Articles | Volume 10, issue 2
https://doi.org/10.5194/gmd-10-977-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
https://doi.org/10.5194/gmd-10-977-2017
© Author(s) 2017. This work is distributed under
the Creative Commons Attribution 3.0 License.
the Creative Commons Attribution 3.0 License.
On the numerical stability of surface–atmosphere coupling in weather and climate models
Anton Beljaars
CORRESPONDING AUTHOR
European Centre for Medium-Range Weather Forecasts, Shinfield Park,
Reading, RG2 9AX, UK
Emanuel Dutra
European Centre for Medium-Range Weather Forecasts, Shinfield Park,
Reading, RG2 9AX, UK
Instituto Dom Luiz, Faculdade de Ciências,
Universidade de Lisboa, 1749-016 Lisbon, Portugal
Gianpaolo Balsamo
European Centre for Medium-Range Weather Forecasts, Shinfield Park,
Reading, RG2 9AX, UK
Florian Lemarié
Inria, Univ. Grenoble Alpes, CNRS, LJK, Grenoble 38000, France
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Cited
18 citations as recorded by crossref.
- Discrete mass conservation and stability analysis of the ocean-atmosphere model with coupling conditions T. Munir et al. 10.1016/j.joes.2022.02.002
- A simplified atmospheric boundary layer model for an improved representation of air–sea interactions in eddying oceanic models: implementation and first evaluation in NEMO (4.0) F. Lemarié et al. 10.5194/gmd-14-543-2021
- On the implementation and consequences of the oceanic currents feedback in ocean–atmosphere coupled models L. Renault et al. 10.1016/j.ocemod.2019.101423
- Sensitivity analysis and metamodels for the bulk parametrization of turbulent air–sea fluxes C. Pelletier et al. 10.1002/qj.3233
- Impact of a Multi‐Layer Snow Scheme on Near‐Surface Weather Forecasts G. Arduini et al. 10.1029/2019MS001725
- Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction M. Aggul & S. Kaya 10.1016/j.apnum.2020.10.004
- Quantifying and attributing time step sensitivities in present-day climate simulations conducted with EAMv1 H. Wan et al. 10.5194/gmd-14-1921-2021
- Analysis of Schwarz waveform relaxation for the coupled Ekman boundary layer problem with continuously variable coefficients S. Thery et al. 10.1007/s11075-021-01149-y
- Stability Analysis of Interface Conditions for Ocean–Atmosphere Coupling H. Zhang et al. 10.1007/s10915-020-01293-y
- Strategies for conservative and non-conservative monotone remapping on the sphere D. Marsico & P. Ullrich 10.5194/gmd-16-1537-2023
- Impact of Physics Parameterization Ordering in a Global Atmosphere Model A. Donahue & P. Caldwell 10.1002/2017MS001067
- Advancing Dynamical Cores of Oceanic Models across All Scales F. Lemarié et al. 10.1175/BAMS-D-18-0303.1
- Mass-conserving implicit–explicit methods for coupled compressible Navier–Stokes equations S. Kang et al. 10.1016/j.cma.2021.113988
- Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition H. Zhang et al. 10.1007/s10915-022-01983-9
- The Numerics of Physical Parametrization in the ECMWF Model A. Beljaars et al. 10.3389/feart.2018.00137
- Measuring the Impact of a New Snow Model Using Surface Energy Budget Process Relationships J. Day et al. 10.1029/2020MS002144
- Improving climate model coupling through a complete mesh representation: a case study with E3SM (v1) and MOAB (v5.x) V. Mahadevan et al. 10.5194/gmd-13-2355-2020
- A Scalable Semi‐Implicit Barotropic Mode Solver for the MPAS‐Ocean H. Kang et al. 10.1029/2020MS002238
18 citations as recorded by crossref.
- Discrete mass conservation and stability analysis of the ocean-atmosphere model with coupling conditions T. Munir et al. 10.1016/j.joes.2022.02.002
- A simplified atmospheric boundary layer model for an improved representation of air–sea interactions in eddying oceanic models: implementation and first evaluation in NEMO (4.0) F. Lemarié et al. 10.5194/gmd-14-543-2021
- On the implementation and consequences of the oceanic currents feedback in ocean–atmosphere coupled models L. Renault et al. 10.1016/j.ocemod.2019.101423
- Sensitivity analysis and metamodels for the bulk parametrization of turbulent air–sea fluxes C. Pelletier et al. 10.1002/qj.3233
- Impact of a Multi‐Layer Snow Scheme on Near‐Surface Weather Forecasts G. Arduini et al. 10.1029/2019MS001725
- Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction M. Aggul & S. Kaya 10.1016/j.apnum.2020.10.004
- Quantifying and attributing time step sensitivities in present-day climate simulations conducted with EAMv1 H. Wan et al. 10.5194/gmd-14-1921-2021
- Analysis of Schwarz waveform relaxation for the coupled Ekman boundary layer problem with continuously variable coefficients S. Thery et al. 10.1007/s11075-021-01149-y
- Stability Analysis of Interface Conditions for Ocean–Atmosphere Coupling H. Zhang et al. 10.1007/s10915-020-01293-y
- Strategies for conservative and non-conservative monotone remapping on the sphere D. Marsico & P. Ullrich 10.5194/gmd-16-1537-2023
- Impact of Physics Parameterization Ordering in a Global Atmosphere Model A. Donahue & P. Caldwell 10.1002/2017MS001067
- Advancing Dynamical Cores of Oceanic Models across All Scales F. Lemarié et al. 10.1175/BAMS-D-18-0303.1
- Mass-conserving implicit–explicit methods for coupled compressible Navier–Stokes equations S. Kang et al. 10.1016/j.cma.2021.113988
- Stability Analysis of Coupled Advection-Diffusion Models with Bulk Interface Condition H. Zhang et al. 10.1007/s10915-022-01983-9
- The Numerics of Physical Parametrization in the ECMWF Model A. Beljaars et al. 10.3389/feart.2018.00137
- Measuring the Impact of a New Snow Model Using Surface Energy Budget Process Relationships J. Day et al. 10.1029/2020MS002144
- Improving climate model coupling through a complete mesh representation: a case study with E3SM (v1) and MOAB (v5.x) V. Mahadevan et al. 10.5194/gmd-13-2355-2020
- A Scalable Semi‐Implicit Barotropic Mode Solver for the MPAS‐Ocean H. Kang et al. 10.1029/2020MS002238
Saved (preprint)
Latest update: 15 Nov 2024
Short summary
Coupling an atmospheric model with snow and sea ice modules presents numerical stability challenges in integrations with long time steps as commonly used for weather prediction and climate simulations. Explicit flux coupling is often applied for simplicity. In this paper a simple method is presented to stabilize the coupling without having to introduce fully implicit coupling. A formal stability analysis confirms that the method is unconditionally stable.
Coupling an atmospheric model with snow and sea ice modules presents numerical stability...