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<article xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:oasis="http://docs.oasis-open.org/ns/oasis-exchange/table" xml:lang="en" dtd-version="3.0" article-type="research-article"><?xmltex \bartext{Model experiment description paper}?>
  <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-16-3629-2023</article-id><title-group><article-title>Improving Antarctic Bottom Water precursors in NEMO for climate applications</article-title><alt-title>Improving Antarctic Bottom Water precursors in NEMO</alt-title>
      </title-group><?xmltex \runningtitle{Improving Antarctic Bottom Water precursors in NEMO}?><?xmltex \runningauthor{K. Hutchinson et al.}?>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes" rid="aff1">
          <name><surname>Hutchinson</surname><given-names>Katherine</given-names></name>
          <email>kath.hutchinson@gmail.com</email>
        <ext-link>https://orcid.org/0000-0002-3472-8273</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Deshayes</surname><given-names>Julie</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Éthé</surname><given-names>Christian</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Rousset</surname><given-names>Clément</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>de Lavergne</surname><given-names>Casimir</given-names></name>
          
        </contrib>
        <contrib contrib-type="author" corresp="no" rid="aff1">
          <name><surname>Vancoppenolle</surname><given-names>Martin</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-7573-8582</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Jourdain</surname><given-names>Nicolas C.</given-names></name>
          
        <ext-link>https://orcid.org/0000-0002-1372-2235</ext-link></contrib>
        <contrib contrib-type="author" corresp="no" rid="aff2">
          <name><surname>Mathiot</surname><given-names>Pierre</given-names></name>
          
        </contrib>
        <aff id="aff1"><label>1</label><institution>LOCEAN Laboratory, Sorbonne Université CNRS-IRD-MNHN, Paris,
France</institution>
        </aff>
        <aff id="aff2"><label>2</label><institution>University Grenoble Alpes/CNRS/IRD/G-INP, IGE, Grenoble, France</institution>
        </aff>
      </contrib-group>
      <author-notes><corresp id="corr1">Katherine Hutchinson (kath.hutchinson@gmail.com)</corresp></author-notes><pub-date><day>30</day><month>June</month><year>2023</year></pub-date>
      
      <volume>16</volume>
      <issue>12</issue>
      <fpage>3629</fpage><lpage>3650</lpage>
      <history>
        <date date-type="received"><day>25</day><month>January</month><year>2023</year></date>
           <date date-type="rev-request"><day>26</day><month>January</month><year>2023</year></date>
           <date date-type="rev-recd"><day>28</day><month>April</month><year>2023</year></date>
           <date date-type="accepted"><day>14</day><month>May</month><year>2023</year></date>
      </history>
      <permissions>
        <copyright-statement>Copyright: © 2023 Katherine Hutchinson 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/16/3629/2023/gmd-16-3629-2023.html">This article is available from https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023.html</self-uri><self-uri xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023.pdf">The full text article is available as a PDF file from https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023.pdf</self-uri>
      <abstract><title>Abstract</title>

      <p id="d1e152">The world's largest ice shelves are found in the Antarctic Weddell Sea
and Ross Sea where complex interactions between the atmosphere, sea ice,
ice shelves and ocean transform shelf waters into High Salinity Shelf Water
(HSSW) and Ice Shelf Water (ISW), the parent waters of Antarctic Bottom
Water (AABW). This process feeds the lower limb of the global overturning
circulation as AABW, the world's densest and deepest water mass, spreads
outwards from Antarctica. None of the coupled climate models contributing to
CMIP6 directly simulated ocean–ice shelf interactions, thereby omitting a
potentially critical piece of the climate puzzle. As a first step towards
better representing these processes in a global ocean model, we run a
1<inline-formula><mml:math id="M1" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution Nucleus for European Modelling of the Ocean (NEMO; eORCA1) forced configuration to explicitly
simulate circulation beneath the Filchner-Ronne Ice Shelf (FRIS), Larsen C Ice Shelf (LCIS) and
Ross Ice Shelf (RIS). These locations are thought to supply the majority
of the source waters for AABW, and so melt in all other cavities is
provisionally prescribed. Results show that the grid resolution of
1<inline-formula><mml:math id="M2" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> is sufficient to produce melt rate patterns and total melt
fluxes of FRIS (117 <inline-formula><mml:math id="M3" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21 Gt yr<inline-formula><mml:math id="M4" 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>), LCIS (36 <inline-formula><mml:math id="M5" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7 Gt yr<inline-formula><mml:math id="M6" 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>) and RIS
(112 <inline-formula><mml:math id="M7" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 22 Gt yr<inline-formula><mml:math id="M8" 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>) that agree well with both high-resolution models and
satellite measurements. Most notably, allowing sub-ice shelf circulation
reduces salinity biases (0.1 psu), produces the previously unresolved water
mass ISW and re-organizes the shelf circulation to bring the regional model
hydrography closer to observations. A change in AABW within the Weddell Sea and
the Ross Sea towards colder, fresher values is identified, but the magnitude is
limited by the absence of a realistic overflow. This study presents a NEMO
configuration that can be used for climate applications with improved
realism of the Antarctic continental shelf circulation and a better
representation of the precursors of AABW.</p>
  </abstract>
    
<funding-group>
<award-group id="gs1">
<funding-source>H2020 European Research Council</funding-source>
<award-id>898058</award-id>
<award-id>101003536</award-id>
<award-id>820575</award-id>
</award-group>
<award-group id="gs2">
<funding-source>Grand Équipement National De Calcul Intensif</funding-source>
<award-id>A0100107451</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="d1e240">The Southern Ocean plays a vital role in global ocean circulation and in the
storage of both heat and carbon (Marshall and Speer, 2012; Frölicher et
al., 2015; Rintoul, 2018). Within this backdrop, the processes taking place
adjacent to and underneath the Antarctic ice shelves are not only important
for controlling regional ocean dynamics but also for facilitating globally
important water mass transformations (Schodlok et al., 2016). Sea ice
formation on the continental shelf decreases the buoyancy of the underlying
waters through the process of brine rejection creating High Salinity Shelf
Water (HSSW; Jacobs et al., 1979). When this dense water mass is formed
adjacent to an ice shelf, it can follow deep bathymetric pathways into the
neighbouring sub-ice shelf cavity and interact with the base of the ice to
form Ice Shelf Water (ISW; Jenkins, 1991). These dense waters then
accumulate on the continental shelf and migrate towards the shelf break to
cascade down the continental slope as a gravity current (Gordon, 1986;
Whitehead, 1987). As the waters descend towards the depths, they mix with
and entrain ambient water masses until they reach either a density neutral
depth, or the sea floor, at which point they spread outwards as Antarctic
Bottom Water (AABW) (Bergamasco et al., 2003; Huthnance, 1995). AABW plays a
crucial role in the global overturning circulation, in abyssal ventilation
and in the cross-basin transport of<?pagebreak page3630?> heat, salt, carbon, nutrients and
numerous other tracers (Killworth, 1983; Johnson, 2008; Orsi, 2010). The
principal locations for the formation of the source waters of AABW are the
Weddell Sea and Ross Sea, adjacent to the large ice shelves (Orsi et al., 1999;
van Caspel et al., 2015; Kerr et al., 2018; Bowen et al., 2021).</p>
      <p id="d1e243">Filchner-Ronne Ice Shelf (FRIS) is located at the southern boundary of the
Weddell Sea and represents 28 % of the total Antarctic ice shelf area
(Fig. 1a). Traditionally FRIS has been viewed as having the greatest
contribution to AABW by forming the coldest and most oxygen-rich dense
waters in the Southern Ocean (Nicholls et al., 2009; Naveira Garabato et
al., 2002). Observations for the southern Weddell Sea continental shelf
indicate that HSSW enters the FRIS cavity following the Ronne Depression
(Fig. 1a), circulates under the cavity causing melting at the base of the
ice shelf at great water pressures and then exits as colder and fresher ISW
via the Filchner Trough (Nicholls et al., 2001, 2004;
Janout et al., 2021). This outflowing ISW mixes with HSSW formed on the
shallow continental shelf adjacent to Berkner Island and cascades down the
continental slope, mixing with ambient modified Circumpolar Deep Water (CDW)
to form AABW (Fahrbach et al., 1995; Nicholls et al., 2009).</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="d1e248">Model bathymetry for <bold>(a)</bold> the Weddell Sea and <bold>(b)</bold> the Ross Sea with main
topographic features labelled (KIR – Korff Ice Rise and HIR – Henry Ice Rise). Red
arrows show direction of flow of warm deep water, and black arrows indicate
dense shelf water circulation according to observational estimates.
Circulation features depicted in this figure are adapted from information
presented in Budillon et al. (2003), Bergamasco et al. (2003), Russo et al. (2011) and Janout et al. (2021). Dotted magenta lines indicate sections used
for CTD comparisons, and green lines show shelf cross sections used for
analysis in Figs. 6 and 7.</p></caption>
        <?xmltex \igopts{width=483.69685pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f01.png"/>

