On the Approximation of the Bay of Bengal Domain to be Compatible for the Implementation of Finite Element Method

Md. Masum Murshed *, Md. Morshed Bin Shiraj, Md. Safik Ullah, Md. Mizanur Rahman and Md. Manik Hossain

Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh.
 
Research Article
World Journal of Advanced Engineering Technology and Sciences, 2023, 09(01), 290-295.
Article DOI: 10.30574/wjaets.2023.9.1.0170
Publication history: 
Received on 30 April 2023; revised on 14 June 2023; accepted on 16 June 2023
 
Abstract: 
In this study, the Bay of Bengal domain has been approximated using triangular mesh so that the finite element method (FEM) can be employed on it. The area between 15º N and 23º N Latitudes and 85º E and 95º E Longitudes is considered as the physical domain. A MATLAB routine and the cubic spline interpolation have been used to extract the coordinates of the points on the boundary of the whole domain and the points on the boundary of the islands from a colour image of the domain. A C++ routine is used to generate an edp file for triangular mesh using the extracted coordinates. Then FreeFem++ is used to create triangular mesh for the whole domain from the generated edp file. All the major islands are also incorporated in the final mesh. The obtained triangular mesh can be used to develop a storm surge prediction model for the Bay of Bengal region implementing FEM.
 
Keywords: 
Approximation of Geometric Domain; Bay of Bengal; Triangular Mesh; Finite Element Method
 
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