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...

Full description

Bibliographic Details
Main Authors: Capodaglio, Giacomo, Petersen, Mark Roger, Turner, Adrian Keith, Roberts, Andrew Frank
Language:unknown
Published: 2023
Subjects:
Online Access:http://www.osti.gov/servlets/purl/1836957
https://www.osti.gov/biblio/1836957
https://doi.org/10.2172/1836957
id ftosti:oai:osti.gov:1836957
record_format openpolar
spelling 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)
institution Open Polar
collection SciTec Connect (Office of Scientific and Technical Information - OSTI, U.S. Department of Energy)
op_collection_id ftosti
language unknown
topic 58 GEOSCIENCES
97 MATHEMATICS AND COMPUTING
spellingShingle 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