      </fig>

      <p id="d1e264">While the main formation site of the source waters of AABW in the Weddell
Sea is the FRIS continental shelf, Larsen C Ice Shelf (LCIS) is also thought
to play an important role. Nestled into the arc of the Antarctic Peninsula
(Fig. 1a), processes adjacent to this ice shelf produce a fresher variety of
dense water called Weddell Sea Deep Water (WSDW), which is lighter than the
Weddell Sea Bottom Water (WSBW) formed further south (Fahrbach et al., 1995;
Gordon et al., 2001). This water mass is less hindered by bathymetric
constraints so that it is more easily transported out of the gyre over the
South Scotia Ridge to make an important contribution to AABW (Abrahamsen et
al., 2019; van Caspel et al., 2015).</p>
      <p id="d1e267">The Ross Sea, the second largest site for AABW formation, is home to
Antarctica's largest ice shelf, representing 32 % of the total Antarctic
ice shelf area (Rignot et al., 2013). The Ross Ice Shelf (RIS) is located at
the southern boundary of the Ross Sea (Fig. 1b) where the continental shelf
has very irregular topography with numerous troughs and depressions that act
as reservoirs for dense waters (Budillon et al., 2003). Just offshore, CDW
flows largely un-modified within the Ross Gyre and mixes with the local
waters at the shelf break (Fig. 1b), providing a source of heat and making
this a region of dynamic water mass exchange (Bergamasco et al., 2003;
Budillon et al., 2003). Two recurring ice-free zones are the principal
formation sites for HSSW in the area: one located at the southwestern
corner of the Ross Sea called the Terra Nova Bay polynya and another in
front of RIS called the Ross Sea Polynya. This HSSW then spreads both
northwards towards the shelf break and southwards under RIS (Fig. 1b).
Similarly to FRIS, the HSSW flowing into the RIS cavity interacts with the
base of the ice shelf to form ISW (Jacobs et al., 1979).</p>
      <p id="d1e270">While freshwater input to the ocean from ice shelf melt is (at present)
relatively small in magnitude, it exerts a strong modulating effect on dense
water formation and Southern Ocean water mass transformation (Schodlok et
al., 2016; Jeong et al., 2020). The impacts of increased meltwater in a
warming climate could, in addition to raising sea level, actually reduce
AABW formation with major consequences for global overturning (Silvano et
al., 2018; Williams et al., 2016). One possible series of events common to
simulations by the E3SM, CSIRO Mk3L and LOVECLIM climate models describes
how surface freshening from ice shelf melt would increase stratification
along the Antarctic coast, inhibit full depth convection and the formation
of dense shelf water, and simultaneously trap warm water at depth, resulting
in further ice shelf melting and a horizontal propagation of the warming
signal (Jeong et al., 2020; Phipps et al., 2016; Menviel et al., 2010).</p>
      <p id="d1e273">Despite the importance of ocean–ice shelf interactions for the climate
system, none of the models contributing to the DECK experiments of the
Coupled Model Intercomparison Project Phase 6 (CMIP6; used to inform the
Intergovernmental Panel on Climate Change (IPCC) Sixth Assessment Report (AR6))
explicitly represented circulation within sub-ice shelf cavities (Heuzé, 2021). This has lowered confidence in projected trends for the Southern
Ocean and has limited our ability to incorporate the impacts of global ocean
warming on the Antarctic Ice Sheet (Meredith et al., 2019; Beadling et al.,
2020; Comeau et al., 2022). In most coupled climate models, the formation of
dense water is poorly represented as AABW is formed via open-ocean
convection, often with mixed layers that are too deep and polynyas that are
too large and too frequent (Heuzé et al., 2013; Mohrmann et al., 2021). In
reality, deep open-ocean convection events able to produce AABW are rarely
observed (Goosse et al., 2021), and instead ocean–sea ice–atmosphere
interactions adjacent to the Antarctic ice shelves are responsible for the
creation of the majority of AABW source waters.</p>
      <p id="d1e276">The authors propose that the path towards improving AABW realism in coupled
climate models starts with a more accurate simulation of the dense
precursors on the Antarctic continental shelf. Then, work needs to be done
on improving the overflows so as to facilitate the downslope export of these
waters and on decreasing the strength of open-ocean convection (Heuzé, 2021). The Nucleus for European Modelling of the Ocean (NEMO) model is
used as the ocean component in many climate models (Hazeleger et al., 2010;
Scoccimarro et al., 2011; Hewitt et al., 2011, 2016; Dufresne et al., 2013;
Voldoire et al., 2013; Cao et al., 2018; Swart et al., 2019), and
consequently the development of configurations with improved realism of
Antarctic shelf water circulation and AABW source water properties is of
interest to a large community.</p>
      <?pagebreak page3631?><p id="d1e279">Ice shelf melt has previously been represented using NEMO in a variety of
ways: prescribed using a freshwater flux at the surface, a fixed flux
distributed over the depth range of the mouth of the ice shelf front, a
specified melt at the base of the ice shelf, and an interactive melt with
both fixed geometry and evolving coupled ice shelves (Mathiot et al., 2017;
Storkey et al., 2018; Smith et al., 2021). The simulations with a fixed
freshwater flux parameterization at depth perform well in terms of mimicking
the vertical overturning and associated entrainment of ice shelf melt but
do not allow for interactive ice–ocean exchange that evolves with ocean
properties. Parameterizations of ice shelf melt using far field temperature
(outside of the cavities) exist, and an extensive comparison was undertaken
in Burgard et al. (2022). Here they found that none of the available
parameterizations yield a negligible error, and so parameterizing basal melt
still remains a challenge. Furthermore, these parameterizations do not solve
the need to allow for circulation underneath the ice shelves in order to
produce the horizontal variability observed on the continental shelf. For
this, it is necessary to open the sub-ice shelf cavities in the simulation
(Mathiot et al., 2017; Storkey et al., 2018; Comeau et al., 2022). Of all
the previous studies using NEMO configurations with explicit sub-ice shelf
cavities, only one has been at a resolution that is compatible with
long-term climate projection applications, that developed by Smith et al. (2021) where a global ocean 1<inline-formula><mml:math id="M9" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> NEMO (eORCA1) is coupled with
interactive ice sheets in the U.K. Earth System model (UKESM). Previous
studies have proven very useful in illustrating the strengths and weaknesses
of NEMO's representation of ocean–ice shelf interactions, but the results
apply to regional configurations (e.g. Mathiot et al., 2017; Jourdain et
al., 2017; Hausmann et al., 2020; Huot et al., 2021) or high-resolution
global configurations (e.g. <inline-formula><mml:math id="M10" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula>  and <inline-formula><mml:math id="M11" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M12" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>  in Storkey
et al., 2018) and so do not fit the needs of typical CMIP models. The
results presented by Smith et al. (2021) for UKESM with NEMO eORCA1 coupled
to an Antarctic ice sheet model highlight the substantial advancement in
model development but do not show how this coupling affects the realism of
Southern Ocean water mass properties and dynamics. Evaluation of the initial
state of the UKESM (NEMO coupled to BICYCLES ice sheet model) was undertaken
by Siahaan et al. (2022), but the investigation served to check for the
absence of large biases, and so an in-depth comparison was not carried out.</p>
      <p id="d1e324">A gap therefore exists to take a step-by-step approach to represent ice
shelf–ocean interactions in NEMO for climate applications. Additionally, a
well-documented description of one possible method to simulate sub-ice shelf
cavity circulation in low-resolution ocean models could be of use in the
designing of the next phase of CMIP. In this study we present the first
proposed step in this journey by explicitly simulating circulation under
only RIS, FRIS and LCIS. These ice shelves were chosen due to their direct
role in the formation of the parent waters of AABW (Kerr et al., 2018; Bowen
et al., 2021) and due to their large size and thus practicality of
realistically simulating their sub-ice shelf cavities in a global ocean
1<inline-formula><mml:math id="M13" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> setup. We choose to keep all other ice shelf cavities closed
with prescribed melt rates injected at the mouth of the front using the
method described by Mathiot et al. (2017). This includes the relatively
large Amery Ice Shelf cavity, despite its role in preconditioning bottom
water formation in<?pagebreak page3632?> the Cape Darnley polynya (Williams et al., 2016) because
this polynya is absent in our configuration (due to the absence of icebergs
and landfast sea ice). We choose to explore the changes in circulation, melt
rates and water mass properties in the Weddell Sea and the Ross Sea in a forced
scenario with fixed cavity geometry, as coupling can introduce further
biases and obscure the changes attributed to sub-ice shelf circulation. By
taking this circumspect approach, it is possible to diagnose the impact of
ocean–ice shelf interactions on the parent waters of AABW and produce a
validated configuration of NEMO that can either be used for the next
generation of climate models or as an interim step towards dynamic ice-sheet
coupling.</p>
      <p id="d1e336">The model setup, configurations used in this study, forcing, and methodology
to establish initial conditions under the ice shelves are described in Sect. 2. A validation of the reference configuration compared to ocean
observations is presented in Sect. 3. Section 4 then explores the results from
the “open” cavity simulation and compares melt rates and thermohaline
properties with other model estimates and observed values. Section 5 provides
the reader with a summary discussion, and Sect. 6 presents a conclusion of
the findings of this study. Additional information regarding model namelist
nomenclature, representation of tides, an investigation into sea ice
production, and plots showing AABW volume and bottom density changes are
provided in the Supplement.</p>
</sec>
<sec id="Ch1.S2">
  <label>2</label><title>Methods</title>
<sec id="Ch1.S2.SS1">
  <label>2.1</label><title>Model setup</title>
      <p id="d1e354">For this study, we use version 4.2 of NEMO (NEMO System Team, 2022). NEMO is
a three-dimensional, free-surface, hydrostatic, primitive-equation global
ocean general circulation model. Our configuration uses the eORCA1 global
grid, with a nominal horizontal resolution of 1<inline-formula><mml:math id="M14" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> at the Equator and a
reduction in meridional grid spacing towards higher latitudes to match the
accompanying shrinking of the zonal dimension of the grid cells. In the
Southern Hemisphere, the model grid has been extended to reach 85<inline-formula><mml:math id="M15" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S to allow for the representation of the sub-ice shelf seas according to the
procedure described in Mathiot et al. (2017). The average horizontal
resolution of the grid under RIS, FRIS and LCIS is 20, 22 and 42 km
respectively. To account for the decrease in the horizontal size of grid
cells at high latitudes, we decide to linearly scale the Laplacian eddy
viscosity south of 65<inline-formula><mml:math id="M16" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S according to grid cell size. In the
vertical, the configuration possesses 75 levels, with thickness increasing
from 1 m at the surface to 200 m at depth (Storkey et al., 2018). We use the
<inline-formula><mml:math id="M17" display="inline"><mml:mrow><mml:msup><mml:mi>z</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math></inline-formula> vertical coordinate adapted to the ice shelf so that all cells between
the surface and the ice shelf base are masked at initialization and the
effect of the ice shelf on friction and pressure gradient is calculated
(Madec and NEMO System Team, 2019; Mathiot et al., 2017). The bathymetry
used is derived from the Earth TOPOgraphy version 2 dataset (ETOPO2v2;
NOAA, 2006) with information for the extension under the ice shelves based
