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Discretization of complex Geometric Domain Through computer-Based Stair-Step Representation Method for Estimating Water Levels Associated with A Storm

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china Ocean Engineering 2022年第5期36卷 791-801页

作者： Md.Mahabub Alam Gour chandra Paul Irfan Raju Foyjonnesa Farhana Zannat Eti Mst.Sharmin Banu Dipankar Kumar Md.Emran Ali Department of Applied Mathematics Gono BishwabidyalayDhaka-1344Bangladesh Department of Mathematics University of RajshahiRajshahi-6205Bangladesh Department of Arts&Sciences Bangladesh Army University of Science and TechnologySaidpur-5310Bangladesh Department of Mathematics European University of BangladeshDhaka-1216Bangladesh Department of Mathematics Jashore University of Science and TechnologyJashore-7408Bangladesh Department of Mathematics Bangabandhu Sheikh Mujibur Rahman Science and Technology UniversityGopalganj 8100Bangladesh Department of Textile Engineering Northern University of BangladeshDhaka 1230Bangladesh

In this paper,an improvement has been made to the approximation technique of a complex domain through the stair-step approach to have a considerable accuracy,minimize computational cost,and avoid the hardship of manual work.A novel stair-step representation algorithm is used in this regard,where the entire procedure is carried out through our developed MATLAB *** c-grid is used in our approximation with(1/120)°grid *** a test case,the method is applied to approximate the domain covering the area between 15°-23°N latitudes and 85°-95°E longitudes in the Bay of *** with the approximation of the land-sea interface,coastal stations are also *** land-sea interfaces and coastal stations are found to be in good agreement with the actual ones based on the similarity index,overlap fraction,and extra fraction *** method can be used for approximating an irregular geometric domain to employ the finite difference method in solving problems related to long *** a test case,shallow water equations in cartesian coordinates are solved on the domain of interest for simulating water levels due to the nonlinear tide-surge interaction associated with the storms April 1991 and AILA,2009 along the coast of *** same input except for the discretized domain and bathymetry as that of Paul et al.(2016)is used in our *** results are found to be in reasonable agreement with the observed data procured from Bangladesh Inland Water Transport Authority.

关键词： arakawa c-grid Bay of Bengal coast of Bangladesh finite difference method shallow water equations stair-step representation

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