414">The E3SMv2 LR model <xref ref-type="bibr" rid="bib1.bibx37" id="paren.101"/> simulates too strong aerosol-related forcing, which has been identified as the primary cause of the underestimated warming in the later portion of historical period in Fig. <xref ref-type="fig" rid="Ch1.F9"/>.  We will examine here if the NARRM configuration helps bring down the biases in aerosols and anthropogenic forcing by better resolving the meteorological and climate fields. In addition, since NARRM employs the hybrid time step approach that eliminates retuning the scale-dependent aerosol parameters used in LR, e.g.,  the global scaling factor used to constrain the total emission fluxes of natural aerosols (dust and sea salt), which depend non-linearly on the model-resolved small-scale surface winds, we will also discuss the impact of increasing model horizontal resolution on the natural aerosols and total aerosol optical depth (AOD) in NARRM.</p>
      <p id="d1e3422"><list list-type="order">
              <list-item>

      <p id="d1e3427"><italic>Impact on anthropogenic aerosols.</italic></p>

      <p id="d1e3431">Aerosols in the NARRM configuration are represented in the same manner as in the LR with the enhanced MAM4 <xref ref-type="bibr" rid="bib1.bibx119" id="paren.102"/> and improved dust aerosol properties <xref ref-type="bibr" rid="bib1.bibx31" id="paren.103"/>. Anthropogenic and wildfire emissions used in the LR and NARRM experiments are also from the same input datasets. However, cloud microphysical processes, horizontal advection, and convection can affect aerosol loading within the NARRM high-resolution domain if wet deposition and/or transport are substantially different from the LR configuration <xref ref-type="bibr" rid="bib1.bibx10" id="paren.104"/>. We first compare modeled surface mass concentrations of SO<inline-formula><mml:math id="M95" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, sulfate, black carbon, and organic carbon between the ensemble means of LR and NARRM historical simulations, and evaluate them against ground-based observations from the Clean Air Status and Trends Network (CASTNET) and the Interagency Monitoring of Protected Visual Environments (IMPROVE). The results are shown in Fig. <xref ref-type="fig" rid="Ch1.F16"/>. In general, both sets of simulations show a strong correlation with measurements, and biases are very similar between the two for the anthropogenic aerosol species. NARRM simulations slightly increase (less than 7 %) the concentrations of the four species shown here, compared to LR simulations, which may result from less wet removal or vertical transport in the refined mesh.</p>
              </list-item>
              <list-item>

      <p id="d1e3457"><italic>Impact on natural aerosols.</italic></p>

      <?pagebreak page3966?><p id="d1e3461">In addition to aerosol removal, emissions of natural aerosols such as dust and sea salt are highly sensitive to resolution changes due to their strong dependence on the resolved surface wind speeds in the model. Increasing model horizontal resolution normally requires retuning the dust and sea salt aerosol emission factors. For E3SMv1, <xref ref-type="bibr" rid="bib1.bibx31" id="text.105"/> showed that without retuning, an increase in the horizontal resolution by a factor of 4 (i.e., from <inline-formula><mml:math id="M96" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 100 km in LR to <inline-formula><mml:math id="M97" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 25 km in HR) results in about 29 % increase in global dust emissions and an even larger increase in dust AOD of 42 % due to the combined effects from the weakened removal. In contrast, as shown in Table <xref ref-type="table" rid="Ch1.T4"/>, NARRM historical runs simulate nearly the same global mean AODs as LR for all the aerosol species including dust and sea salt, without changing their emission factors. Over the regionally refined CONUS, the mean dust and sea salt AODs are slightly increased (<inline-formula><mml:math id="M98" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 5 %). This suggests that NARRM largely retains the performance of LR for the aerosol simulations on the global and regional mean basis without requiring additional retuning of the scale-dependent emission factors.</p>
              </list-item>
              <list-item>

      <p id="d1e3493"><italic>Aerosol spatial variability and extremes.</italic></p>

      <p id="d1e3497">On the other hand, NARRM shows improvement over LR in representing aerosol spatial variability and extreme values over the refined mesh region. Figure <xref ref-type="fig" rid="Ch1.F17"/> compares the simulated AOD (550 nm) distributions between LR (0101) and NARRM (0101) historical simulations for the present-day time period of 2000–2014. While both depict a similar general geographical pattern, e.g., higher AODs over the more polluted eastern US than the western part of the country, NARRM captures greater and finer detail in spatial variability than LR, e.g., over the mountainous areas along the Rockies, Sierra Nevada, and Appalachians. The better-resolved AOD variability in NARRM results from the spatial refinement of the resolution-dependent aerosol emission fluxes (natural species), transport, and removal, as discussed above. Compared to the ground-based AOD measurements at the 37 AERONET <xref ref-type="bibr" rid="bib1.bibx53" id="paren.106"/> sites (2006–2015), NARRM shows stronger spatial correlation with the observations than LR (Fig. <xref ref-type="fig" rid="Ch1.F17"/>c). Both configurations overestimate the mean AOD averaged over the AERONET sites, possibly linked to the weak wet removal in E3SMv2 <xref ref-type="bibr" rid="bib1.bibx37" id="paren.107"/>.</p>

      <?pagebreak page3967?><p id="d1e3510">In addition to the improved spatial variability, higher resolution in NARRM also leads to more frequent occurrences of large AOD predictions over CONUS than the LR model, especially over the regions dominated by wind-driven dust or sea salt aerosols. Figure <xref ref-type="fig" rid="Ch1.F18"/> shows an example of the calculated probability density function (PDF) for dust AOD over the major dust source region in the US (32–42<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 118–108<inline-formula><mml:math id="M100" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W; indicated by the <inline-formula><mml:math id="M101" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> box in Fig. <xref ref-type="fig" rid="Ch1.F17"/>b), from both the LR (0101) and NARRM (0101) simulations in 2000–2014, which are remapped to the same 0.25<inline-formula><mml:math id="M102" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> grid resolution. It is worth noting that the remapping of the LR results to the finer resolution leads to little improvement in the resolved spatial variability in dust AOD. Clearly, NARRM predicts more occurrences of high dust AOD over this region than LR, e.g., 22 % of the dust AODs predicted by NARRM exceed 0.015, which is the top 98th percentile of the LR model predictions remapped to the same resolution. This suggests that LR may significantly underestimate the occurrences of large dust outbreaks in the southwestern US region relative to NARRM due to the unresolved surface winds for dust mobilization in the model. Similarly, NARRM would be more suitable for urban climate or air quality studies for capturing the extremely polluted cases occurring at finer spatial or temporal scales.</p>
              </list-item>
              <list-item>

      <p id="d1e3568"><italic>Effective radiative forcing of anthropogenic aerosols.</italic></p>

      <p id="d1e3572">Figure <xref ref-type="fig" rid="Ch1.F19"/> shows the effective radiative forcing of anthropogenic
aerosols (<inline-formula><mml:math id="M103" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math></inline-formula>) over CONUS and adjacent ocean areas estimated using nudged LR and NARRM simulations.
<inline-formula><mml:math id="M104" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math></inline-formula> is overall negative in both LR and NARRM and dominated by the shortwave
component (<inline-formula><mml:math id="M105" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in Figure <xref ref-type="fig" rid="Ch1.F19"/>b, e).
The regional mean <inline-formula><mml:math id="M106" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M107" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">LW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> are both slightly stronger
(more negative for <inline-formula><mml:math id="M108" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and more positive for <inline-formula><mml:math id="M109" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">LW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) in NARRM compared to LR.
Over the Pacific Ocean near 20<inline-formula><mml:math id="M110" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N and 120<inline-formula><mml:math id="M111" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W, <inline-formula><mml:math id="M112" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:msub><mml:mi>F</mml:mi><mml:mi mathvariant="normal">SW</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M113" display="inline"><mml:mrow><mml:mi mathvariant="normal">Δ</mml:mi><mml:mi>F</mml:mi></mml:mrow></mml:math></inline-formula> in NARRM are
much stronger than in LR. This is mainly caused by larger low cloud fraction simulated in NARRM (see Appendix Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F37"/>), which causes a larger contrast in droplet number concentration and liquid
water path between the PD and PI simulations compared to LR (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F38"/>).</p>
              </list-item>
            </list></p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F16" specific-use="star"><?xmltex \currentcnt{16}?><?xmltex \def\figurename{Figure}?><label>Figure 16</label><caption><p id="d1e3715">Scatter plots of modeled annual mean surface concentrations of <bold>(a)</bold> SO<inline-formula><mml:math id="M114" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula>, <bold>(b)</bold> sulfate, <bold>(c)</bold> black carbon, and <bold>(d)</bold> organic carbon (POM<inline-formula><mml:math id="M115" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SOA) from LR (H1-5) and NARRM (H1-5) compared to observations at CASTNET and IMPROVE network surface sites during 2005–2014. The numbers are mean concentration and correlation coefficient (<inline-formula><mml:math id="M116" display="inline"><mml:mi>R</mml:mi></mml:math></inline-formula>) for data at the individual sites.</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f16.png"/>