on the International Bathymetric Chart of the Southern Ocean (IBSCO; Arndt
et al., 2013). For the calculation of the thermodynamic properties of
seawater, NEMO uses the Thermodynamic Equation Of Seawater – 2010 (TEOS-10),
giving results in conservative temperature and absolute salinity, which, for
the purposes of this study, were converted to potential temperature and
practical salinity in order to facilitate comparison of the model results
with observations and known signatures of water masses. For more information
regarding the choices of advection and diffusion schemes, mixing
coefficients and eddy parameterizations, please refer to the copy of the
namelists provided in the accompanying data repository. A note explaining
the nomenclature of the namelists and the differences between the open
and “closed” cavity simulations can be found in the Supplement
Sect. S1.</p>
      <p id="d1e395">The effect of tides on vertical mixing (through breaking of internal waves)
is taken into account in NEMO using the energy constrained parameterization
of de Lavergne et al. (2020). This mixing parameterization does not,
however, represent trapped waves at high latitudes or any tide-induced
internal-wave mixing below ice shelves and does not include the effect of
tides on basal friction and thus melting of the ice shelves. To address
this, by default there is a parameter (rn_ke0) representing
the background kinetic energy associated with tides which is set to a
constant of <inline-formula><mml:math id="M18" display="inline"><mml:mrow><mml:mn mathvariant="normal">2.5</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">3</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> m<inline-formula><mml:math id="M19" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">2</mml:mn></mml:msup></mml:math></inline-formula> s<inline-formula><mml:math id="M20" 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> everywhere. We tested another
methodology of parameterizing the impact of tides on melting according to
Jourdain et al. (2019) using CATS2008 two-dimensional tidal velocities; as
summarized in the Supplement Sect. S2 and Fig. S1, this alternative
parameterization brings marginal changes in the simulated melt patterns and
bulk melt rates (<inline-formula><mml:math id="M21" display="inline"><mml:mo lspace="0mm">&lt;</mml:mo></mml:math></inline-formula> 10 %). The explicit representation of tides is
not advisable in a configuration designed for climate applications due to
the high levels of numerical mixing induced.</p>
      <p id="d1e444">The ocean dynamics component, NEMO OCE, is coupled with SI<inline-formula><mml:math id="M22" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula>, the
dynamic and thermodynamic sea ice model of NEMO (Rousset et al., 2015;
Vancoppenolle et al., 2023). SI<inline-formula><mml:math id="M23" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> is directly resolved on the ocean
grid, based on an energy- and salt-conserving approach for sea ice
thermodynamics (Vancoppenolle et al., 2023), multiple categories to resolve
subgrid-scale variations in ice thickness (Bitz et al., 2001; Lipscomb,
2001), a second-order-moment-conserving scheme for horizontal advection
(Prather, 1986), and the adaptive elastic–viscous–plastic formulation for
the rheology term of the momentum equation (Kimmritz et al., 2016).</p>
</sec>
<sec id="Ch1.S2.SS2">
  <label>2.2</label><title>Open vs closed configurations</title>
      <p id="d1e473">Here, we present results from two configurations: first a closed-cavity
reference configuration, where ice shelf melt is prescribed in a way that
mimics the ice-shelf overturning, and secondly an open-cavity
configuration. For the<?pagebreak page3633?> reference closed-cavity configuration, a fixed
freshwater flux corresponding to the volume of basal meltwater estimated by
Depoorter et al. (2013) for each ice shelf is added into the ocean evenly
between the ocean floor and the base of the ice shelf, horizontally uniform
across the ice shelf front, and a vertical wall closes the cavity at this
location (as in Mathiot et al., 2017). The fixed freshwater flux is based on
Depoorter et al. (2013) melt estimates as this is the same file used for the
IPSL climate model. Furthermore, the ice shelf area surveyed by Adusumilli
et al. (2020) only extends to 81.5<inline-formula><mml:math id="M24" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S so that RIS and FRIS are
not fully covered and therefore do not have the full melt flux. For the
open-cavity configuration, the majority of ice shelves are kept closed
using the same method as described above, and only three of the largest cold
water ice shelves are opened. Circulation is simulated under RIS, FRIS and
LCIS where the prescribed freshwater flux is turned off at the mouths of
these cavities and interactive melt is activated. Ice shelf melt and freeze
are calculated using the three-equation formulation (Hellmer and Olbers, 1989;
Holland and Jenkins, 1999; Asay-Davis et al., 2016) in which the
temperature, salinity and velocities are averaged over a fixed boundary
layer thickness of 30 m chosen according to Losch (2008). The top drag
coefficient used is 10<inline-formula><mml:math id="M25" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>, and the temperature and salinity transfer
coefficients used are <inline-formula><mml:math id="M26" display="inline"><mml:mrow><mml:mn mathvariant="normal">1.4</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">2</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> and <inline-formula><mml:math id="M27" display="inline"><mml:mrow><mml:mn mathvariant="normal">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">4</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math></inline-formula> respectively. Note
that a fixed ice shelf geometry is maintained, thereby assuming a
steady state where all ice melted by the ocean is replaced by the seaward
advection of new ice (Schodlok et al., 2016; Mathiot et al., 2017).</p>
      <p id="d1e533">By using this combination of explicit and parameterized ice shelf cavities,
we provide an intermediate step between prescribed melt and explicit
cavities or even ice sheet coupling and gain experience and a better
understanding of the impact on ocean dynamics in order to better inform
future choices. The advantage of this approach is that it allows us to
specify the melt for small cavities which remain unresolved or
insufficiently resolved at a 1<inline-formula><mml:math id="M28" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution and simultaneously
utilize the model capability to resolve sub-ice shelf cavity circulation
under the large, cold ice shelves, which allows for more realistic formation
of the source waters of AABW. In terms of computing cost, the open-cavity configuration costs 11 % more than the closed-cavity simulation
(mostly due to addition of cells as the model grid is extended further
south; only 0.3 % of this is associated with the cost of the ice shelf
routines themselves). Figure 1 shows the extended bathymetry of eORCA1 for
the Weddell Sea and the Ross Sea, with the three ice shelf cavities of interest
un-masked and important features labelled.</p>
</sec>
<sec id="Ch1.S2.SS3">
  <label>2.3</label><title>Forcing</title>
      <p id="d1e553">For both open and closed configurations, the model was run for 124 years using two cycles of interannual (1948–2009) CORE forcing (Coordinated
Ocean-ice Reference Experiments version 2; Large and Yeager, 2004;
Griffies et al., 2009). Sea surface salinity restoring is activated but not
under sea ice as we have low confidence in the sea surface salinity
climatology in this area due to limited observations. Freshwater discharge
from iceberg melt is parameterized using a prescribed surface flux with
realistic distribution (Merino et al., 2016), based on calving estimates
from Depoorter et al. (2013).</p>
</sec>
<sec id="Ch1.S2.SS4">
  <label>2.4</label><title>Initial conditions</title>
      <p id="d1e564">For all simulations, global ocean properties were initialized using the
1981–2010 climatology of World Ocean Atlas 2013 (WOA2013; Locarnini et al.,
2013; Zweng et al., 2013) as this dataset is used for the IPSL climate model
and so was a convenient choice. This climatology does not, however, extend
under the Antarctic ice shelves, and so in order to provide somewhat
realistic initial conditions underneath FRIS, LCIS and RIS, we employed an
idealized regional configuration of each ice shelf. For this we created a
NEMO test case using a closed domain, with temperature and salinity
restoring at the boundaries; 75 vertical layers; and a resolution, time step
and bathymetry corresponding to those of eORCA1. The domain for each of the 3
configurations included just the ice shelf and adjacent continental shelf
and slope and so were reasonably low-cost and fast to run in order to
perform sensitivity experiments. The simulations were initialized with a
constant and uniform temperature and salinity and restored at the boundaries
using a mean profile from WOA2013 for that region. The choices for initial
thermohaline properties inside the cavities were informed by calculating the
mean values of detected ISW from CTD (conductivity, temperature, and depth) observations performed in the area
adjacent to each ice shelf and converting these to conservative temperature
and absolute salinity for input to the model (<inline-formula><mml:math id="M29" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M30" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 34.76 for
FRIS (Janout et al., 2021), <inline-formula><mml:math id="M31" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.95 <inline-formula><mml:math id="M32" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 34.74 for LCIS (Nicholls
et al., 2004; Hutchinson et al., 2020), and <inline-formula><mml:math id="M33" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>1.94 <inline-formula><mml:math id="M34" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and 34.76
for RIS (Bergamasco et al., 2003; Budillon et al., 2003)). Each simulation
was run for 10 years, which was found to be sufficiently long to spin up the
circulation within each cavity and reach a stable melt rate. The
temperature–salinity distributions within the cavity were extracted and
merged with WOA2013 data re-gridded to the NEMO eORCA1 grid, with a cubic
spline used to smooth the data discontinuity across the ice shelf front. By
following this method we have attempted to provide as realistic initial
conditions for eORCA1 as possible, with the simulation starting with CORE
forcing from the 1 January 1948.</p>
</sec>
</sec>
<sec id="Ch1.S3">
  <label>3</label><title>Water mass realism in NEMO without cavities</title>
      <p id="d1e625">To assess the existing biases in the representation of dense water
properties in NEMO v4.2 eORCA1 standard configuration (closed), full
depth temperature versus salinity plots along with bottom temperature and
salinity are compared<?pagebreak page3634?> with World Ocean Atlas (WOA 2018) gridded observations
from 1981–2010 (Locarnini et al., 2018; Zweng et al., 2019) in Figs. 2 and 3
for the Weddell Sea and the Ross Sea respectively.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F2" specific-use="star"><?xmltex \currentcnt{2}?><?xmltex \def\figurename{Figure}?><label>Figure 2</label><caption><p id="d1e630">Weddell Sea comparison of NEMO v4.2 eORCA1 reference configuration
(closed;  <bold>d–f</bold>) for equivalent years 1981–2009 to be compared
with World Ocean Atlas (WOA; Locarnini et al., 2018; Zweng et al., 2019)
observational dataset <bold>(a–c)</bold>. The temperature–salinity distributions
in density space are shown in plots <bold>(a)</bold>, <bold>(d)</bold> and <bold>(g)</bold>, with the dashed grey
line representing surface freezing point and labels in plot <bold>(a)</bold> indicating
the observed ranges for properties corresponding to Antarctic Bottom Water
(AABW), High Salinity Shelf Water (HSSW) and Ice Shelf Water (ISW)
(Robertson et al., 2002; Hutchinson et al., 2020). Panels <bold>(b)</bold>, <bold>(c)</bold>, <bold>(e)</bold> and
<bold>(f)</bold> show bottom temperature and salinity of WOA and the closed-cavity simulation, and the
difference in bottom properties between the open- and closed-cavity
configurations (open<inline-formula><mml:math id="M35" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>closed) is shown in panels <bold>(h)</bold> and <bold>(i)</bold>. Panels <bold>(a)</bold>
and <bold>(g)</bold> exclude ice shelf cavity data matching the closed configuration
of panel <bold>(d)</bold>.</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f02.png"/>

