Abstract
In this study, numerical prediction of surges associated with a storm was made through the method of lines (MOL) in coordination with the newly proposed RKARMS (4, 4) method for the meghna estuarine region, along the coast of Bangladesh. For this purpose, the vertically integrated shallow water equations (SWEs) in Cartesian coordinates were firstly transformed into ordinary differential equations (ODEs) of initial valued, which were then soloved using the new RKARMS (4, 4) method. Nested grid technique was employed for resolving the complexities of the region of interest with minimum cost. Fresh water discharge through the lower Meghna River was taken into account along the north east corner of the innermost child scheme. Numerical experiments were performed with the severe cyclone on April 1991 that crossed the coast over the study area. Simulated results by the study were found to be in good agreement with some reported data and were found to compare well with the results obtained by the MOL in addition with the classical 4th order Runge-Kutta (RK (4, 4)) method and the standard finite difference method (FDM).
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Acknowledgments
The authors are thankful to the anonymous reviewers for their insightful comments in improving the quality of the manuscript. The first author would like to thank Md. Mizanur Rahman, from Department of Mathematics, Shahjalal University of Science & Technology, Sylhet, Bangladesh for providing necessary data and Figures. The second author would like to extend his sincere gratitude to Professor Ramasamy Ponalagusamy, Department of Mathematics, National Institute of Technology [REC], Tiruchirappalli-620015, Tamilnadu, India for his valuable guidance during doctoral research work. Rana Pria is an M.Sc. student of Mathematics Discipline, Khulna University, Bangladesh, who would like to thank her supervisor for his valuable suggestions.
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Paul, G.C., Senthilkumar, S. & Pria, R. Storm surge simulation along the Meghna estuarine area: an alternative approach. Acta Oceanol. Sin. 37, 40–49 (2018). https://doi.org/10.1007/s13131-018-1157-9
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DOI: https://doi.org/10.1007/s13131-018-1157-9