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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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 |
work_keys_str_mv |
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1716808091609071616 |