      </fig>

      <?xmltex \floatpos{t}?><fig id="Ch1.F3" specific-use="star"><?xmltex \currentcnt{3}?><?xmltex \def\figurename{Figure}?><label>Figure 3</label><caption><p id="d1e695">Same as Fig. 2 but for the Ross Sea.</p></caption>
        <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f03.png"/>

      </fig>

      <p id="d1e705">WOA observations indicate the presence of HSSW on the southwestern
continental shelf of the Weddell Sea, possessing salinities of up to 34.9 psu, likely sourced from the coastal polynya along the western flank of FRIS
ice shelf front (Supplement Fig. S2a). On the eastern side of
the FRIS ice shelf front, evidence of ISW can be seen with temperatures
below surface freezing point (<inline-formula><mml:math id="M36" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>1.9 <inline-formula><mml:math id="M37" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) and fresher salinities of
around 34.65 psu (Fig. 2b and c). Results from CTD observations obtained
on the continental shelf in front of FRIS propose an anticlockwise
circulation pattern, with HSSW entering the cavity via the Ronne Depression
and ISW exiting via the Filchner Trough (Fig. 1a; Janout et al., 2021). By
comparison, the standard model configuration is overall too salty on the
continental shelf, with HSSW properties that are out of the bounds of the
observed range (HSSW box Fig. 2d). Most notably, there is a pool of HSSW
that has built up in the Ronne Depression resulting in overestimations of
bottom salinity and exaggerated cool conditions on the southwestern Weddell
shelf (Fig. 2e and f). In terms of ISW, there is none detected in the
model output (ISW box Fig. 2d), as in this configuration there is no
explicit ocean–ice shelf interaction. Offshore bottom temperature is overall
colder than in WOA, resulting in a core AABW signature that is at the lower
limit of observed values (Fig. 2d). This is indicative of the effects of
strong open-ocean deep convection (Heuzé, 2021), which is discussed
further in Sect. 4.4.</p>
      <p id="d1e724">Due to the limited observations adjacent to LCIS, WOA bottom properties do
not capture the cold water masses located on the continental shelf detected
by Hutchinson et al. (2020), where bottom temperatures of below <inline-formula><mml:math id="M38" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M39" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and salinities of 34.6 psu were reported. Instead, Fig. 2b
indicates very warm conditions (temperatures of around 0.5 <inline-formula><mml:math id="M40" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C) on
the western flank of the Weddell Sea. The authors explored the bottom
properties in this area in the Southern Ocean State Estimate (SOSE; Mazloff
et al., 2010) atlas and found bottom temperatures on the shelf adjacent to
LCIS in line with those reported from hydrographic observations (<inline-formula><mml:math id="M41" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>2 <inline-formula><mml:math id="M42" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C), but the bottom salinities were found to be far too fresh
(34.5 psu). A fair comparison can therefore not be realistically made
between NEMO and an atlas for the area adjacent to LCIS, but by comparing
the model output with the CTD results from Hutchinson et al. (2020; their
Fig. 3b), we find the closed configuration to be too saline, with bottom
salinities (34.8 psu) greater than those observed. The overly saline
conditions along the western flank of the Weddell Sea are likely a
spill-over effect from the HSSW buildup seen in the Ronne Depression further
south (Fig. 2f).</p>
      <p id="d1e768">WOA bottom temperatures and salinities for the Ross Sea indicate a strong
east–west gradient in properties across the continental shelf (Fig. 3b and
c). Conditions in the southwest reveal the cold and salty signature of
HSSW likely formed in the Terra Nova Bay polynya and the Ross Polynya.
Intrusions of CDW at the eastern portion of the RIS front can be seen by
warm signatures of up to 1 <inline-formula><mml:math id="M43" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C (Fig. 3b) and fresher bottom
salinities (Fig. 3c). Hydrological and current meter data presented by
Budillon et al. (2003) reported that HSSW dominates bottom properties within
the troughs connected to the Joides Basin, and ISW dominates in the
Challenger Trough (see locations of bathymetric features in Fig. 1b), thus
indicating a western intensified anticlockwise circulation cell under RIS.
In terms of HSSW properties, the model is within the observed range (Fig. 3d), yet the proportion and salinity of HSSW in Terra Nova Bay and Joides
Basin appear to be overestimated (Fig. 3f). The bottom temperatures from
NEMO indicate the presence of very warm waters, likely of circumpolar origin
right on the eastern continental shelf (Fig. 3e), whereas in observations
this shelf is found to be cold and the warm water confined offshore of the
shelf break with only occasional intrusions (Bergamasco et al., 2003; Fig. 3b). Again, there is no ISW in this standard configuration, as there is no
explicit model representation of ice shelf–ocean interactions. Offshore
bottom properties are slightly cooler than WOA in the model, but the AABW
signature (AABW box Fig. 3d) falls within the range reported from
observations (Bergamasco et al., 2002; Budillon et al., 2003; Silvano et
al., 2016).</p>
</sec>
<sec id="Ch1.S4">
  <label>4</label><title>Impact of explicit sub-ice shelf circulation</title>
      <p id="d1e788">The following sections present results pertaining to the open-cavity run
where the eORCA1 grid is extended under FRIS, LCIS and RIS to allow for
circulation within the cavities and explicit interaction with the base of
these ice shelves.</p>
<sec id="Ch1.S4.SS1">
  <label>4.1</label><title>Melt rates</title>
      <?pagebreak page3635?><p id="d1e798">The average ice shelf melt rate pattern for FRIS, LCIS and RIS is shown in
Fig. 4 for the model simulation equivalent years 1995 to 2009, where orange
indicates melt and purple shows refreezing. The average total melt flux for
this time period is shown in Table 1 and compared to Depoorter et al. (2013)
from which the volumes for the prescribed melt were taken for the reference
configuration (closed). Opening the cavities results in at least double
the melt reported from Depoorter et al. (2013). This discrepancy reflects
both a warm bias on the continental shelf in NEMO (Sect. 4.4) and a possible
bias in Depoorter's estimates which are lower than all other satellite
estimates (Table 1). The total melt fluxes of each ice shelf from various
other observational and model studies are also listed in the table, showing
the wide spread in basal melt estimates both within values calculated from
observations and between observations and models (Table 1). The model
studies of Mathiot et al. (2017) and Bull et al. (2021), which are both
regional NEMO <inline-formula><mml:math id="M44" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M45" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> configurations, and the NEMO <inline-formula><mml:math id="M46" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M47" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
configuration of the southwestern Weddell Sea of Hausmann et al. (2020)
are particularly relevant to compare eORCA1 with, as here we see the
possible impact of lowering the resolution in NEMO. For the Weddell Sea, our
global 1<inline-formula><mml:math id="M48" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> (eORCA1) compares well with these regional high-resolution studies, producing a net basal melt within 12 Gt yr<inline-formula><mml:math id="M49" 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> of the other
estimates for FRIS and LCIS. The eORCA1 melt rate for RIS, while higher than
observational studies, is in the middle of other model estimates and is
especially well aligned with that of NEMO <inline-formula><mml:math id="M50" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M51" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> from Mathiot et al. (2017). Overall, eORCA1's total melt fluxes correspond well with the average
from all other estimates and are well within the standard deviations (last
line of Table 1).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F4" specific-use="star"><?xmltex \currentcnt{4}?><?xmltex \def\figurename{Figure}?><label>Figure 4</label><caption><p id="d1e885">Melt rates in metres per year for <bold>(a)</bold> Filchner-Ronne Ice Shelf,
<bold>(b)</bold> Larsen C Ice Shelf and <bold>(c)</bold> Ross Ice Shelf, where orange indicates melt
and purple re-freezing. The results are mean values for the model equivalent
period 1995–2009.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f04.png"/>