          </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T4" specific-use="star"><?xmltex \currentcnt{4}?><label>Table 4</label><caption><p id="d1e3764">Comparison of simulated annual mean AOD (550 nm) between LR (H1-5) and NARRM (H1-5) for the time period of 1985–2014. POM stands for particulate organic matter, BC stands for black carbon, and SOA stands for secondary organic aerosol.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="8">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:colspec colnum="8" colname="col8" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">AOD</oasis:entry>
         <oasis:entry colname="col2">Total</oasis:entry>
         <oasis:entry colname="col3">Dust</oasis:entry>
         <oasis:entry colname="col4">Sea salt</oasis:entry>
         <oasis:entry colname="col5">Sulfate</oasis:entry>
         <oasis:entry colname="col6">POM</oasis:entry>
         <oasis:entry colname="col7">BC</oasis:entry>
         <oasis:entry colname="col8">SOA</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8">Global means </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LR</oasis:entry>
         <oasis:entry colname="col2">0.164</oasis:entry>
         <oasis:entry colname="col3">0.028</oasis:entry>
         <oasis:entry colname="col4">0.049</oasis:entry>
         <oasis:entry colname="col5">0.033</oasis:entry>
         <oasis:entry colname="col6">0.009</oasis:entry>
         <oasis:entry colname="col7">0.006</oasis:entry>
         <oasis:entry colname="col8">0.039</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">NARRM</oasis:entry>
         <oasis:entry colname="col2">0.163</oasis:entry>
         <oasis:entry colname="col3">0.028</oasis:entry>
         <oasis:entry colname="col4">0.049</oasis:entry>
         <oasis:entry colname="col5">0.033</oasis:entry>
         <oasis:entry colname="col6">0.009</oasis:entry>
         <oasis:entry colname="col7">0.006</oasis:entry>
         <oasis:entry colname="col8">0.038</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry namest="col1" nameend="col8">CONUS means </oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">LR</oasis:entry>
         <oasis:entry colname="col2">0.129</oasis:entry>
         <oasis:entry colname="col3">0.0098</oasis:entry>
         <oasis:entry colname="col4">0.0205</oasis:entry>
         <oasis:entry colname="col5">0.0507</oasis:entry>
         <oasis:entry colname="col6">0.0074</oasis:entry>
         <oasis:entry colname="col7">0.0057</oasis:entry>
         <oasis:entry colname="col8">0.034</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">NARRM</oasis:entry>
         <oasis:entry colname="col2">0.129</oasis:entry>
         <oasis:entry colname="col3">0.0101</oasis:entry>
         <oasis:entry colname="col4">0.0214</oasis:entry>
         <oasis:entry colname="col5">0.0502</oasis:entry>
         <oasis:entry colname="col6">0.0075</oasis:entry>
         <oasis:entry colname="col7">0.0057</oasis:entry>
         <oasis:entry colname="col8">0.034</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{4}?></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F17"><?xmltex \currentcnt{17}?><?xmltex \def\figurename{Figure}?><label>Figure 17</label><caption><p id="d1e3950">Aerosol optical depth (AOD) at 550 nm from <bold>(a)</bold> LR (0101) and <bold>(b)</bold> NARRM (0101) historical simulations averaged over 2000–2014. Panel <bold>(c)</bold> shows the AOD comparison of the two model simulations with the AERONET observations during 2006–2015. The site locations of AERONET are denoted by the gray dots in panel <bold>(a)</bold>. The gray box in panel <bold>(b)</bold> denotes the dust region referenced in Fig. <xref ref-type="fig" rid="Ch1.F18"/>.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f17.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F18"><?xmltex \currentcnt{18}?><?xmltex \def\figurename{Figure}?><label>Figure 18</label><caption><p id="d1e3979">Calculated probability density function (PDF) of the dust AOD predictions from LR (0101) and NARRM (0101) between 2000–2014 remapped to the same 0.25<inline-formula><mml:math id="M117" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>  grid resolution, over the major dust source region in the US (32–42<inline-formula><mml:math id="M118" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> N, 118–108<inline-formula><mml:math id="M119" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W; indicated by the <inline-formula><mml:math id="M120" display="inline"><mml:mrow><mml:mn mathvariant="normal">10</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">10</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> box in Fig. <xref ref-type="fig" rid="Ch1.F17"/>b).</p></caption>
            <?xmltex \igopts{width=142.26378pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f18.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F19" specific-use="star"><?xmltex \currentcnt{19}?><?xmltex \def\figurename{Figure}?><label>Figure 19</label><caption><p id="d1e4039">Anthropogenic aerosol effects simulated by the nudged LR and NARRM simulations.</p></caption>
            <?xmltex \igopts{width=497.923228pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f19.jpg"/>

