Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows
The fact that the 2D shallow-water model has been used for decades is such a long time that a complete reference on how to derive it from the primitive equations either has likely to become a very rare article or written in a way that is very complicated for the newcomers. Certain physical assumptio...
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Online Access: | http://irep.iium.edu.my/27578/1/Full_Derivation_of_2D_Shallowv1.pdf http://irep.iium.edu.my/27578/4/complete_derivation_of_2d_shallow_water_model_from_the_equations_governing_geophysical_flows.pdf http://irep.iium.edu.my/27578/ http://martec.umt.edu.my/files/2012/10/list-of-titles-r1.pdf |
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my.iium.irep.275782013-02-13T11:12:16Z http://irep.iium.edu.my/27578/ Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows Abdul Hadi, Muhammad Salihi Mustapa, Mohd Zaini Saad, Shahbudin QA Mathematics TC Hydraulic engineering. Ocean engineering The fact that the 2D shallow-water model has been used for decades is such a long time that a complete reference on how to derive it from the primitive equations either has likely to become a very rare article or written in a way that is very complicated for the newcomers. Certain physical assumptions and mathematical theorem should be acquired in order to fully understand how the complete 2D shallow-water model is derived which are often being skipped in many recent ocean modelling text books. In this paper, full derivation of the model that consist of momentum conversation in Cartesian coordinates and the continuity equations will be shown in the simplest way to satisfy the curiosity of fresh physical oceanographers. 2012 Conference or Workshop Item REM application/pdf en http://irep.iium.edu.my/27578/1/Full_Derivation_of_2D_Shallowv1.pdf application/pdf en http://irep.iium.edu.my/27578/4/complete_derivation_of_2d_shallow_water_model_from_the_equations_governing_geophysical_flows.pdf Abdul Hadi, Muhammad Salihi and Mustapa, Mohd Zaini and Saad, Shahbudin (2012) Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows. In: 8th International Conference on Marine Technology, 20-22 October 2012, Terengganu, Malaysia. http://martec.umt.edu.my/files/2012/10/list-of-titles-r1.pdf |
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QA Mathematics TC Hydraulic engineering. Ocean engineering Abdul Hadi, Muhammad Salihi Mustapa, Mohd Zaini Saad, Shahbudin Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
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The fact that the 2D shallow-water model has been used for decades is such a long time that a complete reference on how to derive it from the primitive equations either has likely to become a very rare article or written in a way that is very complicated for the newcomers. Certain physical assumptions and mathematical theorem should be acquired in order to fully understand how the complete 2D shallow-water model is derived which are often being skipped in many recent ocean modelling text books. In this paper, full derivation of the model that consist of momentum conversation in Cartesian coordinates and the continuity equations will be shown in the simplest way to satisfy the curiosity of fresh physical oceanographers. |
format |
Conference or Workshop Item |
author |
Abdul Hadi, Muhammad Salihi Mustapa, Mohd Zaini Saad, Shahbudin |
author_facet |
Abdul Hadi, Muhammad Salihi Mustapa, Mohd Zaini Saad, Shahbudin |
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Abdul Hadi, Muhammad Salihi |
title |
Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
title_short |
Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
title_full |
Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
title_fullStr |
Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
title_full_unstemmed |
Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows |
title_sort |
complete derivation of 2d shallow-water model from the primitive equations governing geophysical flows |
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2012 |
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http://irep.iium.edu.my/27578/1/Full_Derivation_of_2D_Shallowv1.pdf http://irep.iium.edu.my/27578/4/complete_derivation_of_2d_shallow_water_model_from_the_equations_governing_geophysical_flows.pdf http://irep.iium.edu.my/27578/ http://martec.umt.edu.my/files/2012/10/list-of-titles-r1.pdf |
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