        </fig>

<?xmltex \floatpos{t}?><table-wrap id="Ch1.T1" specific-use="star"><?xmltex \currentcnt{1}?><label>Table 1</label><caption><p id="d1e906">Comparison of mean total melt flux (gigatonnes per year) for
the Filchner-Ronne Ice Shelf (FRIS), Larsen C Ice Shelf (LCIS) and Ross Ice Shelf (RIS) for
observational and model studies. The mean and standard deviation of all the
estimates depicted in the table excluding the current study are shown at the
bottom.</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="left"/>
     <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:thead>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Values (in Gt yr<inline-formula><mml:math id="M52" 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>)</oasis:entry>
         <oasis:entry colname="col3">FRIS</oasis:entry>
         <oasis:entry colname="col4">LCIS</oasis:entry>
         <oasis:entry colname="col5">RIS</oasis:entry>
       </oasis:row>
     </oasis:thead>
     <oasis:tbody>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1">Current study</oasis:entry>
         <oasis:entry colname="col2">NEMO 4.2 eORCA1 (1995–2009)</oasis:entry>
         <oasis:entry colname="col3">117 <inline-formula><mml:math id="M53" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21</oasis:entry>
         <oasis:entry colname="col4">36 <inline-formula><mml:math id="M54" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 7</oasis:entry>
         <oasis:entry colname="col5">112 <inline-formula><mml:math id="M55" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 22</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Obs</oasis:entry>
         <oasis:entry colname="col2">Depoorter et al. (2013) (1995–2009)</oasis:entry>
         <oasis:entry colname="col3">50 <inline-formula><mml:math id="M56" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 40</oasis:entry>
         <oasis:entry colname="col4">18 <inline-formula><mml:math id="M57" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 8</oasis:entry>
         <oasis:entry colname="col5">34 <inline-formula><mml:math id="M58" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 25</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Adusumilli et al. (2020) (1994–2018)</oasis:entry>
         <oasis:entry colname="col3">81 <inline-formula><mml:math id="M59" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 123</oasis:entry>
         <oasis:entry colname="col4">78 <inline-formula><mml:math id="M60" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 99</oasis:entry>
         <oasis:entry colname="col5">80 <inline-formula><mml:math id="M61" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 82</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Rignot et al. (2013) (2003–2008)</oasis:entry>
         <oasis:entry colname="col3">155 <inline-formula><mml:math id="M62" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 36</oasis:entry>
         <oasis:entry colname="col4">21 <inline-formula><mml:math id="M63" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 67</oasis:entry>
         <oasis:entry colname="col5">48 <inline-formula><mml:math id="M64" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 24</oasis:entry>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Moholdt et al. (2014) (2003–2009)</oasis:entry>
         <oasis:entry colname="col3">124</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5">50</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1">Models</oasis:entry>
         <oasis:entry colname="col2">Mathiot et al. (2017) (1988)</oasis:entry>
         <oasis:entry colname="col3">123</oasis:entry>
         <oasis:entry colname="col4">46</oasis:entry>
         <oasis:entry colname="col5">111</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Timmermann et al. (2012) (1980–1999)</oasis:entry>
         <oasis:entry colname="col3">138</oasis:entry>
         <oasis:entry colname="col4">48</oasis:entry>
         <oasis:entry colname="col5">260</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hellmer (2004) (1978–1997)</oasis:entry>
         <oasis:entry colname="col3">119</oasis:entry>
         <oasis:entry colname="col4">38</oasis:entry>
         <oasis:entry colname="col5">180</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Naughten et al. (2018) (FESOM HR) (2002–2016)</oasis:entry>
         <oasis:entry colname="col3">115</oasis:entry>
         <oasis:entry colname="col4">55</oasis:entry>
         <oasis:entry colname="col5">112</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Naughten et al. (2018) (MetROMS) (2002–2016)</oasis:entry>
         <oasis:entry colname="col3">46</oasis:entry>
         <oasis:entry colname="col4">18</oasis:entry>
         <oasis:entry colname="col5">54</oasis:entry>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Hausmann et al. (2020) (1993–1997)</oasis:entry>
         <oasis:entry colname="col3">105</oasis:entry>
         <oasis:entry colname="col4">24</oasis:entry>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row rowsep="1">
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Bull et al. (2021) (1986–2017)</oasis:entry>
         <oasis:entry colname="col3">124</oasis:entry>
         <oasis:entry colname="col4"/>
         <oasis:entry colname="col5"/>
       </oasis:row>
       <oasis:row>
         <oasis:entry colname="col1"/>
         <oasis:entry colname="col2">Average from all the above excluding present study</oasis:entry>
         <oasis:entry colname="col3">111 <inline-formula><mml:math id="M65" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 33</oasis:entry>
         <oasis:entry colname="col4">37 <inline-formula><mml:math id="M66" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 21</oasis:entry>
         <oasis:entry colname="col5">118 <inline-formula><mml:math id="M67" display="inline"><mml:mo>±</mml:mo></mml:math></inline-formula> 87</oasis:entry>
       </oasis:row>
     </oasis:tbody>
   </oasis:tgroup></oasis:table><?xmltex \gdef\@currentlabel{1}?></table-wrap>

      <p id="d1e1288">The patterns of melt shown in Fig. 4 also compare well with those of
observational estimates like Rignot et al. (2013; their Fig. 1) and high-resolution model results like Hausmann et al. (2020; their Fig. 3), whose
colour bar we replicated for ease of cross-comparison. If we look at the melt
pattern of FRIS and compare it with these two aforementioned studies, we see
that eORCA1 captures the high melt rates at the western portion of the ice
shelf front, at the southern edge of Berkner Island and along the grounding
line at the back of the cavity. The model also correctly simulates the
region of refreezing along the western boundary of the circulation cell
within the cavity, in both the Ronne and Filchner depressions and the
re-freezing in the shallow region between the Korff and Henry Ice Rises
(Fig. 4a, see bathymetry location in Fig. 1a). For LCIS, the entire shelf
shows a positive melt (Fig. 4b). Observations from Rignot et al. (2013) and
simulations from Harrison et al. (2022) indicate some re-freezing under this
ice shelf, but the regional high-resolution model studies of Mathiot et al. (2017) and Hausmann et al. (2020) similarly show melting only. The pattern
for RIS generally compares well with that reported from observations, but the
magnitude of melt at the ice shelf front, especially to the east, is
elevated (Fig. 4c).</p>
</sec>
<sec id="Ch1.S4.SS2">
  <label>4.2</label><title>Circulation and properties</title>
      <p id="d1e1299">Opening the sub-ice shelf cavities in eORCA1 allows for the establishment of
a horizontal gyre circulation within the cavity and on the continental shelf
of the Weddell Sea and the Ross Sea, in line with previous studies (Losch,
2008; Mathiot et al., 2017).</p>
      <p id="d1e1302">The mean state of circulation from the last 10 years of simulation within
the FRIS cavity, along with the associated bottom thermohaline properties,
can be seen in Fig.<?pagebreak page3636?> 5a–d. The circulation patterns shown here are in good
agreement with Bull et al. (2021) at <inline-formula><mml:math id="M68" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">4</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M69" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> and with Hausmann et al. (2020) at <inline-formula><mml:math id="M70" display="inline"><mml:mrow><mml:mn mathvariant="normal">1</mml:mn><mml:mo>/</mml:mo><mml:mn mathvariant="normal">12</mml:mn></mml:mrow></mml:math></inline-formula><inline-formula><mml:math id="M71" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>, with the exception of higher bottom salinities in
eORCA1 and a slightly weaker barotropic circulation strength. Note that here
we use potential temperature and practical salinity so as to be in line with
the other figures of this paper, so approximately 0.17 psu must be added
when juxtaposing with absolute salinity plots. The depth-averaged velocity
and barotropic circulation pattern in Fig. 5a and b both indicate an
anticlockwise circulation under the ice shelf. Comparatively warm and salty
HSSW enters via the Ronne Depression, circulates from west to east, melts
the base of the ice shelf mostly along the grounding line (cold, fresh
signatures in Fig. 5c and d) and exits via the Filchner Trough as ISW.
This pattern is consistent with observations (Nicholls et al., 2001; Janout
et al., 2021). Two pathways of Modified Circumpolar Deep Water (MCDW)
towards the ice shelf front can be seen, both in the circulation pattern
(Fig. 5a) and via the bottom temperature (Fig. 5c): one located in the
middle of the continental shelf (Central Trough) and the other on the shelf
to the east of Filchner Trough. These pathways provide a conduit for heat
towards the ice shelf and facilitate the mixing of shelf water masses with
MCDW. It is therefore encouraging that eORCA1 (with an effective horizontal
resolution under FRIS of 22 km) captures these, as they could play an
important role in the evolution of shelf circulation in future climate
scenarios (Naughten et al., 2021).</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="d1e1347">Circulation pattern and characteristics of properties under
the Filchner-Ronne Ice Shelf <bold>(a–d)</bold> and the Ross Ice Shelf <bold>(e–h)</bold> for the last 10 years of the
open-cavity experiment. Panels <bold>(a)</bold> and <bold>(e)</bold> show depth-averaged velocity,
<bold>(b)</bold> and <bold>(f)</bold> barotropic stream function, <bold>(c, g)</bold> bottom potential
temperature, and <bold>(d)</bold> and <bold>(h)</bold> bottom practical salinity (as opposed to
conservative and absolute shown in Bull et al., 2021).</p></caption>
          <?xmltex \igopts{width=341.433071pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f05.jpg"/>