          </fig>

</sec>
<?pagebreak page3968?><sec id="Ch1.S5.SS1.SSS3">
  <label>5.1.3</label><title>Cloud and cloud feedback</title>
      <p id="d1e4056">Here we examine the impact of increased horizontal resolution over NA on the simulated clouds and their radiative effects with the LR and NARRM historical simulations and on cloud feedback changes with the quadrupling <italic>4xCO</italic><inline-formula><mml:math id="M121" display="inline"><mml:msub><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msub></mml:math></inline-formula> simulations.</p>
      <p id="d1e4070">Figure <xref ref-type="fig" rid="Ch1.F20"/> compares the cloud cover between the E3SM CALIPSO (Cloud-Aerosol Lidar and Infrared Pathfinder Satellite Observation) simulator output and the GCM-Oriented CALIPSO Cloud Product (CALIPSO-GOCCP) <xref ref-type="bibr" rid="bib1.bibx140" id="paren.108"/>. Cloud cover and cloud thermodynamic phase are diagnosed with the same algorithm in the CALIPSO simulator and CALIPSO-GOCCP data, facilitating consistent model–observation comparisons <xref ref-type="bibr" rid="bib1.bibx14 bib1.bibx15 bib1.bibx12" id="paren.109"/>. Observed total cloud cover is larger over the NA polar region than the CONUS in the CALIPSO-GOCCP data. Total cloud cover is larger than 60 % over the eastern Pacific Ocean, northern Atlantic Ocean, and Arctic Ocean. Strong land–ocean contrast is observed – liquid phase clouds dominate over the ocean, while ice phase clouds prevail over the land in areas such as Greenland and CONUS. Compared to CALIPSO-GOCCP, LR overestimates total cloud cover at NA high latitudes and the western CONUS and underestimates it in Greenland, particularly over Baffin Bay and near the Greenland coast. The underestimated cloud cover over the western coast of the CONUS is also notable, which is consistent with the previous discussion on Fig. <xref ref-type="fig" rid="Ch1.F13"/>. The excessive modeled total cloud cover is primarily attributed to the positive biases in the liquid cloud over the polar region. The positive biases of ice cloud cover contributes to the biases over the mountainous regions in the western NA. On the other hand, ice clouds are underestimated over Greenland and northern Canada.</p>
      <p id="d1e4083">Over land, NARRM displays improvements relative to LR in western NA and the Arctic for both cloud phases. For instance, the ice cloud biases are significantly reduced from Alaska to the western CONUS (Fig. <xref ref-type="fig" rid="Ch1.F20"/>f, i), and the liquid cloud deficiencies over Alaska and Greenland are generally decreased (Fig. <xref ref-type="fig" rid="Ch1.F20"/>e, h). The better represented topography in NARRM (Fig. <xref ref-type="fig" rid="Ch1.F8"/>) is probably the key factor of these NARRM improvements. The impact of increased horizontal resolution on simulated cloud phase is also noted in the E3SMv1 model with the CALIPSO simulator <xref ref-type="bibr" rid="bib1.bibx139" id="paren.110"/>, where increased horizontal resolution also slightly decreases simulated liquid and ice clouds at temperatures warmer than <inline-formula><mml:math id="M122" display="inline"><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">40</mml:mn></mml:mrow></mml:math></inline-formula> <inline-formula><mml:math id="M123" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C in the Arctic region.</p>
      <?pagebreak page3969?><p id="d1e4115">Over ocean, NARRM substantially improves the stratocumulus clouds to the west of coastal regions. NARRM also moderately outperforms LR in representing liquid clouds over the North Atlantic to the west of Greenland. This is related to the warmer (<inline-formula><mml:math id="M124" display="inline"><mml:mo lspace="0mm">∼</mml:mo></mml:math></inline-formula> 1.5 <inline-formula><mml:math id="M125" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) NARRM surface air temperature over the Labrador Sea. This warmer NARRM surface air temperature is consistent with the decreased sea ice concentration in that region (not shown), which is somewhat expected as an advantage of refining grids for both atmosphere and ocean and sea ice (see Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F34"/>). Further process-level analysis is necessary to fully understand this LR-NARRM model behavior change and will be reported in separate papers.</p>
      <p id="d1e4137">Figure <xref ref-type="fig" rid="Ch1.F21"/> compares the simulated SW and LW CRE with the CERES-EBAF Ed4.1 observations. Large negative SW CRE biases and positive LW CRE biases are shown over the Arctic land area and western coast of NA (i.e., Alaska to Oregon) in LR, which mainly result from the overestimated cloud cover. These biases are substantially reduced in NARRM, primarily owing to the improved cloud cover (Fig. <xref ref-type="fig" rid="Ch1.F20"/>). Given the reduced negative bias of marine stratocumulus clouds in NARRM near the western coasts of the CONUS, simulated SW CRE is also largely improved. As discussed by <xref ref-type="bibr" rid="bib1.bibx37" id="text.111"/>, sea ice concentration is largely overestimated over the North Atlantic Ocean in LR. The too large sea ice extent leads to weaker SW and LW CRE than observed in the Labrador Sea. This is primarily because of the brighter and colder sea ice surface in LR that reflects more SW radiative fluxes and emits less LW radiative fluxes than the observations under clear-sky conditions (not shown). Compared to LR, the maximum positive bias in NARRM sea ice extent in Labrador Sea is greatly alleviated. The better simulated sea ice extent reduces the biases of overly reflective clear-sky SW radiation and the insufficient clear-sky outgoing LW radiation. With generally comparable all-sky SW and LW radiative fluxes between LR and NARRM, those reduced clear-sky biases thus lead to a better CRE in NARRM over Labrador Sea.</p>
      <p id="d1e4147">Given the improved historical cloud cover and cloud radiative effects over NA, we further examine the regional climate feedbacks over this region in Fig. <xref ref-type="fig" rid="Ch1.F22"/>. Relative to the global mean value, the total climate feedback over NA is more negative from NARRM than from LR. This mainly results from the more negative Planck feedback and less positive SW cloud feedbacks. The more negative Planck feedback is related to the stronger surface warming over the northeastern Pacific (not shown).</p>
      <p id="d1e4152">Figure <xref ref-type="fig" rid="Ch1.F23"/> shows the spatial distribution of cloud feedback of LR and NARRM in the NA region. Due to the different cloud types over land and ocean, we report their regional averages separately. Notably, the total land cloud feedback is 0.41 W m<inline-formula><mml:math id="M126" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M127" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> smaller in NARRM (0.26 W m<inline-formula><mml:math id="M128" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M129" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) than in LR (0.67 W m<inline-formula><mml:math id="M130" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> K<inline-formula><mml:math id="M131" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>), which is dominated by the reduced SW cloud feedback over the northeastern US (Fig. <xref ref-type="fig" rid="Ch1.F23"/>e). Further examination indicates this reduction is mainly related to the weaker reduction in low cloud cover under warming in NARRM. Figure <xref ref-type="fig" rid="Ch1.F20"/>g shows that the overestimated cloud cover is slightly alleviated over the Arctic land region in NARRM, implying that the lower mean state cloud cover might contribute to a weaker cloud reduction under warming there. Over ocean, NARRM presents a stronger SW cloud feedback and a weaker LW cloud feedback over the<?pagebreak page3970?> marine low cloud regime, leading to a small change in total cloud feedback. Across the CSS/WGNE Pacific Cross-Section Intercomparison (GPCI) transect <xref ref-type="bibr" rid="bib1.bibx109" id="paren.112"/>, NARRM tends to show a weaker positive cloud feedback near the coast and more positive cloud feedback off the coast. These factors suggest that the regional refinement can significantly affect the regional cloud responses under warming and the predictability of regional climate.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F20" specific-use="star"><?xmltex \currentcnt{20}?><?xmltex \def\figurename{Figure}?><label>Figure 20</label><caption><p id="d1e4239">Spatial distribution of annual mean total cloud cover <bold>(a)</bold> and cloud cover in liquid phase <bold>(b)</bold> and ice phase <bold>(c)</bold> from the CALIPSO-GOCCP data. The cloud cover biases in LR (H1-5) and NARRM (H1-5) historical simulations (1985–2014) are shown in <bold>(d)</bold>–<bold>(f)</bold> and <bold>(g)</bold>–<bold>(i)</bold>, respectively. Simulated cloud cover and cloud thermodynamic phase are derived by the CALIPSO simulator. Climatology data of CALIPSO-GOCCP version 3.1.2 <xref ref-type="bibr" rid="bib1.bibx15" id="paren.113"/> from 2006–2018 are used in the model evaluation.</p></caption>
            <?xmltex \igopts{width=469.470472pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f20.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F21" specific-use="star"><?xmltex \currentcnt{21}?><?xmltex \def\figurename{Figure}?><label>Figure 21</label><caption><p id="d1e4275">Spatial distribution of the observed shortwave cloud radiative effect <bold>(a)</bold>, the longwave cloud radiative effect <bold>(b)</bold>, and the simulated cloud radiative effect biases in LR (H1-5) <bold>(c, d)</bold> and NARRM (H1-5) <bold>(e, f)</bold> historical simulations (1985–2014). The observed cloud radiative effect is from the CERES-EBAF Ed4.1.</p></caption>
            <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f21.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F22"><?xmltex \currentcnt{22}?><?xmltex \def\figurename{Figure}?><label>Figure 22</label><caption><p id="d1e4299">Mean global and NA climate feedbacks of LR and NARRM decomposed using radiative kernels (e.g., <xref ref-type="bibr" rid="bib1.bibx102 bib1.bibx49" id="altparen.114"/>).</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f22.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F23" specific-use="star"><?xmltex \currentcnt{23}?><?xmltex \def\figurename{Figure}?><label>Figure 23</label><caption><p id="d1e4313">Spatial distribution of total <bold>(a, d, g)</bold>, SW <bold>(b, e, h)</bold>, and LW <bold>(c, f, i)</bold> North American cloud feedbacks for LR <bold>(a–c)</bold>, NARRM <bold>(d–f)</bold>, and the difference between NARRM and LR <bold>(g–i)</bold>. The GPCI transect is denoted by the dashed black line. The average values over land and ocean are labeled in the brackets.</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f23.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS1.SSS4">
  <label>5.1.4</label><title>Extratropical cyclone</title>
      <p id="d1e4349">One of the primary motivations for pushing climate simulation resolution is to potentially better capture extremes.<?pagebreak page3971?> Extratropical cyclones (ETCs) are a major weather extreme phenomenon at middle and high latitudes, bringing with them strong winds and precipitation that can exert substantial societal impacts along their pathways over days and over hundreds to thousands of kilometers. Climate changes are likely to induce changes to the dynamical and physical characteristics of ETCs as well as their geospatial distribution (e.g., <xref ref-type="bibr" rid="bib1.bibx3 bib1.bibx110" id="altparen.115"/>).  Projections of such future changes rely heavily on numerical climate and ESM models. Their skills in simulating major weather systems like ETC have been carefully scrutinized by modeling centers and by the climate science community in conjunction with the major intercomparison campaigns <xref ref-type="bibr" rid="bib1.bibx38 bib1.bibx13" id="paren.116"/>. While the conventional climate models with grid resolution around 100 km show reasonable skill in producing ETC frequency and spatial track density, it has also been found that higher-resolution models are better capable of capturing more intense ETCs <xref ref-type="bibr" rid="bib1.bibx61" id="paren.117"><named-content content-type="pre">e.g.,</named-content></xref>, which is critical for using ESM to project future climates, as growing evidence shows that global warming tends to shift the weather spectrum to the more extreme end <xref ref-type="bibr" rid="bib1.bibx76" id="paren.118"/>. Here, we will demonstrate the benefits of higher resolution in simulating ETCs in a regionally refined setting by comparing the results from NARRM with those from LR simulations against the ETC activities derived from the ERA5 reanalysis.</p>
      <p id="d1e4366">The ETC tracks and statistics can be obtained using automated identification and tracking algorithms (e.g., <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx33 bib1.bibx3 bib1.bibx61 bib1.bibx113 bib1.bibx116" id="altparen.119"/>). The objective identification and tracking also make it suitable to compare ETC activities and statistics derived from different data sources in particular for model evaluations. The algorithms usually identify and track the spatial features of a meteorological variable, such as mean sea level pressure (MSLP) or 850 hPa vorticity, that can characterize the structure of cyclones and their movements. In this work, we use a community feature detection and tracking framework, TempestExtremes <xref ref-type="bibr" rid="bib1.bibx113 bib1.bibx116" id="paren.120"/>, to derive ETC activities from  6-hourly<?pagebreak page3972?> MSLP data during the period of 1985–2014 from the E3SM simulations and the ERA5 reanalysis. Considering higher-resolution data can more accurately identify the storms and their tracks <xref ref-type="bibr" rid="bib1.bibx5 bib1.bibx33" id="paren.121"/>, all the model and reanalysis data are placed on <inline-formula><mml:math id="M132" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mo>×</mml:mo><mml:mn mathvariant="normal">1</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grids to feed the tracking software. The algorithm takes two steps. First, a candidate cyclone is detected when a minimum MSLP feature is enclosed by a contour of 200 Pa interval within 6<inline-formula><mml:math id="M133" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of the center. Candidates within 6<inline-formula><mml:math id="M134" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> of one another are merged, with the lower center pressure taking precedence. The candidates are then stitched together to define the tracks if the features persist for at least 60 h with a maximum gap of at most 18 h. From the start to the end, a candidate cyclone must travel at least 12<inline-formula><mml:math id="M135" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> great circle distance to qualify as an ETC.</p>
      <p id="d1e4427">Over the NARRM high-resolution domain, ETCs are most active during winter. Figure <xref ref-type="fig" rid="Ch1.F24"/> shows the mean DJF track density for the models and the analysis derived by casting the computed ETC track data onto <inline-formula><mml:math id="M136" display="inline"><mml:mrow><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup><mml:mo>×</mml:mo><mml:mn mathvariant="normal">5</mml:mn><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> grids. The tracks are mostly concentrated over the northeastern Pacific and northwestern Atlantic that form the well-known storm tracks. Both LR and NARRM simulations capture these main features to a large extent. There are, however, notable differences between LR and NARRM over these oceanic storm tracks. The track densities are clearly underestimated in the LR simulations inside the refined region, except for the Atlantic storm track in the coupled mode. NARRM clearly produces higher ETC track density than LR does for both sections of the oceanic storm tracks and mostly agrees better with the ERA5 data, although in the coupled mode the track density tends to be overestimated. The shape and orientation of both the Pacific and Atlantic storm tracks are much better produced by NARRM in the coupled mode. Given the significant differences from both coupled LR (Fig. <xref ref-type="fig" rid="Ch1.F24"/>d) and uncoupled NARRM (Fig. <xref ref-type="fig" rid="Ch1.F24"/>c), it is reasonable to believe that the better captured storm track shapes in the coupled NARRM are due to interactions with the refined ocean (Fig. <xref ref-type="fig" rid="App1.Ch1.S1.F34"/>). Several secondary centers of active ETCs in the ERA5 over land are<?pagebreak page3973?> also reproduced by the models, including the active regions over the Great Lakes and Hudson Bay, although the densities are overestimated in the models (more so in the NARRM). It is worthwhile mentioning that the NARRM simulations are able to produce the chain of secondary centers to the east of the Rocky Mountains that are also present in the ERA5 reanalysis but are largely missing in the LR simulations. This is presumably due to the NARRM's better-resolved mountainous terrain features, a benefit by design.</p>
      <p id="d1e4458">The benefit of grid refinement can be further seen in Fig. <xref ref-type="fig" rid="Ch1.F25"/>, which shows the histograms of the ETC as a function of the minimum center pressure and the maximum deepening rate during its lifetime. All events within the refined region bounded by the dashed black lines as shown in Fig. <xref ref-type="fig" rid="Ch1.F24"/> are used to compute these statistics. The maximum deepening rate is defined as the maximum 6-hourly center pressure drop, normalized by <inline-formula><mml:math id="M137" display="inline"><mml:mrow><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub><mml:mo>)</mml:mo><mml:mo>/</mml:mo><mml:mi>sin⁡</mml:mi><mml:mo>(</mml:mo><mml:mi mathvariant="italic">φ</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:math></inline-formula>, with <inline-formula><mml:math id="M138" display="inline"><mml:mi mathvariant="italic">φ</mml:mi></mml:math></inline-formula> being the latitude and <inline-formula><mml:math id="M139" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">φ</mml:mi><mml:mi mathvariant="normal">ref</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> the reference latitude at 45<inline-formula><mml:math id="M140" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> <xref ref-type="bibr" rid="bib1.bibx61" id="paren.122"><named-content content-type="pre">see also in</named-content></xref>. Clearly the NARRM very closely reproduces the number of intense cyclones (minimum center MSLP <inline-formula><mml:math id="M141" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">960</mml:mn></mml:mrow></mml:math></inline-formula> hPa), while unsurprisingly the LR model underproduces. This is true in coupled and uncoupled modes. Both LR and NARRM simulations overestimate the number of weaker ETCs.  On a similar note, the observed number of rapid-growth cyclones is closely reproduced by the NARRM simulations but is clearly underestimated by a large margin in the LR simulations.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F24"><?xmltex \currentcnt{24}?><?xmltex \def\figurename{Figure}?><label>Figure 24</label><caption><p id="d1e4538">Mean extratropical cyclone track density in the DJF season between 1985 and 2014 from <bold>(a)</bold> ERA5, <bold>(b, c)</bold> AMIP, and <bold>(d, e)</bold> historical simulations of LR and NARRM. Dashed black lines denote the western and eastern boundary of the refined region.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f24.jpg"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F25"><?xmltex \currentcnt{25}?><?xmltex \def\figurename{Figure}?><label>Figure 25</label><caption><p id="d1e4558">Histogram of extratropical cyclone minimum center sea level pressure and maximum 6 h deepening rate in the DJF season between 1985 and 2014 <bold>(a, b)</bold> AMIP and <bold>(c, d)</bold> historical simulations. LR is shown in dotted, NARRM in dashed, and ERA5 in solid black lines.</p></caption>
            <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f25.png"/>

