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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Main Authors:	Abdul Hadi, Muhammad Salihi, Mustapa, Mohd Zaini, Saad, Shahbudin
Format:	Conference or Workshop Item
Language:	English English
Published:	2012
Subjects:	QA Mathematics TC Hydraulic engineering. Ocean engineering
Online Access:	http://irep.iium.edu.my/27578/ http://irep.iium.edu.my/27578/ 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

id	iium-27578
recordtype	eprints
spelling	iium-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 PeerReviewed 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
repository_type	Digital Repository
institution_category	Local University
institution	International Islamic University Malaysia
building	IIUM Repository
collection	Online Access
language	English English
topic	QA Mathematics TC Hydraulic engineering. Ocean engineering
spellingShingle	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
description	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
author_sort	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
publishDate	2012
url	http://irep.iium.edu.my/27578/ http://irep.iium.edu.my/27578/ 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
first_indexed	2023-09-18T20:40:56Z
last_indexed	2023-09-18T20:40:56Z
_version_	1777409360595517440

Complete derivation of 2D shallow-water model from the primitive equations governing geophysical flows

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