        </fig>

      <p id="d1e1385">Moving now to the Ross Sea, the time mean circulation pattern under RIS
along with the bottom temperature and salinity can be seen in Fig. 5e–h.
Here, we notice a strong<?pagebreak page3637?> anticlockwise circulation concentrated at the
western boundary, with reduced magnitude currents towards the back and east
of the cavity. The west of the cavity is overall warmer and saltier and the
east shows signatures of ISW. Bottom temperature indicates the presence of a
cold ISW plume exiting the cavity to the far east (Fig. 5g), which is not
seen in the time-averaged velocities or barotropic streamfunction, likely
because the associated speeds are slow. Instead, the simulated circulation
indicates an offshore advection of sub-ice shelf water following the
Challenger Trough (see location marked in Fig. 1b). This water mass is
likely recirculated HSSW as its temperature remains at surface freezing
point (<inline-formula><mml:math id="M72" display="inline"><mml:mo lspace="0mm">-</mml:mo></mml:math></inline-formula>1.9 <inline-formula><mml:math id="M73" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C). A strong clockwise circulation cell offshore of
RIS (red in Fig. 5f) brings warm CDW into contact with the ice shelf front
to the east, mixing out the signature of ISW further offshore (Fig. 5g).
While this simulated circulation pattern agrees well with that described by
observations (Fig. 1; Bergamasco et al., 2003; Budillon et al., 2003), it is
likely too strong, resulting in an exaggerated net melt flux compared to the
observational estimates (Table 1; anomalously high melt at the eastern
portion of the ice shelf front in Fig. 4c).</p>
</sec>
<sec id="Ch1.S4.SS3">
  <label>4.3</label><title>Impact on offshore properties</title>
      <p id="d1e1412">To highlight the impact of opening the FRIS, LCIS and RIS sub-ice shelf
cavities on the offshore properties, Figs. 2g and 3g show the temperature
versus salinity distribution excluding the data under the ice shelves. The
differences in bottom temperature and salinity can be seen in Fig. 2h and
i for the Weddell Sea and Fig. 3h and i for the Ross Sea.</p>
      <p id="d1e1415">A significant improvement in the representation of Weddell shelf water
properties is evident as now HSSW is within the observed range and ISW is
detected on the continental shelf (see HSSW and ISW red boxes in Fig. 2g).
Opening the sub-ice-shelf cavity of FRIS has allowed the HSSW that
previously built up in the Ronne Depression to advect under the ice shelf,
become modified through basal interactions, and exit the cavity as colder and
fresher ISW. Consequently, the temperature and salinity differences are
polarized west and east, with warmer fresher conditions along the entire
western boundary of the Weddell Gyre and cooler, saltier conditions on the
eastern continental shelf (Fig. 2h and i). These results agree well with
those of Mathiot et al. (2017). The impact of opening LCIS can be seen via
the maintenance of cold bottom properties immediately to the north (despite
the fact that the shelf circulation has changed so that HSSW no-longer
floods this region), along with the presence of a large negative salinity
anomaly indicative of ice shelf melt (Fig. 2i). As the simulation is only
124 years long, the impact of opening the cavities on AABW cannot be fully
assessed due to the slow renewal of this water mass at the bottom of the
global ocean. A small change in signature of AABW can, however, be seen in
the volumetric <inline-formula><mml:math id="M74" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M75" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> plot (Supplement Fig. S3a), where explicit
ocean–ice shelf interaction results in a shift in volume towards cooler,
fresher AABW (open<inline-formula><mml:math id="M76" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>closed weighted average shift in AABW volume by <inline-formula><mml:math id="M77" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.008 <inline-formula><mml:math id="M78" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M79" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.003 psu). This shift is accompanied by a small increase
in volume of the water mass by 0.23 % (AABW limits delineated in green in
Fig. S3a).</p>
      <p id="d1e1463">The impact of opening the RIS cavity on offshore properties can be seen in
Fig. 3h and i. Similar to the Weddell Sea, conditions in the west, where
in the reference run HSSW was built up, now become warmer and fresher as the
path under the ice shelf is open. The signature of the cold plumes of dense
shelf water (Fig. 5g) on either side of Roosevelt Island can clearly be seen
in the temperature difference plot (Fig. 3h), but curiously they do not
possess the same salinity anomaly (Fig. 3i). The positive salinity
difference of the western plume indicates that this water is a variety of
HSSW which has circulated under the ice shelf and was previously not present
in this area. The small negative anomaly to the east indicates that this
cold plume is, as previously hypothesized, outflowing ISW. Small temperature
differences on the continental slope and further offshore indicate that
there has been some communication of the changes in shelf waters further
afield. The volumetric <inline-formula><mml:math id="M80" display="inline"><mml:mi>T</mml:mi></mml:math></inline-formula>–<inline-formula><mml:math id="M81" display="inline"><mml:mi>S</mml:mi></mml:math></inline-formula> plot for the Ross Sea found in the Supplement (Fig. S3b) indicates that opening the RIS cavity has moved the core
of AABW towards slightly cooler<?pagebreak page3639?> fresher values, accompanied by a 0.34 %
decrease in volume of AABW as defined by the original water mass limits
(delineated in green in Fig. S3b; open<inline-formula><mml:math id="M82" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>closed weighted average shift in
AABW volume by <inline-formula><mml:math id="M83" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.001 <inline-formula><mml:math id="M84" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>C and <inline-formula><mml:math id="M85" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>0.005 psu).</p>
</sec>
<sec id="Ch1.S4.SS4">
  <label>4.4</label><title>Comparison with ice shelf front CTD observations</title>
      <p id="d1e1520">The differences in circulation patterns and in thermohaline properties that
result from opening the RIS and FRIS cavities documented above do not
elucidate whether or not we have reduced biases and improved the realism of
shelf waters in eORCA1. For this, a direct comparison with in situ
observations is necessary. Due to the remote location of these ice shelves
and the harsh conditions associated with obtaining hydrographic samples in
these areas, there are limited observations, and so optimally interpolated
atlases such as WOA or ocean reanalysis products like SOSE miss important
local features or seasonal variability. For comparison purposes, we have
consequently selected CTD data from research cruises that have sampled
transects across the front of the ice shelves and extracted the model data
corresponding to the approximate ship's track using PAGO, a tool to analyse
gridded ocean datasets (Deshayes et al., 2014).</p>
      <p id="d1e1523">For FRIS we use two CTD sections across the ice shelf front undertaken in
1980 and 1995 on board the RV <italic>Polarstern</italic> by the Alfred Wegener Institute
(Rohardt et al., 2016; Janout et al., 2021). The location of the section
selected in NEMO to approximately overlay the CTD transects can be seen as a
dotted magenta line in Fig. 1a. The output from NEMO corresponding to the
same months and same equivalent year (for the second cycle of CORE forcing)
in the simulation was selected for both closed-cavity (prescribed freshwater
flux) and open-cavity (FRIS, LCIS and RIS) runs. A comparison between
the CTD data and NEMO can be seen in Fig. 6a to f for January 1980 and
Fig. 6g to l for February to March 1995. In terms of surface waters, NEMO
does not capture the fine-scale horizontal variability and overestimates the
subsurface salinity. For both observational years, evidence of warm, fresh,
MCDW intrusions can be seen in the middle of the CTD sections (Central
Trough; Fig. 6a and g). While the model struggles to capture the coherence
of this subsurface temperature maximum, the anticlockwise circulation
cell set up on the central continental shelf in the open-cavity simulation
does aid the advection of MCDW towards the ice shelf, thereby producing a
slightly better representation of this warm intrusion in Fig. 6c and i.
The presence of cold ISW in Filchner Trough is clearer in the 1995 CTD data
than in 1980, where the sampling frequency was sparser and this region not
well covered. The 2018 <italic>Polarstern</italic> sampling of the Jason Trough was the
highest resolution yet, and while we cannot directly compare with the
simulation output as the CORE forcing ends in 2009, the presence of a tongue
of ISW focused on the western bank of Filchner Trough is evident in Fig. 3
of Janout et al. (2021) and so should be kept in mind for comparison.
Opening the FRIS cavity overall improves the thermohaline properties at the
ice shelf front, most notably by spreading out the pool of HSSW from the
Ronne Depression (e.g. Fig. 6k) across the continental shelf (e.g. Fig. 6l)
and by facilitating the production and thus outflow of ISW within Filchner
Trough (Fig. 6c and i).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F6" specific-use="star"><?xmltex \currentcnt{6}?><?xmltex \def\figurename{Figure}?><label>Figure 6</label><caption><p id="d1e1534">Validation of properties across the Filchner-Ronne Ice Shelf front
by comparing closed- and open-cavity NEMO results with measured values from
CTD sections performed in 1980 (Rohardt et al., 2016) and 1995 (Janout et
al., 2021). The model output for the corresponding equivalent year and month
was extracted for more accurate comparison. Bathymetric features discussed
in the text are labelled in <bold>(a)</bold>.</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f06.png"/>

        </fig>

      <p id="d1e1547">The CTD sections used for comparison along the front of RIS were obtained
through the World Ocean Circulation Experiment Database (Boyer et al., 2018)
and correspond to cruises undertaken on board the RVIB <italic>Nathaniel B. Palmer</italic>
in 2000 (cruise id: US010404; Smethie and Jacobs, 2005) and in 2007 (cruise
id: US034357). Data were extracted from the eORCA1 simulation corresponding
to the dates of these cruises and the approximate ship track across the ice
shelf front (dotted magenta line in Fig. 1b). Similar to the Weddell Sea,
the model tends to overestimate the subsurface temperature and salinity
(Fig. 7b, e, h and k), suggestive of biases in the representation of
coastal processes, including vertical mixing. This effect is somewhat
reduced by allowing for circulation under RIS, especially by decreasing
subsurface salinities (Fig. 7f and l). At depth, NEMO captures the
east–west distribution of haline properties such as the HSSW pool located
within Joides Basin, albeit with somewhat amplified salinities. In terms of
temperature, the model has a clear bias to the east, especially in the
closed-cavity run, where CDW is detected at the ice shelf front. Both the
temperature and salinity biases are reduced in the open-cavity run (e.g.
Fig. 7c and f). In particular, the significant reduction in the extent and
magnitude of the subsurface warm water intrusions brings the model more
in line with observations.</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="d1e1555">Same as Fig. 7 but for Ross Ice Shelf front for CTD sections
performed in 2000 (Smethie and Jacobs, 2005) and 2007 (Boyer et al., 2018).</p></caption>
          <?xmltex \igopts{width=384.112205pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f07.png"/>

        </fig>

      <p id="d1e1564">A recurring theme throughout the results presented here is that the model is
overall too salty, driven by what appears to be an over-production of HSSW
in the Ronne Depression and Joides Basin. One driver for this could be the
overestimated polynya activity which forms the totality of parent waters of
AABW in the absence of ice shelves in eORCA1. This can be seen in Fig. 8
where the mean winter (July–August–September) mixed-layer depths (MLDs) in
the reference run for the years 1971–2009 are compared to the climatology
from Sallée et al. (2021a) for the same time period and using the same
criteria for calculation (Fig. 8a and b; MLD defined as the depth at which
density exceeds the 10 m density by 0.03 kg m<inline-formula><mml:math id="M86" display="inline"><mml:msup><mml:mi/><mml:mrow><mml:mo>-</mml:mo><mml:mn mathvariant="normal">3</mml:mn></mml:mrow></mml:msup></mml:math></inline-formula>). The model greatly
overestimates winter MLDs in the Weddell Sea, both on the continental shelf
adjacent to FRIS, where the depth of the base of the mixed layer aligns with
bathymetric features indicating deep convection right to the ocean floor,
and offshore of the continental slope, where a large region of MLD greater
than 1000 m is present (Fig. 8c). This level of open-ocean deep convection
has in reality only once been observed, during the 1974–1976 Weddell Polynya
event near Maud Rise (3<inline-formula><mml:math id="M87" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> E, 66<inline-formula><mml:math id="M88" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> S),
indicating a gross overestimation of winter MLDs in the model (Heuzé,
2021; Killworth, 1983). Ross Sea MLDs (Fig. 8d) compare better with
observations but show values indicating a full water-column-depth
convection in Terra Nova Bay which is not reported in Sallée at al. (2021a).
Curiously, NEMO<?pagebreak page3640?> actually underestimates winter mixed layers in the eastern
portion of the Ross continental shelf showing mean MLDs of under 100 m where
the observational climatology indicates values of around 400 m (Fig. 8d
compared to Fig. 8b). This too strong a stratification could be one of the
factors facilitating the intrusion of CDW to the ice shelf front seen in
Fig. 7b and h.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F8" specific-use="star"><?xmltex \currentcnt{8}?><?xmltex \def\figurename{Figure}?><label>Figure 8</label><caption><p id="d1e1599">Winter mixed-layer depths (MLDs) from the observational atlas of Sallée
et al. (2021a), shown in <bold>(a)</bold> and <bold>(b)</bold> for the Weddell Sea and the Ross Sea
respectively, are compared with the winter mean from NEMO v4.2 eORCA1-forced
model reference configuration equivalent years 1971–2009 in <bold>(c)</bold> and <bold>(d)</bold>. The
differences in MLDs between the open-cavity run and reference closed
run are shown in <bold>(e)</bold> and <bold>(f)</bold>.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f08.jpg"/>