          </fig>

</sec>
</sec>
<sec id="Ch1.S5.SS2">
  <label>5.2</label><title>Land and river</title>
<sec id="Ch1.S5.SS2.SSS1">
  <label>5.2.1</label><title>Snowpack</title>
      <p id="d1e4589">Natural storage provided by mountain snowpack is central to water supply reliability in the western US <xref ref-type="bibr" rid="bib1.bibx100" id="paren.123"/>.
To evaluate model skill in representing this critical hydroclimate benchmark variable, intra-annual snowpack dynamics are evaluated using the methodology known as the snow water equivalent (SWE) triangle <xref ref-type="bibr" rid="bib1.bibx85 bib1.bibx86" id="paren.124"/>.
The seven metrics that make up the SWE triangle attempt to distill management-relevant aspects of the accumulation and ablation of snowpack (e.g., peak water volume and snowmelt rate) for any arbitrary gridded SWE dataset.
Five HUC2 basins of the mountainous western US are used to derive five-member ensemble and basin average evaluations of LR and NARRM fully coupled historical simulations and are compared with ERA5.
All datasets are bi-linearly regridded using the Earth System Modeling Framework (ESMF) to 0.25<inline-formula><mml:math id="M142" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution prior to masking and computing the basin-average SWE triangle metrics.</p>
      <p id="d1e4607">NARRM provides enhanced winter (DJF) climatological representation of the spatial variability of SWE across the CONUS relative to LR (Fig. <xref ref-type="fig" rid="Ch1.F26"/>a, b).
This is seen through higher SWE magnitudes and more granular spatial structures in NARRM compared with LR, particularly in coastal mountain ranges such as the Cascades and Sierra Nevada, and corroborates a long history of ESM studies that highlight the critical importance of horizontal resolution (<inline-formula><mml:math id="M143" display="inline"><mml:mo lspace="0mm">≤</mml:mo></mml:math></inline-formula> 0.25<inline-formula><mml:math id="M144" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>) in properly representing the mountainous hydrologic cycle <xref ref-type="bibr" rid="bib1.bibx17 bib1.bibx84 bib1.bibx63 bib1.bibx78 bib1.bibx2 bib1.bibx90" id="paren.125"/>.
As shown through the more granular intra-seasonal<?pagebreak page3974?> perspective of the SWE triangle metrics, certain aspects in the snowpack dynamics are improved with NARRM (e.g., peak water volume), namely in the Pacific Northwest and California (Fig. <xref ref-type="fig" rid="Ch1.F26"/>c).
With that said, some E3SM SWE biases are not ameliorated with horizontal resolution and may arise due to the combination of higher winter season precipitation (Fig. <xref ref-type="fig" rid="Ch1.F12"/>) and a general cool bias (Fig. <xref ref-type="fig" rid="Ch1.F9"/>) in both the LR and NARRM fully coupled historical simulations.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F26" specific-use="star"><?xmltex \currentcnt{26}?><?xmltex \def\figurename{Figure}?><label>Figure 26</label><caption><p id="d1e4640">Climatological DJF average snow water equivalent (SWE) as simulated by E3SMv2 with <bold>(a)</bold> LR and <bold>(b)</bold> NARRM over the 1985–2014 period.  <bold>(c)</bold> LR (blue) and NARRM (red) SWE triangle metrics for five HUC2 basins within the mountainous western US compared with ERA5 (gray).  Black bars at the end of each histogram represent the mean 95 % confidence intervals.</p></caption>
            <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f26.jpg"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS2.SSS2">
  <label>5.2.2</label><title>Runoff and evapotranspiration</title>
      <p id="d1e4666">NARRM better captures spatial variability in land hydrologic processes, as indicated by two most important land hydrologic variables, total runoff (Fig. <xref ref-type="fig" rid="Ch1.F27"/>) and evapotranspiration (ET) (Fig. <xref ref-type="fig" rid="Ch1.F28"/>). For instance, in the coastal Pacific regions, the Rocky Mountains block atmospheric moisture from ocean to inland areas and lead to two distinct hydrologic regimes: a wet regime in the western mountains and a dry regime in the eastern mountains. This abrupt spatial shift from a wet to dry hydrologic regime can be clearly seen in the composite runoff map from the Global Runoff Data Center (GRDC) <xref ref-type="bibr" rid="bib1.bibx30" id="paren.126"/>, Fig. <xref ref-type="fig" rid="Ch1.F27"/>a, and the observed evapotranspiration map from the Moderate Resolution Imaging Spectroradiometer (MODIS) satellite observations <xref ref-type="bibr" rid="bib1.bibx95" id="paren.127"/>, Fig. <xref ref-type="fig" rid="Ch1.F28"/>a. Note that the GRDC runoff map is not completely based on the observational data since runoff measurements are not available at the regional or global scales due to technical and economic limitations. It is nevertheless a more realistic estimate than any model simulations because it was<?pagebreak page3976?> first generated with a monthly hydrologic model (hence producing spatiotemporal variability) and then corrected for bias against discharge measurements at thousands of river gauges <xref ref-type="bibr" rid="bib1.bibx30" id="paren.128"/>. This abrupt shift of hydrologic regime around the Rocky Mountains, along with the other spatial variations, is much better resolved in the NARRM simulation than LR, which is the case for both simulated runoff and evapotranspiration, as shown in Figs. <xref ref-type="fig" rid="Ch1.F27"/>b, c and <xref ref-type="fig" rid="Ch1.F28"/>b, c. The NARRM simulated spatial patterns are thus more realistic than the LR ones over NA. Over the remaining regions of the globe, the NARRM and LR simulated spatial patterns are quite similar to each other in terms of both runoff and evapotranspiration (not shown).</p>
      <p id="d1e4691">The simulation biases in runoff and evapotranspiration are further examined in terms of absolute biases, i.e., the absolute difference between the simulated and “benchmark” values. Here the GRDC runoff and MODIS ET data are used as the benchmark data. Figures <xref ref-type="fig" rid="Ch1.F27"/>d and <xref ref-type="fig" rid="Ch1.F28"/>d show the maps of absolute bias difference, i.e., the difference between the absolute biases in the LR simulation and those in the NARRM simulation (former subtracting latter), for annual mean runoff and evapotranspiration, respectively. For a specific grid cell in these two maps, a positive difference means the absolute bias in the LR simulation is larger than that in the NARRM and vice versa. It appears that there are more absolute biases in LR than NARRM over both the western and eastern US. Using the longitude 100<inline-formula><mml:math id="M145" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> W as the divide, the average absolute bias differences (positive indicates NARRM has less overall absolute bias than LR) are 22.8 and 0.9 mm yr<inline-formula><mml:math id="M146" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the western and eastern US, respectively, for annual mean runoff, and are 21.6  and 18.5 mm yr<inline-formula><mml:math id="M147" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> over the western and eastern US, respectively, for annual mean evapotranspiration. When compared to LR, NARRM can thus help reduce simulation biases in hydrologic variables.</p>

      <?xmltex \floatpos{p}?><fig id="Ch1.F27" specific-use="star"><?xmltex \currentcnt{27}?><?xmltex \def\figurename{Figure}?><label>Figure 27</label><caption><p id="d1e4733">Annual mean runoff from <bold>(a)</bold> GRDC, <bold>(b)</bold> LR, and <bold>(c)</bold> NARRM simulations and <bold>(d)</bold> the differences in absolute biases between LR and NARRM (LR<inline-formula><mml:math id="M148" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>NARRM); a positive value suggests the absolute bias in the LR simulation is larger than that in the NARRM, while a negative value indicates the opposite.</p></caption>
            <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f27.png"/>

          </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F28" specific-use="star"><?xmltex \currentcnt{28}?><?xmltex \def\figurename{Figure}?><label>Figure 28</label><caption><p id="d1e4764">Annual mean evapotranspiration from <bold>(a)</bold> MODIS, <bold>(b)</bold> LR, and <bold>(c)</bold> NARRM simulations and <bold>(d)</bold> the differences in absolute biases between LR and NARRM (LR<inline-formula><mml:math id="M149" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>NARRM); a positive value suggests the absolute bias in the LR simulation is larger than that in the NARRM, while a negative value indicates the opposite.</p></caption>
            <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f28.png"/>

          </fig>

</sec>
<sec id="Ch1.S5.SS2.SSS3">
  <label>5.2.3</label><title>Streamflow</title>
      <p id="d1e4800">Streamflow simulations are typically affected by multiple sources of uncertainties, such as the biases in the simulated runoff, the uncertainties in the river model parameters (e.g., river network topology, channel geometry, Manning's roughness coefficients), and water demand data  <xref ref-type="bibr" rid="bib1.bibx69 bib1.bibx70 bib1.bibx71 bib1.bibx141" id="paren.129"/>. For river network topology, the 0.5<inline-formula><mml:math id="M150" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and 0.125<inline-formula><mml:math id="M151" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution river network data are used for the LR and NARRM simulations, respectively, as shown in Fig. <xref ref-type="fig" rid="Ch1.F29"/>a, b. It is expected that a higher-resolution river network data can represent rivers more smoothly and hence more realistically. Another benefit of higher resolution river network data is to enable more extensive streamflow validation. Terrestrial water fluxes, particularly surface runoff and streamflow, are dominated by gravity and controlled by topography and hence mostly follow irregular watershed boundaries. In most land surface and ESMs, including E3SM, regular lat–long grids are used to resolve spatial heterogeneity for both runoff and river processes to be compatible with the other land and atmospheric components <xref ref-type="bibr" rid="bib1.bibx66 bib1.bibx37" id="paren.130"/>. Both the magnitude and timing of streamflow at each river gauge are dominated by the corresponding upstream drainage area. Streamflow simulations are thus largely affected by the discrepancies between the watershed boundaries and regular lat–long grids. These discrepancies can be significantly reduced with higher-resolution river network data. For example, in this study a 10 % discrepancy threshold is used to select the river gauges for validating streamflow simulations; i.e., the relative difference between the real upstream drainage area of a river gauge and that estimated from a lat–long grid-based river network should not exceed 10 %. Over the NA domain, 615 river gauges satisfy the requirement for the 0.5<inline-formula><mml:math id="M152" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution river network, whilst 2924 river gauges satisfy the requirement for the 0.125<inline-formula><mml:math id="M153" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution river network. There are 563 river gauges that simultaneously satisfy the requirement for both resolutions.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F29" specific-use="star"><?xmltex \currentcnt{29}?><?xmltex \def\figurename{Figure}?><label>Figure 29</label><caption><p id="d1e4850">Simulated annual mean streamflow at 563 river gauges in NA compared against The Global Streamflow Indices and Metadata (GSIM) database. <bold>(a)</bold> River network used in LR, demonstrated by the mean annual discharge. <bold>(b)</bold> River network used in NARRM, demonstrated by the mean annual discharge. <bold>(c)</bold> Simulated annual mean streamflow against observed for LR and NARRM.</p></caption>
            <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f29.jpg"/>

