On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models

In this article we propose two grid generation methods for global ocean general circulation models. Contrary to conventional dipolar or tripolar grids, the proposed methods are based on Schwarz–Christoffel conformal mappings that map areas with user-prescribed, irregular boundaries to those with reg...

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Main Authors: S. Xu, B. Wang, J. Liu
Format: Article
Language:English
Published: Copernicus Publications 2015-10-01
Series:Geoscientific Model Development
Online Access:http://www.geosci-model-dev.net/8/3471/2015/gmd-8-3471-2015.pdf
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spelling doaj-c699d1cf74964eb9ace4ff414a9dca5f2020-11-24T20:48:20ZengCopernicus PublicationsGeoscientific Model Development1991-959X1991-96032015-10-018103471348510.5194/gmd-8-3471-2015On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean modelsS. Xu0B. Wang1J. Liu2Ministry of Education Key Laboratory for Earth System Modeling, Center for Earth System Science (CESS), Tsinghua University, Beijing, ChinaMinistry of Education Key Laboratory for Earth System Modeling, Center for Earth System Science (CESS), Tsinghua University, Beijing, ChinaState Key Laboratory of Numerical Modeling for Atmospheric Sciences and Geophysical Fluid Dynamics (LASG), Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, ChinaIn this article we propose two grid generation methods for global ocean general circulation models. Contrary to conventional dipolar or tripolar grids, the proposed methods are based on Schwarz–Christoffel conformal mappings that map areas with user-prescribed, irregular boundaries to those with regular boundaries (i.e., disks, slits, etc.). The first method aims at improving existing dipolar grids. Compared with existing grids, the sample grid achieves a better trade-off between the enlargement of the latitudinal–longitudinal portion and the overall smooth grid cell size transition. The second method addresses more modern and advanced grid design requirements arising from high-resolution and multi-scale ocean modeling. The generated grids could potentially achieve the alignment of grid lines to the large-scale coastlines, enhanced spatial resolution in coastal regions, and easier computational load balance. Since the grids are orthogonal curvilinear, they can be easily utilized by the majority of ocean general circulation models that are based on finite difference and require grid orthogonality. The proposed grid generation algorithms can also be applied to the grid generation for regional ocean modeling where complex land–sea distribution is present.http://www.geosci-model-dev.net/8/3471/2015/gmd-8-3471-2015.pdf
collection DOAJ
language English
format Article
sources DOAJ
author S. Xu
B. Wang
J. Liu
spellingShingle S. Xu
B. Wang
J. Liu
On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
Geoscientific Model Development
author_facet S. Xu
B. Wang
J. Liu
author_sort S. Xu
title On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
title_short On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
title_full On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
title_fullStr On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
title_full_unstemmed On the use of Schwarz–Christoffel conformal mappings to the grid generation for global ocean models
title_sort on the use of schwarz–christoffel conformal mappings to the grid generation for global ocean models
publisher Copernicus Publications
series Geoscientific Model Development
issn 1991-959X
1991-9603
publishDate 2015-10-01
description In this article we propose two grid generation methods for global ocean general circulation models. Contrary to conventional dipolar or tripolar grids, the proposed methods are based on Schwarz–Christoffel conformal mappings that map areas with user-prescribed, irregular boundaries to those with regular boundaries (i.e., disks, slits, etc.). The first method aims at improving existing dipolar grids. Compared with existing grids, the sample grid achieves a better trade-off between the enlargement of the latitudinal–longitudinal portion and the overall smooth grid cell size transition. The second method addresses more modern and advanced grid design requirements arising from high-resolution and multi-scale ocean modeling. The generated grids could potentially achieve the alignment of grid lines to the large-scale coastlines, enhanced spatial resolution in coastal regions, and easier computational load balance. Since the grids are orthogonal curvilinear, they can be easily utilized by the majority of ocean general circulation models that are based on finite difference and require grid orthogonality. The proposed grid generation algorithms can also be applied to the grid generation for regional ocean modeling where complex land–sea distribution is present.
url http://www.geosci-model-dev.net/8/3471/2015/gmd-8-3471-2015.pdf
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