        </fig>

      <p id="d1e1627">The authors note that the biased MLDs could be one of a number of factors
contributing to the overly saline conditions; wrong sea ice parameters and
biases in the atmospheric forcing could also play an important (and related)
role. High sea ice production is seen on the southwest continental shelves
of the Weddell Sea and Ross Sea in the Supplement Fig. S2a and b. Opening the
cavities slightly reduces the magnitude of ice production in the Ronne
Depression (Fig. S2c) and at the location of the Terra Nova Bay polynya
(Fig. S2d) and increases the production of ice further east. There is no
overall change in the principal location of polynya activity, and the slight
west/east decrease/increase in sea ice is presumed to have a negligible
effect on the total amount of HSSW generated. As such, the reduction of the
highly saline HSSW signature seen in Figs. 2g and 3g when cavities are
opened is likely due to a conversion to ISW (and not from a decrease in HSSW
production itself). Please see the Supplement Sect. S3 for an
evaluation of simulated polynyas near the studied ice shelves and a
diagnosis of the effect of opening the cavities on ice production.</p>
      <p id="d1e1631">Once a model is able to explicitly form the parent waters of AABW in the
right locations on the continental shelf (and export this dense water), it
will become necessary for modellers to tone down open-ocean deep convection
as this workaround will be longer relied upon to form the totality of AABW.
Here we explore the impact that opening the cavities has on MLD to diagnose
the extent of vertical convection in the model. Some reduction in MLD is
seen on the continental shelf and slope in the Filchner (Fig. 8e) and
Challenger troughs (Fig. 8f) due to the increase in stratification as a
result of the greater bottom densities associated with outflowing ISW (Fig. S4a and c). The presence of ISW appears to promote slightly increased ice
production in these areas, as discussed earlier. In this case, it is
therefore the ocean properties that drive sea ice, and the brine rejection
associated with elevated ice production is found to have a minor effect on
water properties. Within the region of exaggerated MLDs off<?pagebreak page3641?> the Weddell
continental slope, the MLDs deepen in the open-cavity experiment
(positive anomalies Fig. 8e). We hypothesize that this deepening is
associated with an overall cooling of the subsurface layers due to a
horizontal mixing of ISW, unimpeded by a relatively weak and diffuse
Antarctic Slope Current (ASC; discussed in the following section). Overall, in
wintertime, mixed layers are on average 19 m deeper over the whole Weddell
Sea region in the open-cavity experiment compared to the reference
closed simulation. This reinforcement of the high MLD bias highlights
the need for work to be done on reducing wintertime deep convection,
together with better representing dense water overflows.</p>
</sec>
<sec id="Ch1.S4.SS5">
  <label>4.5</label><title>Offshore export of continental shelf properties</title>
      <p id="d1e1642">We have seen how opening the large, cold ice shelf cavities in eORCA1 leads
to a better representation of continental shelf circulation and thermohaline
property distributions. But the question remains regarding the transfer of
these now more realistic dense shelf waters downslope and offshore, to feed
the globally important AABW. While the simulation period of 124 years (two
CORE forcing cycles) is too short to explore the impact of these changes far
afield, it is sufficient to investigate the changes on the continental shelf
and slope adjacent to the large ice shelves. To do this, we use PAGO
(Deshayes et al., 2014) to select a cross section of data following the
bathymetric troughs of the Weddell Sea and the Ross Sea, which are thought to be
important for dense water export (Foldvik et al., 1985; Jacobs, 1991),
namely the Filchner and Challenger troughs (sections shown in green in Fig. 1).</p>
      <p id="d1e1645">The thermohaline cross sections of Filchner Trough and a continuation down
the continental slope can be seen in Fig. 9a and b for the open-cavity run,
and the difference between these values and the reference run (open<inline-formula><mml:math id="M89" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>closed)
is shown in Fig. 9c and d. By opening the sub-ice shelf cavity, the
properties within Filchner Trough have decreased in temperature and
increased in salinity as the candidate parent waters of AABW build up on the
continental shelf. This results in a net increase in density at the bottom
of the trough (Fig. S4b), but there is very little indication of a coherent
cascading of this water down the continental slope.</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F9" specific-use="star"><?xmltex \currentcnt{9}?><?xmltex \def\figurename{Figure}?><label>Figure 9</label><caption><p id="d1e1657">Cross section of properties along the Filchner Trough and down the
adjacent continental slope of the Weddell Sea for <bold>(a–e)</bold> NEMO and <bold>(f)</bold> SOSE.
Panels <bold>(a)</bold> and <bold>(b)</bold> show temperature and salinity for the open-cavity
configuration, to be compared to <bold>(c)</bold> and <bold>(d)</bold> which show the differences
(open<inline-formula><mml:math id="M90" display="inline"><mml:mo>-</mml:mo></mml:math></inline-formula>closed) with the reference configuration. Panel <bold>(e)</bold> shows cross-sectional velocities with westward as positive for the open-cavity run, to
be compared with SOSE values shown in <bold>(f)</bold>.</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f09.jpg"/>

        </fig>

      <p id="d1e1699">A cross section of the Challenger Trough (Fig. 10) reveals depth-varying
thermohaline changes. Opening the sub-ice shelf cavity has allowed for the
water adjacent to the ice shelf to advect into the cavity leaving the bottom
properties here slightly warmer. The layer immediately above conversely
experiences cooling and salinification due to the outflow of ISW driven by
the “ice pump” (Fig. 10c). Here we see<?pagebreak page3642?> some evidence indicating the
translation of this dense cold water tongue over the continental shelf break
and downslope (Figs. 10c and S4d). The overflow of this water results in the
pulling in of warmer offshore water at intermediate depth (Fig. 10c). A
horizontal redistribution of surface waters simultaneously takes place due
to the anti-clockwise circulation pattern (Fig. 5e), which in turn produces a
cooling and freshening in the surface layer (Fig. 10c and d).</p>

      <?xmltex \floatpos{t}?><fig id="Ch1.F10" specific-use="star"><?xmltex \currentcnt{10}?><?xmltex \def\figurename{Figure}?><label>Figure 10</label><caption><p id="d1e1704">Same as Fig. 9 but for the Challenger Trough and the Ross Sea
continental slope.
</p></caption>
          <?xmltex \igopts{width=412.564961pt}?><graphic xlink:href="https://gmd.copernicus.org/articles/16/3629/2023/gmd-16-3629-2023-f10.jpg"/>