          </fig>

      <?xmltex \floatpos{p}?><fig id="Ch1.F30" specific-use="star"><?xmltex \currentcnt{30}?><?xmltex \def\figurename{Figure}?><label>Figure 30</label><caption><p id="d1e4870">Simulated JJA <bold>(a, c, e)</bold> and DJF <bold>(b, d, f)</bold> mean streamflow at CONUS river gauges compared against The Global Streamflow Indices and Metadata (GSIM) database. <bold>(a, b)</bold> Relative bias of LR. <bold>(c, d)</bold> Relative bias of NARRM. <bold>(e)</bold> The difference in absolute relative bias between LR (absolute value of <bold>a</bold>) and NARRM (absolute value of <bold>c</bold>) for the JJA season; a positive value (purple) indicates LR has greater absolute bias than NARRM. <bold>(f)</bold> The same as <bold>(e)</bold> but for the DJF season</p></caption>
            <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f30.png"/>

          </fig>

      <p id="d1e4908">Figure <xref ref-type="fig" rid="Ch1.F29"/>c shows the comparison between the annual mean observed and simulated streamflow over these 563 river gauges. Overall, both simulations produce the long-term average streamflow reasonably well across these gauges. NARRM performs noticeably better (closer to the red <inline-formula><mml:math id="M154" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>:</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:math></inline-formula> line) for the top four gauges with the largest discharges. An additional analysis (figure not shown) indicates that LR produces greater absolute bias than NARRM in 330 out of 563 gauges (about 60 %) in the streamflow simulation. Interestingly, it appears that the overestimation and underestimation of JJA and DJF streamflow are concentrated in the western and eastern US, respectively, for both LR and NARRM, as shown in Fig. <xref ref-type="fig" rid="Ch1.F30"/>a–d. Figure <xref ref-type="fig" rid="Ch1.F30"/>e, f displays the difference in absolute biases between LR and NARRM (the former subtracted from the latter) at individual river gauges for the JJA and DJF seasons. Positive differences (indicating greater bias in LR than in NARRM, purple color) dominate over most gauges in the eastern US during JJA and over the CONUS during DJF. Taken together, Figs. <xref ref-type="fig" rid="Ch1.F29"/> and <xref ref-type="fig" rid="Ch1.F30"/> suggest an overall better performance of NARRM despite all the uncertainties.</p>
</sec>
</sec>
<?pagebreak page3977?><sec id="Ch1.S5.SS3">
  <label>5.3</label><title>Land–atmosphere coupling</title>
      <p id="d1e4943">Accurate representation of the interactive processes between the land surface, planetary boundary layer (PBL), and clouds and precipitation is an ongoing challenge for current state-of-art climate models. Here we assess the land–atmosphere (L-A) coupling in LR (H1-5), LR (A1-3), NARRM (H1-5), and NARRM (A1-3) using the 9-year warm-season observations at the Atmospheric Radiation Measurement (ARM) Southern Great Plains (SGP) site following <xref ref-type="bibr" rid="bib1.bibx106" id="text.131"/>. Before the detailed analysis of L-A coupling, we first examine the seasonal variations of daytime mean surface heat fluxes from May to August during 2004–2012. As shown in Fig. <xref ref-type="fig" rid="Ch1.F31"/>, the evaporative fraction (EF) is in general underestimated in model simulations except for LR (H1-5). The much lower simulated EF compared with the ARM observations is mainly attributed to a large negative bias in surface latent heat fluxes (LH). Different from the other simulations,<?pagebreak page3978?> the surface sensible heat flux (SH) is significantly underestimated in LR (H1-5) from May to early July. As a result, the simulated daytime mean EF is higher than that from the observations. Overall, the surface state and fluxes are better reproduced in the historical runs than in the AMIP runs, where both LR (A1-3) and NARRM (A1-3) show a significant negative bias in LH and EF persisting since July. This is surprising and requires further analyses, which is beyond the scope of this paper. In the following, we focus on two local convective regimes and diagnose model behaviors using the local coupling metrics <xref ref-type="bibr" rid="bib1.bibx99" id="paren.132"/>.</p>
      <p id="d1e4954">During the selected 9-year period, 165 and 154 clear-sky days are classified from LR (A1-3) and NARRM (A1-3), respectively (Table <xref ref-type="table" rid="App1.Ch1.S1.T6"/>). This is double the 66 clear-sky days identified from ARM observations. However, the occurrence frequency of shallow cumulus (ShCu) days is much lower in these AMIP runs compared with that observed. For ShCu, only 6 and 5 d are identified in LR (A1-5) and NARRM (A1-5), respectively (not shown). For the historical runs, the number of selected clear-sky days from both LR (H1-5) and NARRM (H1-5) are comparable to that observed, but the occurrence frequency of ShCu days is still low. As we are targeting a statistical and climatological comparison between the long-term ARM data and climate model simulations, we extend the analysis period to 1980–2012 for model simulations on ShCu days due to the limited sample size between 2004 and 2012.</p>
      <p id="d1e4959">Figure <xref ref-type="fig" rid="Ch1.F32"/> shows the composite clear-sky day mixing diagrams <xref ref-type="bibr" rid="bib1.bibx98" id="paren.133"/>, which relates the conservative variables, potential temperature (<inline-formula><mml:math id="M155" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>), and total water-specific humidity (<inline-formula><mml:math id="M156" display="inline"><mml:mi>q</mml:mi></mml:math></inline-formula>) to the water and energy budgets and the growth of planetary boundary layer (PBL). The coevolution of Lvq and Cp<inline-formula><mml:math id="M157" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula> (07:30 to 17:30 LST) is decomposed by vector components that represent the integrated fluxes of heat and moisture from the land surface (<inline-formula><mml:math id="M158" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), the advection (<inline-formula><mml:math id="M159" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">adv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and the entrainment at the PBL top (<inline-formula><mml:math id="M160" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> as a residual). Six metrics are derived from these diagrams and summarized in Table <xref ref-type="table" rid="Ch1.T5"/>. In general, although the differences among various model simulations are minor, several common model biases are noted when compared with the ARM observations. For example, the model-simulated clear-sky days are featured with too warm and too dry conditions in the early morning (07:30 LST). The <inline-formula><mml:math id="M161" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> in the two AMIP runs and historical runs, for both LR and NARRM, is about 3 and 2 times that which was observed, respectively. The high <inline-formula><mml:math id="M162" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">θ</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> indicates that more energy at the surface goes to heating rather than moistening. Moreover, the <inline-formula><mml:math id="M163" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> is significantly overestimated in the model simulations, which is about 5 (3) times that observed in the two AMIP runs (historical runs). The much higher simulated <inline-formula><mml:math id="M164" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> suggests that the entrainment heating and drying dominates the surface fluxes on the simulated clear-sky days, which supports rapid and deep PBL growth in models. Different from the observations, the simulated advection tends to cool and dry the mixed layer, but the overall impact is much smaller compared to those from the surface and entrainment.</p>
      <p id="d1e5069">Figure <xref ref-type="fig" rid="Ch1.F33"/> shows the daytime evolution composites of PBL, lifting condensation level (LCL), and LCL deficit (PBL top height minus LCL) on clear-sky and ShCu days. Both PBL and LCL on model-simulated clear-sky days are much higher than on the ARM-observed clear-sky days. The model behaviors are in general consistent among different simulations, except that the bias of LCL is significantly lower in LR (H1-5) compared with the others. In models, the PBL grows rapidly after sunrise on clear-sky days, corresponding to the large warm and dry air entrainments that dominate the PBL budget (Fig. <xref ref-type="fig" rid="Ch1.F32"/>). But the too warm and too dry early morning surface conditions lead to an even higher LCL on model-simulated clear-sky days. The PBL never reaches the LCL, with a negative LCL deficit throughout the day, which supports clear skies. The diurnal evolution of LCL on the ARM-observed ShCu days is similar to that on clear-sky days, but<?pagebreak page3981?> the development of the PBL is much more vigorous. As a result, the PBL is deep enough to touch the LCL for cloud formation around noon. Different from the observed results, the daytime evolution of PBL is much weaker on ShCu days than on clear-sky days in all model simulations. However, the decrease in LCL from clear-sky days to ShCu days is even greater, where the growth of PBL is high enough to touch the LCL for cloud formation. Note that the models simulate a positive LCL deficit at around 09:00 LST, a few hours earlier than that in the observations. To summarize, ShCu forms as a result of strong surface SH fluxes that drives the rapid development of PBL in observations, while in models ShCu results from a relatively more humid lower troposphere that leads to a lowered LCL. Differences among various model simulations are pretty minor.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F31"><?xmltex \currentcnt{31}?><?xmltex \def\figurename{Figure}?><label>Figure 31</label><caption><p id="d1e5079">The seasonal variation of 2004–2012 daytime mean (06:00–18:00 LST): <bold>(a)</bold> surface sensible heat flux (SH), <bold>(b)</bold> surface latent heat flux (LH), and <bold>(c)</bold> surface evaporative fraction (EF, defined as [LH/(LH<inline-formula><mml:math id="M165" display="inline"><mml:mo>+</mml:mo></mml:math></inline-formula>SH)]) from ARM observations (black), LR (A1-3) (green), LR (H1-5) (blue), NARRM (A1-3) (orange), and NARRM (H1-5). A moving average of 30 d is applied to smooth out short-term fluctuations and highlight longer-term trends.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f31.png"/>

