A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids
Ocean modeling and simulation are important for understanding the dynamic processes in the geophysical system, and the simulation of tidal dynamics is of great significance for understanding the dynamic evolution of the ocean. However, there are some problems in existing simulations, including lack...
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2021
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ftdoajarticles:oai:doaj.org/article:725976e3722747fa9dd1c21cc6af7ef8 2023-05-15T15:13:10+02:00 A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids Fuqiang Lu Milan Konecny Min Chen Tomas Reznik 2021-09-01T00:00:00Z https://doi.org/10.3390/w13192670 https://doaj.org/article/725976e3722747fa9dd1c21cc6af7ef8 EN eng MDPI AG https://www.mdpi.com/2073-4441/13/19/2670 https://doaj.org/toc/2073-4441 doi:10.3390/w13192670 2073-4441 https://doaj.org/article/725976e3722747fa9dd1c21cc6af7ef8 Water, Vol 13, Iss 2670, p 2670 (2021) barotropic tide model rotated spherical longitude-latitude grids finite volume method staggered C grid Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 article 2021 ftdoajarticles https://doi.org/10.3390/w13192670 2022-12-31T13:00:37Z Ocean modeling and simulation are important for understanding the dynamic processes in the geophysical system, and the simulation of tidal dynamics is of great significance for understanding the dynamic evolution of the ocean. However, there are some problems in existing simulations, including lack of specific standards to produce a desirable discrete spherical mesh for global ocean modelling. Many global ocean numerical models based on conventional longitude-latitude (LL) coordinates suffer from the “pole problem” in regions adjacent to the North Pole due to the convergence of meridians, which seriously hinders global ocean simulations. In this paper, a new longitude-latitude spherical grid coupled with rotated coordinate mapping is proposed to overcome the problem. In the design of the numerical model, for spatial approximation, the finite volume method on staggered C grid is proposed to solve the two-dimensional tidal wave equations for the global ocean. For temporal integration, the third-order Adams-Bashforth method is used to explicitly extrapolate the value on the next time interval half layer, and then the fourth-order implicit Adams-Moulton method is used to correct the water level. Finally, the constructed model is used to simulate the dynamics of two-dimensional tidal waves in the global ocean, and the co-tidal maps of two major diurnal tide and semidiurnal tide components are shown. The results demonstrate that the proposed model can support the simulation of tidal dynamics in the global ocean, especially for the Arctic Ocean. Article in Journal/Newspaper Arctic Arctic Ocean North Pole Directory of Open Access Journals: DOAJ Articles Arctic Arctic Ocean North Pole Water 13 19 2670 |
institution |
Open Polar |
collection |
Directory of Open Access Journals: DOAJ Articles |
op_collection_id |
ftdoajarticles |
language |
English |
topic |
barotropic tide model rotated spherical longitude-latitude grids finite volume method staggered C grid Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 |
spellingShingle |
barotropic tide model rotated spherical longitude-latitude grids finite volume method staggered C grid Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 Fuqiang Lu Milan Konecny Min Chen Tomas Reznik A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
topic_facet |
barotropic tide model rotated spherical longitude-latitude grids finite volume method staggered C grid Hydraulic engineering TC1-978 Water supply for domestic and industrial purposes TD201-500 |
description |
Ocean modeling and simulation are important for understanding the dynamic processes in the geophysical system, and the simulation of tidal dynamics is of great significance for understanding the dynamic evolution of the ocean. However, there are some problems in existing simulations, including lack of specific standards to produce a desirable discrete spherical mesh for global ocean modelling. Many global ocean numerical models based on conventional longitude-latitude (LL) coordinates suffer from the “pole problem” in regions adjacent to the North Pole due to the convergence of meridians, which seriously hinders global ocean simulations. In this paper, a new longitude-latitude spherical grid coupled with rotated coordinate mapping is proposed to overcome the problem. In the design of the numerical model, for spatial approximation, the finite volume method on staggered C grid is proposed to solve the two-dimensional tidal wave equations for the global ocean. For temporal integration, the third-order Adams-Bashforth method is used to explicitly extrapolate the value on the next time interval half layer, and then the fourth-order implicit Adams-Moulton method is used to correct the water level. Finally, the constructed model is used to simulate the dynamics of two-dimensional tidal waves in the global ocean, and the co-tidal maps of two major diurnal tide and semidiurnal tide components are shown. The results demonstrate that the proposed model can support the simulation of tidal dynamics in the global ocean, especially for the Arctic Ocean. |
format |
Article in Journal/Newspaper |
author |
Fuqiang Lu Milan Konecny Min Chen Tomas Reznik |
author_facet |
Fuqiang Lu Milan Konecny Min Chen Tomas Reznik |
author_sort |
Fuqiang Lu |
title |
A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
title_short |
A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
title_full |
A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
title_fullStr |
A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
title_full_unstemmed |
A Barotropic Tide Model for Global Ocean Based on Rotated Spherical Longitude-Latitude Grids |
title_sort |
barotropic tide model for global ocean based on rotated spherical longitude-latitude grids |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doi.org/10.3390/w13192670 https://doaj.org/article/725976e3722747fa9dd1c21cc6af7ef8 |
geographic |
Arctic Arctic Ocean North Pole |
geographic_facet |
Arctic Arctic Ocean North Pole |
genre |
Arctic Arctic Ocean North Pole |
genre_facet |
Arctic Arctic Ocean North Pole |
op_source |
Water, Vol 13, Iss 2670, p 2670 (2021) |
op_relation |
https://www.mdpi.com/2073-4441/13/19/2670 https://doaj.org/toc/2073-4441 doi:10.3390/w13192670 2073-4441 https://doaj.org/article/725976e3722747fa9dd1c21cc6af7ef8 |
op_doi |
https://doi.org/10.3390/w13192670 |
container_title |
Water |
container_volume |
13 |
container_issue |
19 |
container_start_page |
2670 |
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1766343760300474368 |