On the compilation of the bathymetric data of the bay of Bengal domain in the nodal points of triangular mesh to be compatible for the implementation of finite element method

Masum Murshed 1, *, Mamunur Rasid 2, Morshed Bin Siraj 1 and Mostafizur Rahman 3

1 Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh.
2 Department of Mathematical and Physical Sciences, Kanazawa University, Kakuma, Kanazawa, 920-1192, Japan.
3 Department of Hydrography, Bangladesh Inland Water Transport Authority, BIWTA Bhaban, 141-143, Mothijheel C/A, Dhaka-1000, Bangladesh.
 
Research Article
World Journal of Advanced Research and Reviews, 2024, 23(02), 2725–2735
Article DOI: 10.30574/wjarr.2024.23.2.2616
 
 
Publication history: 
Received on 19 July 2024; revised on 26 August 2024; accepted on 29 August 2024
 
Abstract: 
This study focuses on the compilation of bathymetric data for the Bay of Bengal domain, specifically for the area between 15°N to 23°N latitudes and 85°E to 95°E longitudes, to ensure compatibility with the Finite Element Method (FEM). A high-resolution color map of the region was generated using ArcGIS software, which served as the basis for discretizing the domain into a triangular mesh. Bathymetric data for the Bay of Bengal, including the Meghna River, was then compiled using a combination of recent data from the Bangladesh Inland Water Transport Authority (BIWTA) and generated data, which were interpolated using a two-way cubic spline interpolation method. The Modified Inverse Distance Weighted Interpolation (MIDWI) method was employed to map this bathymetric data to the nodal points of the triangular mesh, ensuring accurate representation of the seafloor’s varying depths. This work is essential for developing a reliable storm surge prediction model for the Bay of Bengal using FEM, as it provides the necessary geometric and bathymetric details required for precise numerical modeling.
 
Keywords: 
Bathymetric Data; Bay of Bengal; Triangular Mesh; Modified Inverse Distance Weighted Interpolation; Finite Element Method
 
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