On the computation of the barotropic mode of a free-surface world ocean model
The free-surface formulation of the equations of our world ocean model is briefly described. The barotropic mode equations are solved according to the split-explicit method, using different time steps for the external and internal modes. Because the numerical algorithm is implemented on the B-grid,...
Published in: | Annales Geophysicae |
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Language: | English |
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Springer Verlag
1995
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ftnonlinearchiv:oai:noa.gwlb.de:cop_mods_00037947 2023-05-15T18:25:34+02:00 On the computation of the barotropic mode of a free-surface world ocean model Deleersnijder, E. Campin, J.-M. 1995-06 electronic https://doi.org/10.1007/s00585-995-0675-x https://noa.gwlb.de/receive/cop_mods_00037947 eng eng Springer Verlag Annales Geophysicae -- http://www.bibliothek.uni-regensburg.de/ezeit/?1458425 -- https://www.ann-geophys.net/ -- https://www.ann-geophys.net/volumes.html -- http://link.springer.com/journal/585 -- 1432-0576 https://doi.org/10.1007/s00585-995-0675-x https://noa.gwlb.de/receive/cop_mods_00037947 https://open-access.net/ uneingeschränkt info:eu-repo/semantics/restrictedAccess article Verlagsveröffentlichung article Text doc-type:article 1995 ftnonlinearchiv https://doi.org/10.1007/s00585-995-0675-x 2022-02-08T22:43:17Z The free-surface formulation of the equations of our world ocean model is briefly described. The barotropic mode equations are solved according to the split-explicit method, using different time steps for the external and internal modes. Because the numerical algorithm is implemented on the B-grid, a spurious, free-surface, two-grid interval mode may develop. This mode must be filtered out. The properties of two filters are theoretically investigated and their actual performance is tested in a series of numerical experiments. It is seen that one of these filters may severely perturb the local mass conservation, rendering it impossible to enforce the impermeability of the surface or the bottom of the ocean. The dynamics of the external mode is also examined, by studying the depth-integrated momentum equations. The depth-integral of the pressure force due to the slope of the ocean surface is approximately balanced by the depth-integral of the force ensuing from the horizontal variations of the density. The depth-integral of the Coriolis force is an order of magnitude smaller, except in the Southern Ocean. Two variational principles are resorted to for computing the fictitious ocean surface elevation corresponding to the approximate equilibrium between the dominant forces of the barotropic momentum equations. Article in Journal/Newspaper Southern Ocean Niedersächsisches Online-Archiv NOA Southern Ocean Annales Geophysicae 13 6 675 688 |
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language |
English |
topic |
article Verlagsveröffentlichung |
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article Verlagsveröffentlichung Deleersnijder, E. Campin, J.-M. On the computation of the barotropic mode of a free-surface world ocean model |
topic_facet |
article Verlagsveröffentlichung |
description |
The free-surface formulation of the equations of our world ocean model is briefly described. The barotropic mode equations are solved according to the split-explicit method, using different time steps for the external and internal modes. Because the numerical algorithm is implemented on the B-grid, a spurious, free-surface, two-grid interval mode may develop. This mode must be filtered out. The properties of two filters are theoretically investigated and their actual performance is tested in a series of numerical experiments. It is seen that one of these filters may severely perturb the local mass conservation, rendering it impossible to enforce the impermeability of the surface or the bottom of the ocean. The dynamics of the external mode is also examined, by studying the depth-integrated momentum equations. The depth-integral of the pressure force due to the slope of the ocean surface is approximately balanced by the depth-integral of the force ensuing from the horizontal variations of the density. The depth-integral of the Coriolis force is an order of magnitude smaller, except in the Southern Ocean. Two variational principles are resorted to for computing the fictitious ocean surface elevation corresponding to the approximate equilibrium between the dominant forces of the barotropic momentum equations. |
format |
Article in Journal/Newspaper |
author |
Deleersnijder, E. Campin, J.-M. |
author_facet |
Deleersnijder, E. Campin, J.-M. |
author_sort |
Deleersnijder, E. |
title |
On the computation of the barotropic mode of a free-surface world ocean model |
title_short |
On the computation of the barotropic mode of a free-surface world ocean model |
title_full |
On the computation of the barotropic mode of a free-surface world ocean model |
title_fullStr |
On the computation of the barotropic mode of a free-surface world ocean model |
title_full_unstemmed |
On the computation of the barotropic mode of a free-surface world ocean model |
title_sort |
on the computation of the barotropic mode of a free-surface world ocean model |
publisher |
Springer Verlag |
publishDate |
1995 |
url |
https://doi.org/10.1007/s00585-995-0675-x https://noa.gwlb.de/receive/cop_mods_00037947 |
geographic |
Southern Ocean |
geographic_facet |
Southern Ocean |
genre |
Southern Ocean |
genre_facet |
Southern Ocean |
op_relation |
Annales Geophysicae -- http://www.bibliothek.uni-regensburg.de/ezeit/?1458425 -- https://www.ann-geophys.net/ -- https://www.ann-geophys.net/volumes.html -- http://link.springer.com/journal/585 -- 1432-0576 https://doi.org/10.1007/s00585-995-0675-x https://noa.gwlb.de/receive/cop_mods_00037947 |
op_rights |
https://open-access.net/ uneingeschränkt info:eu-repo/semantics/restrictedAccess |
op_doi |
https://doi.org/10.1007/s00585-995-0675-x |
container_title |
Annales Geophysicae |
container_volume |
13 |
container_issue |
6 |
container_start_page |
675 |
op_container_end_page |
688 |
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1766207123645005824 |