@Article{EAJAM-3-1,
author = {},
title = {A Transformed Coordinates Shallow Water Model for the Head of the Bay of Bengal Using Boundary-Fitted Curvilinear Grids},
journal = {East Asian Journal on Applied Mathematics},
year = {2013},
volume = {3},
number = {1},
pages = {27--47},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.130612.210213a},
url = {https://global-sci.com/article/82815/a-transformed-coordinates-shallow-water-model-for-the-head-of-the-bay-of-bengal-using-boundary-fitted-curvilinear-grids}
}