        </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F32"><?xmltex \currentcnt{32}?><?xmltex \def\figurename{Figure}?><label>Figure 32</label><caption><p id="d1e5106">Clear-sky-day mixing diagram of the PBL conservative variables, Lvq vs. Cp<inline-formula><mml:math id="M166" display="inline"><mml:mi mathvariant="italic">θ</mml:mi></mml:math></inline-formula>, during the daytime evolution from ARM observations (black), LR (A1-3) (green), LR (H1-5) (blue), NARRM (A1-3) (orange), and NARRM (H1-5) (red). Dots denote the composite hourly means from 07:30 to 17:30 LT. The text annotations depict the vector component contributions from surface (<inline-formula><mml:math id="M167" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), advection (<inline-formula><mml:math id="M168" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">adv</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and entrainment fluxes (<inline-formula><mml:math id="M169" display="inline"><mml:mrow><mml:msub><mml:mi>V</mml:mi><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) to the evolution.</p></caption>
          <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f32.png"/>

        </fig>

<?xmltex \floatpos{p}?><table-wrap id="Ch1.T5" specific-use="star"><?xmltex \currentcnt{5}?><label>Table 5</label><caption><p id="d1e5158">The surface (<inline-formula><mml:math id="M170" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and entrainment (<inline-formula><mml:math id="M171" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) Bowen ratios, the entrainment ratio of heat (<inline-formula><mml:math id="M172" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">SH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and moisture (<inline-formula><mml:math id="M173" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>), and the advective flux ratio of heat (<inline-formula><mml:math id="M174" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">SH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) and moisture (<inline-formula><mml:math id="M175" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula>) from the ARM observations, LR (A1-3), LR (H1-5), NARRM (A1-3), and NARRM (H1-5) on clear-sky days. The flux values (W m<inline-formula><mml:math id="M176" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">2</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>) are derived using the mixing diagram theory and surface, advection, and entrainment flux vectors depicted in Fig. <xref ref-type="fig" rid="Ch1.F32"/>.</p></caption><oasis:table frame="topbot"><oasis:tgroup cols="6">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="right"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Metrics</oasis:entry>
         <oasis:entry colname="col2">Obs.</oasis:entry>
         <oasis:entry colname="col3">LR (A1-3)</oasis:entry>
         <oasis:entry colname="col4">LR (H1-5)</oasis:entry>
         <oasis:entry colname="col5">NARRM (A1-3)</oasis:entry>
         <oasis:entry colname="col6">NARRM (H1-5)</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M177" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:mrow></mml:math></inline-formula> = SH<inline-formula><mml:math id="M178" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>LH<inline-formula><mml:math id="M179" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">0.70</oasis:entry>
         <oasis:entry colname="col3">2.28</oasis:entry>
         <oasis:entry colname="col4">1.20</oasis:entry>
         <oasis:entry colname="col5">2.09</oasis:entry>
         <oasis:entry colname="col6">1.65</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M180" display="inline"><mml:mrow><mml:msub><mml:mi mathvariant="italic">β</mml:mi><mml:mi mathvariant="normal">ent</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> SH<inline-formula><mml:math id="M181" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>LH<inline-formula><mml:math id="M182" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M183" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.13</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M184" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.68</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M185" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.60</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M186" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.54</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M187" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.61</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M188" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">SH</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> SH<inline-formula><mml:math id="M189" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>SH<inline-formula><mml:math id="M190" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2">1.79</oasis:entry>
         <oasis:entry colname="col3">1.57</oasis:entry>
         <oasis:entry colname="col4">1.72</oasis:entry>
         <oasis:entry colname="col5">1.35</oasis:entry>
         <oasis:entry colname="col6">1.37</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M191" display="inline"><mml:mrow><mml:msub><mml:mi>E</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> LH<inline-formula><mml:math id="M192" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>LH<inline-formula><mml:math id="M193" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub></mml:math></inline-formula></oasis:entry>
         <oasis:entry colname="col2"><inline-formula><mml:math id="M194" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.11</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M195" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.31</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M196" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.44</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M197" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>5.24</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M198" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>3.72</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M199" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">SH</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> SH<inline-formula><mml:math id="M200" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">adv</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>(SH<inline-formula><mml:math id="M201" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>SH<inline-formula><mml:math id="M202" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">0.04</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M203" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.18</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M204" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.12</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M205" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.09</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M206" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.07</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"><inline-formula><mml:math id="M207" display="inline"><mml:mrow><mml:msub><mml:mi>A</mml:mi><mml:mi mathvariant="normal">LH</mml:mi></mml:msub><mml:mo>=</mml:mo></mml:mrow></mml:math></inline-formula> LH<inline-formula><mml:math id="M208" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">adv</mml:mi></mml:msub><mml:mo>/</mml:mo></mml:mrow></mml:math></inline-formula>(LH<inline-formula><mml:math id="M209" display="inline"><mml:mrow><mml:msub><mml:mi/><mml:mi mathvariant="normal">sfc</mml:mi></mml:msub><mml:mo>+</mml:mo></mml:mrow></mml:math></inline-formula>LH<inline-formula><mml:math id="M210" display="inline"><mml:msub><mml:mi/><mml:mi mathvariant="normal">ent</mml:mi></mml:msub></mml:math></inline-formula>)</oasis:entry>
         <oasis:entry colname="col2">3.97</oasis:entry>
         <oasis:entry colname="col3"><inline-formula><mml:math id="M211" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.21</oasis:entry>
         <oasis:entry colname="col4"><inline-formula><mml:math id="M212" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.25</oasis:entry>
         <oasis:entry colname="col5"><inline-formula><mml:math id="M213" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>
         <oasis:entry colname="col6"><inline-formula><mml:math id="M214" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.22</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{5}?></table-wrap>

      <?xmltex \floatpos{t}?><fig id="Ch1.F33" specific-use="star"><?xmltex \currentcnt{33}?><?xmltex \def\figurename{Figure}?><label>Figure 33</label><caption><p id="d1e5747">Composite daytime evolution of <bold>(a)</bold> PBL, <bold>(b)</bold> LCL, and <bold>(c)</bold> LCL deficit (PBL minus LCL) from ARM observations (black), LR (A1-3) (green), LR (H1-5) (blue), NARRM (A1-3) (orange), and NARRM (H1-5) (red) on clear-sky days. Panels <bold>(d)</bold>–<bold>(f)</bold> are the same as panels <bold>(a)</bold>–<bold>(c)</bold> but on shallow cumulus days.</p></caption>
          <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f33.png"/>

