An unstructured C-grid type variational formulation for the sea ice dynamics
Historically, B-grid formulations of sea ice dynamics have been dominant because they have matched the grid type used by ocean models. The reason for the grid match is simple – it facilitates penetration of the curl of ice-ocean stress into the deep ocean with minimal numerical diffusivity because s...
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ftosti:oai:osti.gov:1836957 2023-07-30T04:06:44+02:00 An unstructured C-grid type variational formulation for the sea ice dynamics Capodaglio, Giacomo Petersen, Mark Roger Turner, Adrian Keith Roberts, Andrew Frank 2023-02-23 application/pdf http://www.osti.gov/servlets/purl/1836957 https://www.osti.gov/biblio/1836957 https://doi.org/10.2172/1836957 unknown http://www.osti.gov/servlets/purl/1836957 https://www.osti.gov/biblio/1836957 https://doi.org/10.2172/1836957 doi:10.2172/1836957 58 GEOSCIENCES 97 MATHEMATICS AND COMPUTING 2023 ftosti https://doi.org/10.2172/1836957 2023-07-11T10:09:09Z Historically, B-grid formulations of sea ice dynamics have been dominant because they have matched the grid type used by ocean models. The reason for the grid match is simple – it facilitates penetration of the curl of ice-ocean stress into the deep ocean with minimal numerical diffusivity because sea ice and ocean velocity are co-located. In recent years, as ocean models have increasingly progressed to C-grids, sea ice models have followed suit on quadrilateral meshes, but the implementation of an unstructured C-grid sea ice models is new. We present an unstructured C-grid discretization of the Elastic Viscous Plastic (EVP) rheology, where the velocity unknowns are discretized at the edges of the mesh cells with n-sides, where typically n is greater than or equal to four, rather than at the vertices, as in the B-grid. Our framework of choice is the Model for Prediction Across Scales (MPAS) within E3SM, the climate model of the U.S. Department of Energy, although our approach is general and could be applied to other models as well. While MPAS-Seaice is currently defined on a B-grid, MPAS-Ocean runs on a C-grid, hence interpolation operators are heavily used when coupled simulations are performed. In this work, we describe a mathematical formulation to transition the dynamics of MPAS-Seaice to a C-grid, in order to ultimately facilitate the coupling with MPAS-Ocean and reduce numerical errors associated with this communication. Numerical results are reported to highlight the features of the method. Other/Unknown Material Sea ice SciTec Connect (Office of Scientific and Technical Information - OSTI, U.S. Department of Energy) Curl ENVELOPE(-63.071,-63.071,-70.797,-70.797) |
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SciTec Connect (Office of Scientific and Technical Information - OSTI, U.S. Department of Energy) |
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58 GEOSCIENCES 97 MATHEMATICS AND COMPUTING |
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58 GEOSCIENCES 97 MATHEMATICS AND COMPUTING Capodaglio, Giacomo Petersen, Mark Roger Turner, Adrian Keith Roberts, Andrew Frank An unstructured C-grid type variational formulation for the sea ice dynamics |
topic_facet |
58 GEOSCIENCES 97 MATHEMATICS AND COMPUTING |
description |
Historically, B-grid formulations of sea ice dynamics have been dominant because they have matched the grid type used by ocean models. The reason for the grid match is simple – it facilitates penetration of the curl of ice-ocean stress into the deep ocean with minimal numerical diffusivity because sea ice and ocean velocity are co-located. In recent years, as ocean models have increasingly progressed to C-grids, sea ice models have followed suit on quadrilateral meshes, but the implementation of an unstructured C-grid sea ice models is new. We present an unstructured C-grid discretization of the Elastic Viscous Plastic (EVP) rheology, where the velocity unknowns are discretized at the edges of the mesh cells with n-sides, where typically n is greater than or equal to four, rather than at the vertices, as in the B-grid. Our framework of choice is the Model for Prediction Across Scales (MPAS) within E3SM, the climate model of the U.S. Department of Energy, although our approach is general and could be applied to other models as well. While MPAS-Seaice is currently defined on a B-grid, MPAS-Ocean runs on a C-grid, hence interpolation operators are heavily used when coupled simulations are performed. In this work, we describe a mathematical formulation to transition the dynamics of MPAS-Seaice to a C-grid, in order to ultimately facilitate the coupling with MPAS-Ocean and reduce numerical errors associated with this communication. Numerical results are reported to highlight the features of the method. |
author |
Capodaglio, Giacomo Petersen, Mark Roger Turner, Adrian Keith Roberts, Andrew Frank |
author_facet |
Capodaglio, Giacomo Petersen, Mark Roger Turner, Adrian Keith Roberts, Andrew Frank |
author_sort |
Capodaglio, Giacomo |
title |
An unstructured C-grid type variational formulation for the sea ice dynamics |
title_short |
An unstructured C-grid type variational formulation for the sea ice dynamics |
title_full |
An unstructured C-grid type variational formulation for the sea ice dynamics |
title_fullStr |
An unstructured C-grid type variational formulation for the sea ice dynamics |
title_full_unstemmed |
An unstructured C-grid type variational formulation for the sea ice dynamics |
title_sort |
unstructured c-grid type variational formulation for the sea ice dynamics |
publishDate |
2023 |
url |
http://www.osti.gov/servlets/purl/1836957 https://www.osti.gov/biblio/1836957 https://doi.org/10.2172/1836957 |
long_lat |
ENVELOPE(-63.071,-63.071,-70.797,-70.797) |
geographic |
Curl |
geographic_facet |
Curl |
genre |
Sea ice |
genre_facet |
Sea ice |
op_relation |
http://www.osti.gov/servlets/purl/1836957 https://www.osti.gov/biblio/1836957 https://doi.org/10.2172/1836957 doi:10.2172/1836957 |
op_doi |
https://doi.org/10.2172/1836957 |
_version_ |
1772819603339083776 |