Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid

Abstract This study conducts an analysis of the polar numerical noise in the barotropic shallow‐water version of the Grid‐point Atmospheric Model of IAP LASG (GAMIL‐SW) and provides a good solution to the problem. GAMIL‐SW suffers from numerical noise in the polar region in some ideal test cases, wh...

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Autores principales:	Jianghao Li, Bin Wang, Li Dong
Formato:	article
Lenguaje:	EN
Publicado:	American Geophysical Union (AGU) 2020
Materias:	Physical geography GB3-5030 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/a278d597fe53459599fde6266571e084
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spelling	oai:doaj.org-article:a278d597fe53459599fde6266571e0842021-11-15T14:20:27ZAnalysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid1942-246610.1029/2020MS002047https://doaj.org/article/a278d597fe53459599fde6266571e0842020-08-01T00:00:00Zhttps://doi.org/10.1029/2020MS002047https://doaj.org/toc/1942-2466Abstract This study conducts an analysis of the polar numerical noise in the barotropic shallow‐water version of the Grid‐point Atmospheric Model of IAP LASG (GAMIL‐SW) and provides a good solution to the problem. GAMIL‐SW suffers from numerical noise in the polar region in some ideal test cases, which is likely to be detrimental to the full physical model. The noise is suspected to be related to the nonlinear advection term in the momentum equation. Thus, a new shallow‐water model with a vector‐invariant form of the momentum equation is developed on the latitude‐longitude grid to analyze the polar noise. It is found that the version with meridional wind component staggered on the pole is free from noise, while the version with zonal wind component staggered on the pole is still contaminated. By redefining the polar relative vorticity, the polar noise is eliminated in the latter version, and the global conservation properties are maintained. In addition, the test cases demonstrate that the new shallow‐water model maintains the properties of the original GAMIL‐SW with respect to numerical accuracy and computational stability. This study helps to identify appropriate governing equations to further develop the next generation of GAMIL dynamical core.Jianghao LiBin WangLi DongAmerican Geophysical Union (AGU)articlePhysical geographyGB3-5030OceanographyGC1-1581ENJournal of Advances in Modeling Earth Systems, Vol 12, Iss 8, Pp n/a-n/a (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physical geography GB3-5030 Oceanography GC1-1581
spellingShingle	Physical geography GB3-5030 Oceanography GC1-1581 Jianghao Li Bin Wang Li Dong Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
description	Abstract This study conducts an analysis of the polar numerical noise in the barotropic shallow‐water version of the Grid‐point Atmospheric Model of IAP LASG (GAMIL‐SW) and provides a good solution to the problem. GAMIL‐SW suffers from numerical noise in the polar region in some ideal test cases, which is likely to be detrimental to the full physical model. The noise is suspected to be related to the nonlinear advection term in the momentum equation. Thus, a new shallow‐water model with a vector‐invariant form of the momentum equation is developed on the latitude‐longitude grid to analyze the polar noise. It is found that the version with meridional wind component staggered on the pole is free from noise, while the version with zonal wind component staggered on the pole is still contaminated. By redefining the polar relative vorticity, the polar noise is eliminated in the latter version, and the global conservation properties are maintained. In addition, the test cases demonstrate that the new shallow‐water model maintains the properties of the original GAMIL‐SW with respect to numerical accuracy and computational stability. This study helps to identify appropriate governing equations to further develop the next generation of GAMIL dynamical core.
format	article
author	Jianghao Li Bin Wang Li Dong
author_facet	Jianghao Li Bin Wang Li Dong
author_sort	Jianghao Li
title	Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
title_short	Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
title_full	Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
title_fullStr	Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
title_full_unstemmed	Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid
title_sort	analysis of and solution to the polar numerical noise within the shallow‐water model on the latitude‐longitude grid
publisher	American Geophysical Union (AGU)
publishDate	2020
url	https://doaj.org/article/a278d597fe53459599fde6266571e084
work_keys_str_mv	AT jianghaoli analysisofandsolutiontothepolarnumericalnoisewithintheshallowwatermodelonthelatitudelongitudegrid AT binwang analysisofandsolutiontothepolarnumericalnoisewithintheshallowwatermodelonthelatitudelongitudegrid AT lidong analysisofandsolutiontothepolarnumericalnoisewithintheshallowwatermodelonthelatitudelongitudegrid
_version_	1718428393449455616

Analysis of and Solution to the Polar Numerical Noise Within the Shallow‐Water Model on the Latitude‐Longitude Grid

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