A Transformed Coordinates Shallow Water Model for the Head of the Bay of Bengal Using Boundary-Fitted Curvilinear Grids
Year: 2013
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 1 : pp. 27–47
Abstract
The Bay of Bengal is surrounded by coastline except to the south, where there is open sea. The coastline bends most sharply along the coast of Bangladesh, and there are many small and large islands in the offshore region there. In order to incorporate the island boundaries and the curved coastline properly, in any numerical scheme it is often necessary to consider a very fine grid resolution along the coastal belts whereas this is unnecessary away from the coasts. However, a very fine resolution involves more memory and more CPU time in the numerical solution process, and invites numerical instability. On the other hand, boundary-fitted curvilinear grids in hydrodynamic models for coastal seas, bays and estuaries not only fit to the coastline but also render the finite difference schemes simpler and more accurate. In this article, the boundary-fitted curvilinear grids for the model represent the complete boundary of the area considered by four curves defined by four functions, and the four boundaries of two of the larger islands are then represented approximately by two general functions. An appropriate independent coordinate transformation maps the curvilinear physical area to a square domain, and each island boundary is transformed to a rectangle within this square domain. The vertically integrated shallow water equations are transformed to the new space domain, and solved by a regular explicit finite difference scheme. The model is applied to compute the water levels due to astronomical tides, and also the water levels due to surges associated with tropical storms that hit the coast of Bangladesh.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.130612.210213a
East Asian Journal on Applied Mathematics, Vol. 3 (2013), Iss. 1 : pp. 27–47
Published online: 2013-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 21
Keywords: Tropical storms surge tide generation shallow water equations boundary-fitted grids Bay of Bengal.
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Study of the Tide and Tidal Currents in the Bay of Bengal Based on Refined Simulations
Wan, Weiqi
Feng, Xingru
Liu, Qiuxing
Yin, Baoshu
Yang, Dezhou
Gao, Guandong
Journal of Coastal Research, Vol. 35 (2019), Iss. 1 P.33
https://doi.org/10.2112/JCOASTRES-D-18-00048.1 [Citations: 4]