        </fig>

      <p id="d1e1713">For both the Filchner and Challenger troughs, the downslope export of the
ISW tongue is limited due to the commonly known and acknowledged problem of
correctly capturing this overflow in a coarse <inline-formula><mml:math id="M91" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>-coordinate model (Heuzé, 2021). The aptitude of representing dense water overflows is thought to
increase with models of higher resolution, but this is difficult to achieve
in a global model for climate coupling purposes without a nested zoom
(Storkey et al., 2018; Colombo et al., 2020; Solodoch et al., 2022).</p>
      <p id="d1e1723">Another important dynamic for Antarctic shelf water realism is the ASC (red
arrows in Fig. 1) and related Antarctic Slope Front, which together restrict
the lateral mixing of offshore and shelf water masses, acting as an
effective barrier protecting the large, cold ice shelves from warm water
masses of circumpolar origin (Thompson et al., 2018). Some CDW, or a
modified version thereof, is carried within the ASC and occasionally fluxes
onshore to mix with dense shelf waters (Beadling et al., 2020; Bull et al.,
2021). This interaction between dense shelf water and CDW is important for
the formation of AABW, as the onshore flux of water replaces the dense water
transported offshore and thus sustains formation of shelf water (Thompson et
al., 2018). Figure 9e shows a velocity cross section for the Weddell Sea
shelf and slope where westward velocities are positive so as to correspond
with the direction of the ASC, and the net westward transport across the
section is 9.8 Sv (1 Sv is 10<inline-formula><mml:math id="M92" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">6</mml:mn></mml:msup></mml:math></inline-formula> m<inline-formula><mml:math id="M93" display="inline"><mml:msup><mml:mi/><mml:mn mathvariant="normal">3</mml:mn></mml:msup></mml:math></inline-formula> s<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>). This can be compared
to Fig. 9f, which is a cross section from SOSE output (same time periods
used) where the net transport is 3 times higher at 32.8 Sv. Similarly
for the Ross Sea, Fig. 10e shows a cross section of westward velocities in
eORCA1 where the volume transport is 13.3 Sv, which is less than half of that
estimated from SOSE in Fig. 10f of 20.9 Sv. As can be seen from both SOSE
cross sections, the ASC flows eastward as a narrow jet, closely following
the shelf break in the Weddell Sea and slightly further offshore in the Ross
Sea. It is well known that coarse-resolution models are unable to correctly
represent the ASC as a resolution of at least 0.5<inline-formula><mml:math id="M95" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> is needed to
capture the dynamics and net transport (Mathiot et al., 2011). The absence
of realistic ASC in NEMO eORCA1 (Figs. 9e and 10e) has important
consequences, as a weaker and more diffuse ASC allows for a greater level of
onshore–offshore exchange of water masses.<?pagebreak page3644?> This is one important restriction
that needs to be kept in mind when using this coarse-resolution
configuration for process studies in the area.</p>
</sec>
</sec>
<sec id="Ch1.S5">
  <label>5</label><title>Summary and discussion</title>
      <p id="d1e1775">Explicitly representing ocean–ice shelf interactions is of great interest to
modellers as these processes play an important role in global ocean dynamics,
climate and future sea level rise. The formation of dense shelf waters (HSSW
and ISW) along the Antarctic coastline provides the principal source for
AABW, which in turn facilitates the ventilation of the deep ocean and
constitutes the lower limb of the global overturning circulation (Killworth,
1983; Johnson, 2008; Orsi, 2010).</p>
      <p id="d1e1778">Our results focus on the Weddell Sea and the Ross Sea as they are respectively the
main ventilation source of the abyssal Atlantic and Indian basins and the
abyssal Pacific basin (Solodoch et al., 2022). Explicitly simulating the
sub-ice shelf cavities of FRIS and LCIS in the Weddell Sea leads to a
re-organization of continental shelf circulation with thermohaline patterns
in agreement with those reported by other NEMO model studies (Mathiot et
al., 2017; Storkey et al., 2018 and Bull et al., 2021), namely warming and
freshening in the west and cooling and salinification in the east. Notably,
opening a pathway for HSSW under FRIS allows for an anticlockwise
circulation of water under the ice shelf, triggering basal melt and
re-freezing and producing the super-cold ISW.</p>
      <p id="d1e1781">By comparing model output with two CTD sections performed across the front
of FRIS in 1980 and 1995 (Rohardt et al., 2016; Janout et al., 2021), we see
clear evidence of an improvement in the realism of water properties with the
opening of the sub-ice shelf cavity. Similarly in the Ross Sea, an
anticlockwise sub-ice shelf cavity circulation cell facilitates<?pagebreak page3645?> the spread
of HSSW across the continental shelf, and ocean–ice shelf interactions create
a cold ISW plume to the east of Roosevelt Island. By evaluating the model
output against CTD sections performed in 2000 and 2007 (Smethie and Jacobs,
2005; Boyer et al., 2018), we see that opening the cavity significantly
ameliorates the subsurface warm water bias otherwise seen to the east of
RIS in the reference configuration and brings a significant improvement in
the horizontal thermohaline distributions.</p>
      <p id="d1e1784">The mean total melt fluxes of FRIS, LCIS and RIS are found to be within the
uncertainty range of observational estimates and other model studies.
Notably, the melt rate pattern of FRIS agrees surprisingly well with the
high-resolution regional model of Hausmann et al. (2020) and the satellite
observations of Rignot et al. (2013), showing details of melt and refreezing
that were not expected at a 1<inline-formula><mml:math id="M96" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula> resolution, although the meanders
of the grounding line are not well represented at 1<inline-formula><mml:math id="M97" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>. For RIS,
the net melt is higher than all observed estimates but lower than that
predicted by other model studies. RIS melt rates are strongly related to the
supply of warm water to the ice shelf base (Arzeno et al., 2014), and
correctly representing this in models presents a challenge due to the close
proximity of CDW to the ice shelf front in this area.</p>
      <p id="d1e1806">Meltwater and modified HSSW mix on the continental shelves of the Weddell
Sea and Ross Sea and in reality cascade down the continental slope, mixing with
ambient water masses during the descent, to eventually feed AABW. This
process is poorly represented in NEMO eORCA1, a common problem with coarse
<inline-formula><mml:math id="M98" display="inline"><mml:mi>z</mml:mi></mml:math></inline-formula>-coordinate models, as exaggerated vertical and horizontal mixing erodes
the signatures of the dense overflow tongue. As mentioned by Storkey et al. (2018), the use of a terrain following coordinate system (known as sigma
coordinate) can greatly improve the representation of these density
currents and so is something worth exploring in the future. Improvement in
the representation of the overflows along with a reduction of open-ocean
deep convection should together allow for a coherent communication of the
now more realistic properties of dense water on the continental shelf
offshore to AABW.</p>
</sec>
<sec id="Ch1.S6" sec-type="conclusions">
  <label>6</label><title>Conclusions</title>
      <p id="d1e1824">In this paper the authors focus on improving the properties of AABW parent
waters in a global NEMO configuration. We compare the model simulations with
in situ observations, in addition to gridded climatologies, so as to deepen
understanding and expertise regarding the impact of opening sub-ice shelf
cavities on ocean dynamics. As ocean models used for climate simulations
with multiple scenarios (such as CMIP) need to be at a coarse resolution to
permit long integrations, we use the NEMO global ocean 1<inline-formula><mml:math id="M99" display="inline"><mml:msup><mml:mi/><mml:mo>∘</mml:mo></mml:msup></mml:math></inline-formula>
configuration, eORCA1, here. The results presented are for CORE inter-annual
forcing, with a fixed cavity geometry, as this allows us to clearly identify
the impact of ocean–ice shelf interactions at a few critical locations
without the obscuring effect of coupling feedbacks. We present here a
validated configuration of NEMO 4.2 eORCA1 with explicit ocean–ice shelf
interactions only within the largest three cold cavities: FRIS, LCIS and RIS.
Limitations of this choice are that together FRIS, LCIS and RIS only
represent 63 % of the total area of Antarctic ice shelves, and, while they
are responsible for the formation of the majority of the parent waters of
AABW, interactions with remote unresolved ice shelves are missing (Nakayama
et al., 2020). The next steps in terms of increasing complexity in NEMO
eORCA1 are to open other intermediate size cavities, such as Amery,
Riiser-Larsen and Fimbul, in a fixed geometry configuration, and leave
smaller cavities parameterized due to resolution constraints. As the
residence time needed to flush these intermediate cavities is shorter than
for FRIS and RIS, we suggest that the complex initialization methods
presented here are not needed. This work is aimed at building understanding
so as to eventually move to coupling with an ice sheet model, thereby
allowing for fully evolving cavity geometry and iceberg calving from the ice
shelf front.</p>
      <p id="d1e1836">Given the critical role that the Southern Ocean plays in regulating global
climate, it is paramount that ocean models work towards improving the
representation of key processes in order to provide state-of-the-art
simulations of the ocean in a changing climate (Beadling et al., 2020). The
global configuration of NEMO presented here has been proven to improve the
realism of water masses in the Weddell Sea and the Ross Sea. We advocate for
climate modellers to use it, as it enables a more accurate representation of
the formation of the parent waters of AABW, and it is a first step in the
perspective of representing ocean–ice shelf interactions in climate
applications.</p>
</sec>

      
      </body>
    <back><notes notes-type="codedataavailability"><title>Code and data availability</title>

      <p id="d1e1843">The NEMO ocean model code is available via an open software license from the
NEMO website (<uri>https://www.nemo-ocean.eu</uri>, last access: February 2021). The NEMO output for
the Weddell Sea and the Ross Sea (focus of this study), as well as the namelists used,
bathymetry, ice shelf draft, freshwater input and initial condition files,
is available via the data repository stored at
<ext-link xlink:href="https://doi.org/10.5281/zenodo.7561767" ext-link-type="DOI">10.5281/zenodo.7561767</ext-link> (Hutchinson et al., 2023). Some example scripts for data
extraction, calculations and plotting can also be found in this repository.
The World Ocean Atlas hydrographic data of Locarnini et al. (2019) and Zweng
et al. (2019) can be found at <uri>https://www.nodc.noaa.gov/OC5/woa18/woa18data.html</uri> (last access: February 2021) and Southern Ocean
State Estimate data of Mazloff et al. (2010) can be accessed at
<uri>http://sose.ucsd.edu/sose_stateestimation_data_05to10.html</uri>. The mixed-layer-depth data from Sallée et al. (2021b) can be accessed at <ext-link xlink:href="https://doi.org/10.5281/zenodo.5776180" ext-link-type="DOI">10.5281/zenodo.5776180</ext-link>. The CTD transects used for
comparisons across the ice shelf front for FRIS 1980 and 1995 can be
respectively found at <ext-link xlink:href="https://doi.org/10.1594/PANGAEA.860066" ext-link-type="DOI">10.1594/PANGAEA.860066</ext-link> (Rohardt et al., 2016)
and here <uri>https://folk.uib.no/ngfso/Data/CTD/</uri> (last access:  January 2022). The RIS CTD data
from the 2000 (US010402) and 2007 (US034357) RVIB <italic>Nathaniel B. Palmer</italic>
cruises are<?pagebreak page3646?> available from the World Ocean Database at <uri>https://www.nodc.noaa.gov/OC5/WOD/pr_wod.html</uri> (Boyer et al., 2018). The PAGO
toolbox used to extract model output along a line in front of the ice shelf
from Deshayes et al. (2014) can be accessed at <uri>https://www.whoi.edu/science/PO/pago/</uri>.</p>
  </notes><app-group>
        <supplementary-material position="anchor"><p id="d1e1877">The supplement related to this article is available online at: <inline-supplementary-material xlink:href="https://doi.org/10.5194/gmd-16-3629-2023-supplement" xlink:title="pdf">https://doi.org/10.5194/gmd-16-3629-2023-supplement</inline-supplementary-material>.</p></supplementary-material>
        </app-group><notes notes-type="authorcontribution"><title>Author contributions</title>

      <p id="d1e1886">KH, JD and PM together contributed to the conceptualization of the research
outlined in this paper. KH led the formal analysis and investigation
with the assistance of JD, CR, CdL, NCJ and PM. MV led the sea ice research
component with assistance from CR and CdL. Validation of the model was
undertaken by KH with PM. CE led the programming and code management and
supervised all the model runs undertaken by KH. The project was supervised
by JD and NCJ, providing guidance and critical feedback. The whole group
contributed to the writing and review of the submitted manuscript.</p>
  </notes><notes notes-type="competinginterests"><title>Competing interests</title>

      <p id="d1e1892">The contact author has declared that none of the authors has any competing interests.</p>
  </notes><notes notes-type="disclaimer"><title>Disclaimer</title>

      <p id="d1e1898">Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.</p>
  </notes><ack><title>Acknowledgements</title><p id="d1e1904">Katherine Hutchinson received financial support of the European Union's
Horizon 2020 Research and Innovation programme Marie Skłodowska-Curie
grant agreement no. 898058 (Project OPEN). Nicolas Jourdain received support
from the European Union's Horizon 2020 Research and Innovation programme
under grant agreement no. 101003536 (ESM2025). Pierre Mathiot acknowledges
support from the European Union's Horizon 2020 Research and Innovation
programme under grant agreement no. 820575 (TiPACCs). This work was
performed using high-performance computing (HPC) resources from GENCI–IDRIS (grant 2021-A0100107451)
and from the IPSL Mesocentre ESPRI.</p></ack><notes notes-type="financialsupport"><title>Financial support</title>

      <p id="d1e1909">This research has been supported by the H2020 European Research Council (grant nos. 898058, 101003536, and 820575) and the Grand Équipement National De Calcul Intensif (grant no. A0100107451).</p>
  </notes><notes notes-type="reviewstatement"><title>Review statement</title>

      <p id="d1e1916">This paper was edited by Riccardo Farneti and reviewed by Xylar Asay-Davis and one anonymous referee.</p>
  </notes><ref-list>
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