        </fig>

</sec>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions and discussion</title>
      <p id="d1e5787">A primary Earth system model (ESM) advancement is to represent the spatially continuous world more realistically on discretized grids, which often requires constantly increasing the finest scale of explicitly resolved processes within the computational limit.  Before uniformly high-resolution global models solve their severe computational challenge for climate simulation campaigns, the multiresolution ESM (e.g., regionally refined model (RRM)) is a natural alternative for these campaigns.  Nevertheless, it has been over a decade since such a multiresolution method <xref ref-type="bibr" rid="bib1.bibx94" id="paren.134"><named-content content-type="pre">e.g.,</named-content></xref> was proposed.</p>
      <p id="d1e5795">To our knowledge, this is the first study with a global ESM that has accomplished the CMIP6 climate simulation campaign with a fully coupled RRM configuration – a potentially significant step in the long journey of improving the explicitly resolved resolution of climate simulations.  The key to this success is the application of the hybrid time step strategy (i.e., merging the high-resolution dynamics time step with the low-resolution physics time step) in the atmosphere model, which mitigates the negative impacts caused by the persistent poor scale-aware problem of atmospheric physics in a multi-scale framework (e.g., RRM).  The powerful aspect of RRM is that it typically only costs <inline-formula><mml:math id="M215" display="inline"><mml:mo>∼</mml:mo></mml:math></inline-formula> 10 %–20 % of the globally uniform high-resolution model, substantially reducing the computational burden of production simulations.  This is particularly important for high-resolution ensemble simulations, which are necessary to account for the internal variability of the climate system, but whose cost would otherwise be prohibitive.  On the global scale, we show that NARRM reproduces the LR climate well.  Within the high-resolution domain (i.e., North America), NARRM displays more improvements than deteriorations relative to LR.  Furthermore, some of the NARRM improvements (e.g., marine shallow cumulus clouds over California and mixed-phase clouds near the Arctic) are attributable to the better-captured coupling processes, highlighting the strength of refining multiple components over a single component.  The main detailed findings are as follows.
<list list-type="bullet"><list-item>
      <p id="d1e5807">The new dry baroclinic idealized test <xref ref-type="bibr" rid="bib1.bibx58" id="paren.135"/> allows us to test the NARRM grid with the stand-alone atmospheric dynamical core and confirms that the NARRM mesh is numerically stable and that the results are reasonable compared to the LR and HR grids (Fig. <xref ref-type="fig" rid="Ch1.F4"/>).</p></list-item><list-item>
      <p id="d1e5816">By employing the EAM hybrid time step method, NARRM successfully matches the global climate (including climatology, time series, and climate sensitivity and feedback) simulated by LR (Figs. <xref ref-type="fig" rid="Ch1.F7"/>, <xref ref-type="fig" rid="Ch1.F9"/>, <xref ref-type="fig" rid="Ch1.F10"/>, <xref ref-type="fig" rid="Ch1.F22"/>) without retuning physics parameters.</p></list-item><list-item>
      <p id="d1e5828">Within the high-resolution region over the CONUS, precipitation and clouds are largely improved in NARRM compared to LR (Figs. <xref ref-type="fig" rid="Ch1.F11"/>a, c, <xref ref-type="fig" rid="Ch1.F12"/>, <xref ref-type="fig" rid="Ch1.F13"/>) due to the better topography in NARRM (Fig. <xref ref-type="fig" rid="Ch1.F8"/>) and/or reduced sea surface temperature biases.</p></list-item><list-item>
      <p id="d1e5840">Refining the atmospheric grid spacing from 100  to 25 km is not adequate to improve the diurnal propagation of organized MCSs over the CONUS (Fig. <xref ref-type="fig" rid="Ch1.F15"/>).</p></list-item><list-item>
      <p id="d1e5846">NARRM retains the LR performance of aerosol simulations on a global scale and regional mean basis without retuning of the scale-dependent aerosol emissions. Over the refined mesh, NARRM improves the simulated aerosol spatial variability and predictions of extreme polluted cases (e.g., the upper tail of AOD distribution) (Fig. <xref ref-type="fig" rid="Ch1.F18"/>). On the other hand, the refined grid resolution does not eliminate the high biases in aerosol loadings and effective radiative forcing inherited from the LR model.</p></list-item><list-item>
      <p id="d1e5852">NARRM generally simulates better cloud cover than LR for both liquid and ice phase clouds. Over land (e.g., western NA and Greenland), this improvement is likely related to topography, whereas over ocean it is attributed to air–sea interactions.</p></list-item><list-item>
      <p id="d1e5856">NARRM produces a comparable global mean cloud feedback to LR but a less positive cloud feedback over the NA (Fig. <xref ref-type="fig" rid="Ch1.F22"/>). The reduction in cloud feedback there mainly relates to the shortwave component. The total cloud feedback over coastal California does not change much due to the compensation between the shortwave and longwave components (Fig. <xref ref-type="fig" rid="Ch1.F23"/>).</p></list-item><list-item>
      <?pagebreak page3983?><p id="d1e5864">While both the LR and NARRM simulations are to a large extent able to capture the spatial and statistical distributions of the observed extratropical cyclone (ETC) activities, NARRM shows a particularly improved skill when simulating the ETC activities along the oceanic storm tracks and over the mountain range to the east of the Rocky Mountains (Fig. <xref ref-type="fig" rid="Ch1.F24"/>). NARRM in coupled mode outperforms all other configurations (LR and uncoupled NARRM) when simulating the shape and orientation of the oceanic storm tracks within the NARRM high-resolution domain due to the coupling with the refined ocean surrounding North America. NARRM in general produces more ETCs than LR and overestimates the total number of cyclones compared to the ERA5 reanalysis. More importantly, for intense or rapidly developing cyclones, the NARRM simulations are in close agreement with the observations, whereas the LR simulations are mismatched by a significant margin (Fig. <xref ref-type="fig" rid="Ch1.F25"/>).</p></list-item><list-item>
      <p id="d1e5872">NARRM appears to better represent the spatial variability in land hydrologic processes by resolving the land features more realistically over the western US (Figs. <xref ref-type="fig" rid="Ch1.F27"/>, <xref ref-type="fig" rid="Ch1.F28"/>). With higher grid resolution, NARRM can better capture surface topography that dominates surface water flows across hillslopes and through rivers, and hence not only improves the river model performance but also provides more precise river gauge geo-referencing information for streamflow validations (Figs. <xref ref-type="fig" rid="Ch1.F29"/>, <xref ref-type="fig" rid="Ch1.F30"/>).</p></list-item><list-item>
      <p id="d1e5884">NARRM provides enhanced winter (DJF) climatological representation of the spatial variability of snow water equivalent (SWE) across the CONUS relative to LR (Fig. <xref ref-type="fig" rid="Ch1.F26"/>ab) as a result of higher SWE magnitudes and more granular spatial structures in NARRM.  Certain biases (e.g., peak water volume) in snowpack are reduced in NARRM compared with LR (Fig. <xref ref-type="fig" rid="Ch1.F26"/>c).</p></list-item><list-item>
      <p id="d1e5892">Over the ARM SGP site during warm seasons, the surface conditions are warm and dry on the model-simulated clear-sky days, with overestimation in both the PBL height and the LCL (Figs. <xref ref-type="fig" rid="Ch1.F32"/>, <xref ref-type="fig" rid="Ch1.F33"/>), while the ShCu days in models result from a much moister environment compared with that in the observations (Fig. <xref ref-type="fig" rid="Ch1.F33"/>). In general, the surface properties and fluxes are better reproduced in the historical runs than in the AMIP runs (Fig. <xref ref-type="fig" rid="Ch1.F31"/>), showing only limited impact due to resolution.</p></list-item></list></p>
      <?pagebreak page3984?><p id="d1e5903">Besides the NARRM configuration illustrated in the present study, E3SMv2 has been successfully run with RRM meshes with finer grids located in other regions (Antarctic, Arctic, and southeastern Pacific).  We expect that the hybrid time step strategy is a general approach that can be applied to these RRMs to simulate high-resolution climate in different areas.  With that in mind, we streamlined the process of creating new RRM configurations to facilitate broader RRM applications in the next phase of the E3SM project.  Depending on the goal of RRM simulations, further improvements over the refined domain can be achieved via additional parameter tuning.  In that case, nudging the outside coarser domain may be necessary to avoid severe degradations of the climate there.  Such nudging capability is available in E3SM <xref ref-type="bibr" rid="bib1.bibx104" id="paren.136"><named-content content-type="pre">e.g.,</named-content></xref>, and one has the option to nudge towards the data from the reanalysis product or low-resolution E3SM simulation.  Lastly, we highlight that this paper serves as an overview of the NARRM atmosphere, land, and river models.  More in-depth analysis is planned to be reported in follow-up papers.</p><?xmltex \hack{\newpage}?>
</sec>

      
      </body>
    <back><app-group>

<app id="App1.Ch1.S1">
  <?xmltex \currentcnt{A}?><label>Appendix A</label><title/>

      <?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F34"><?xmltex \currentcnt{A1}?><?xmltex \def\figurename{Figure}?><label>Figure A1</label><caption><p id="d1e5924">North American RRM (NARRM) grids for ocean and sea ice.</p></caption>
        <?xmltex \igopts{width=241.848425pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f34.jpg"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F35"><?xmltex \currentcnt{A2}?><?xmltex \def\figurename{Figure}?><label>Figure A2</label><caption><p id="d1e5936">The same as Fig. <xref ref-type="fig" rid="Ch1.F11"/> but for the global spatial RMSE of model climatology from the EAMv1 LR (blue triangles) and the EAMv1 RRM (red triangles) with high-resolution grids over the CONUS and both physics parameters and time steps tuned for high resolution. The details of these two EAMv1 simulations are documented in <xref ref-type="bibr" rid="bib1.bibx104" id="text.137"/>.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f35.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><fig id="App1.Ch1.S1.F36"><?xmltex \currentcnt{A3}?><?xmltex \def\figurename{Figure}?><label>Figure A3</label><caption><p id="d1e5956">Comparison of global annual mean precipitation geographic patterns from <bold>(a)</bold> GPCP2.3, <bold>(b)</bold> LR, and <bold>(c)</bold> NARRM historical ensemble means.</p></caption>
        <?xmltex \hack{\hsize\textwidth}?>
        <?xmltex \igopts{width=355.659449pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f36.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F37" specific-use="star"><?xmltex \currentcnt{A4}?><?xmltex \def\figurename{Figure}?><label>Figure A4</label><caption><p id="d1e5978">Cloud fractions over North America simulated by the nudged LR <bold>(a, b, c)</bold> and NARRM <bold>(c, d, e)</bold> for low clouds (CLDLOW; <bold>a</bold>, <bold>d</bold>), middle clouds (CLDMED; <bold>b</bold>, <bold>e</bold>), and high clouds (CLDHGH; <bold>c</bold>, <bold>f</bold>).</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f37.jpg"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="App1.Ch1.S1.F38" specific-use="star"><?xmltex \currentcnt{A5}?><?xmltex \def\figurename{Figure}?><label>Figure A5</label><caption><p id="d1e6014">Present-day (PD) minus pre-industrial (PI) changes in cloud droplet number concentration <bold>(a, d)</bold>, liquid water path (LWP), and ice water path (IWP) in North America calculated from the nudged LR <bold>(a, b, c)</bold> and NARRM <bold>(d, e, f)</bold> simulations.</p></caption>
        <?xmltex \igopts{width=441.017717pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3953/2023/gmd-16-3953-2023-f38.png"/>

      </fig>

<?xmltex \hack{\clearpage}?><?xmltex \floatpos{h!}?><table-wrap id="App1.Ch1.S1.T6"><?xmltex \hack{\hsize\textwidth}?><?xmltex \currentcnt{A1}?><label>Table A1</label><caption><p id="d1e6037">Definition criteria and sample size of the clear-sky regime (Clear) and shallow cumulus regime (ShCu) based on the ARM observations and four different model simulations.</p></caption><oasis:table frame="topbot"><?xmltex \begin{scaleboxenv}{.94}[.94]?><oasis:tgroup cols="7">
     <oasis:colspec colnum="1" colname="col1" align="left"/>
     <oasis:colspec colnum="2" colname="col2" align="justify" colwidth="9.5cm"/>
     <oasis:colspec colnum="3" colname="col3" align="right"/>
     <oasis:colspec colnum="4" colname="col4" align="right"/>
     <oasis:colspec colnum="5" colname="col5" align="right"/>
     <oasis:colspec colnum="6" colname="col6" align="right"/>
     <oasis:colspec colnum="7" colname="col7" align="right"/>
     <oasis:thead>
       <oasis:row>

         <oasis:entry colname="col1">Regime</oasis:entry>

         <oasis:entry colname="col2">Definition</oasis:entry>

         <oasis:entry colname="col3">Obs.</oasis:entry>

         <oasis:entry colname="col4">LR</oasis:entry>

         <oasis:entry colname="col5">LR</oasis:entry>

         <oasis:entry colname="col6">NARRM</oasis:entry>

         <oasis:entry colname="col7">NARRM</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">criteria</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4">(A1-3)</oasis:entry>

         <oasis:entry colname="col5">(H1-5)</oasis:entry>

         <oasis:entry colname="col6">(A1-3)</oasis:entry>

         <oasis:entry colname="col7">(H1-5)</oasis:entry>

       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row>

         <oasis:entry colname="col1" morerows="2">Clear</oasis:entry>

         <oasis:entry colname="col2">Obs: analysis period (2004–2012)</oasis:entry>

         <oasis:entry rowsep="1" colname="col3" morerows="2">66</oasis:entry>

         <oasis:entry rowsep="1" colname="col4" morerows="2">165</oasis:entry>

         <oasis:entry rowsep="1" colname="col5" morerows="2">86</oasis:entry>

         <oasis:entry rowsep="1" colname="col6" morerows="2">154</oasis:entry>

         <oasis:entry rowsep="1" colname="col7" morerows="2">66</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">– Precipitation rate <inline-formula><mml:math id="M216" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> mm h<inline-formula><mml:math id="M217" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at all 24 h points</oasis:entry>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col2">– Between 08:00 and 16:00 LST, total cloud fraction <inline-formula><mml:math id="M218" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 15 %, low-level and mid-level cloud fraction <inline-formula><mml:math id="M219" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 5<inline-formula><mml:math id="M220" display="inline"><mml:mrow><mml:mspace linebreak="nobreak" width="0.125em"/><mml:mi mathvariant="italic">%</mml:mi></mml:mrow></mml:math></inline-formula>, and high-level cloud fraction <inline-formula><mml:math id="M221" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 10 %</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Model: analysis period (2004–2012)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Precipitation rate <inline-formula><mml:math id="M222" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.1</mml:mn></mml:mrow></mml:math></inline-formula> mm h<inline-formula><mml:math id="M223" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at all 24 h points</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row rowsep="1">

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Between 08:00 and 16:00 LST, total cloud fraction <inline-formula><mml:math id="M224" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 15 %, low-level and mid-level cloud fraction <inline-formula><mml:math id="M225" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 5 %, and high-level cloud fraction <inline-formula><mml:math id="M226" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 10 %</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1" morerows="2">ShCu</oasis:entry>

         <oasis:entry colname="col2">Obs: analysis period (2004–2012)</oasis:entry>

         <oasis:entry colname="col3" morerows="2">48</oasis:entry>

         <oasis:entry colname="col4" morerows="2">34</oasis:entry>

         <oasis:entry colname="col5" morerows="2">66</oasis:entry>

         <oasis:entry colname="col6" morerows="2">23</oasis:entry>

         <oasis:entry colname="col7" morerows="2">48</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">– Precipitation rate <inline-formula><mml:math id="M227" display="inline"><mml:mrow><mml:mo>=</mml:mo><mml:mn mathvariant="normal">0</mml:mn></mml:mrow></mml:math></inline-formula> mm h<inline-formula><mml:math id="M228" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at all 24 h points</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col2">– Cloud tops <inline-formula><mml:math id="M229" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula> km and cloud bases gradually rise with time over the day</oasis:entry>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Above 4 km, there is usually no cloud or cloud fraction <inline-formula><mml:math id="M230" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %, except on a few days when there is some high cirrus above 10 km</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry rowsep="1" colname="col2">– Satellite images of ShCu days identified based on Active Remote Sensing of Clouds data and the Total Sky Imager are examined manually to ensure that the cloud field develops homogeneously and is not affected by other large-scale weather phenomena</oasis:entry>

         <oasis:entry rowsep="1" colname="col3"/>

         <oasis:entry rowsep="1" colname="col4"/>

         <oasis:entry rowsep="1" colname="col5"/>

         <oasis:entry rowsep="1" colname="col6"/>

         <oasis:entry rowsep="1" colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">Model: analysis period (1980–2012)</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Precipitation rate <inline-formula><mml:math id="M231" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">0.25</mml:mn></mml:mrow></mml:math></inline-formula> mm h<inline-formula><mml:math id="M232" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">1</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula> at all 24 h points</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Diurnal maximum hourly low-level cloud fraction between 5 % and 70 % and between 10:00 and 18:00 LST</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Between 00:00 and 06:00 LST, low-level cloud fraction is <inline-formula><mml:math id="M233" display="inline"><mml:mrow><mml:mo>&lt;</mml:mo><mml:mn mathvariant="normal">5</mml:mn></mml:mrow></mml:math></inline-formula> %</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
       <oasis:row>

         <oasis:entry colname="col1"/>

         <oasis:entry colname="col2">– Diurnal maximum hourly mid-level cloud fraction <inline-formula><mml:math id="M234" display="inline"><mml:mo>≤</mml:mo></mml:math></inline-formula> 10 % and is lower than that of low-level cloud fraction at all 24 h points</oasis:entry>

         <oasis:entry colname="col3"/>

         <oasis:entry colname="col4"/>

         <oasis:entry colname="col5"/>

         <oasis:entry colname="col6"/>

         <oasis:entry colname="col7"/>

       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup><?xmltex \end{scaleboxenv}?></oasis:table><?xmltex \gdef\@currentlabel{A1}?></table-wrap>

</app>
  </app-group><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e6560">The E3SM code used in this work is available at <ext-link xlink:href="https://doi.org/10.5281/zenodo.7343230" ext-link-type="DOI">10.5281/zenodo.7343230</ext-link> <xref ref-type="bibr" rid="bib1.bibx22" id="paren.138"/> and on GitHub at  <uri>https://github.com/E3SM-Project/E3SM</uri> (last access: 3 July 2023), including a maintenance branch (<monospace>maint-2.0</monospace>;  <uri>https://github.com/E3SM-Project/E3SM/tree/maint-2.0</uri>, last access: 3 July 2023) that has been
created to reproduce these simulations.</p>

      <p id="d1e6578">The complete native model output and the nudging simulations' climatology data are accessible directly at the National Energy Research Scientific Computing Center (NERSC)  (<uri>https://portal.nersc.gov/archive/home/projects/e3sm/www/WaterCycle/E3SMv2/LR</uri>, <xref ref-type="bibr" rid="bib1.bibx23" id="altparen.139"/>  and <uri>https://portal.nersc.gov/archive/home/projects/e3sm/www/WaterCycle/E3SMv2/NARRM</uri>, <xref ref-type="bibr" rid="bib1.bibx24" id="altparen.140"/>) for low-resolution and NARRM simulations, which are documented at <uri>https://e3sm-project.github.io/e3sm_data_docs</uri> <xref ref-type="bibr" rid="bib1.bibx25" id="paren.141"/>. A subset of the native output is also available through the DOE Earth System Grid Federation (ESGF) at <uri>https://esgf-node.llnl.gov/search/e3sm/?model_version=2_0</uri> <xref ref-type="bibr" rid="bib1.bibx26" id="paren.142"/>. Data reformatted following CMIP conventions will also be available through ESGF at <uri>https://esgf-node.llnl.gov/projects/e3sm</uri> <xref ref-type="bibr" rid="bib1.bibx27" id="paren.143"/>.</p>

      <p id="d1e6612">Performance data and scripts are located at <uri>https://github.com/E3SM-Project/perf-data/tree/archive/v2-narrm-perf-study/v2-narrm</uri> (last access: 4 July 2023, <ext-link xlink:href="https://doi.org/10.5281/zenodo.8114977" ext-link-type="DOI">10.5281/zenodo.8114977</ext-link>, <xref ref-type="bibr" rid="bib1.bibx7" id="altparen.144"/>).</p>
  </notes><?xmltex \hack{\newpage}?><?xmltex \hack{~\\[113mm]}?><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e6629">As part of the E3SM water cycle group co-led by JCG and LPVR, QT led the regionally refined model (RRM) development team with significant contributions from JCG, MAT, WL, BRH, PAU, and AMB and help from OG, JDW, CZ, CSZ, ELR, AFR, MEM, RLJ, AVDV, PMC, and GB. The RRM configuration leverages the low-resolution model development effort from TZ, KZ, and XZ. QT and JCG designed the paper scope.  QT, JCG, MAT, AMB, KZ, BS, and RMF carried out the model simulations with assistance from AM, NDK, and RLJ.  QT led the analysis and the manuscript writing with significant contributions from JCG, MAT, WL, AMB, TZ, KZ, YZ, MZ, MW, HW, CT, AMR, YQ, HYL, and YF. All co-authors contributed to the manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e6635">At least one of the (co-)authors is a guest member of the editorial board of <italic>Geoscientific Model Development</italic>. The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e6644">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><notes notes-type="financialsupport"><title>Financial support</title>

      <?pagebreak page3989?><p id="d1e6651">This research was supported as part of the Energy Exascale Earth System Model (E3SM) project, funded by the US Department of Energy (DOE), Office of Science, Office of Biological and Environmental Research (BER).
E3SM production simulations were performed on a high-performance computing cluster provided by the BER Earth System Modeling program and operated by the Laboratory Computing Resource Center at Argonne National Laboratory, and the National Energy Research Scientific Computing Center (NERSC), a DOE Office of Science User Facility supported by the Office of Science of the US Department of Energy under contract no. DE-AC02-05CH11231.
Developmental simulations were performed using BER Earth System Modeling program's Compy computing cluster located at the Pacific Northwest National Laboratory and the NERSC machine cori-knl.
Additional developmental simulations and post-processing and data archiving of production simulations used the resources of NERSC.</p>

      <p id="d1e6654">Lawrence Livermore National Laboratory (LLNL) is operated by Lawrence Livermore National Security, LLC, for the US DOE, National Nuclear Security Administration under contract no. DE-AC52-07NA27344.  Support was received from the LLNL LDRD project 22-ERD-008, “Multiscale Wildfire Simulation Framework and Remote Sensing”, the DOE Atmospheric Radiation Measurement (ARM), and the DOE Atmospheric System Research (ASR) program. Data from the US DOE were used as part of the ARM Climate Research Facility Southern Great Plains site.
Pacific Northwest National Laboratory is operated by Battelle for the US Department of Energy under contract no. DE-AC05-76RL01830.
This paper describes objective technical results and analysis. Any subjective views or opinions that might be expressed in the paper do not necessarily represent the views of the US Department of Energy or the United States Government.
Sandia National Laboratories is a multi-mission laboratory managed and operated by National Technology &amp; Engineering Solutions of Sandia, LLC, a wholly owned subsidiary of Honeywell International Inc., for the US Department of Energy's National Nuclear Security Administration under contract no. DE-NA0003525.
This work was supported by the US DOE through the Los Alamos National Laboratory. Los Alamos National Laboratory is operated by Triad National Security, LLC, for the National Nuclear Security Administration of US Department of Energy (contract no. 89233218CNA000001). The University of Michigan scientists Christiane Jablonowski and Owen K. Hughes were supported by the DOE Office of Science (grant no. DE-SC0023220). Co-author Alan M. Rhoades was funded by the Director, Office of Science, Office of Biological and Environmental Research of the U.S. Department of Energy Regional and Global Model Analysis (RGMA) program, through the Calibrated and Systematic Characterization, Attribution and Detection of Extremes (CASCADE) Science Focus Area (award no. DE-AC02-05CH11231), and the “An Integrated Evaluation of the Simulated Hydroclimate System of the Continental US” project (award no. DE-SC0016605).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e6660">This paper was edited by Sam Rabin and reviewed by two anonymous referees.</p>
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