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An Efficient Approach for Simulation of Water Levels due to the Nonlinear Interaction of Tide and Surge Along the Coast of Bangladesh

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Abstract

The ultimate goal and highlight of this paper are to explore water levels along the coast of Bangladesh efficiently due to the nonlinear interaction of tide and surge by employing the method of lines (MOLs) with the aid of newly proposed RKAHeM(4, 4) technique. In this regard, the spatial derivatives of shallow water equations (SWEs) were discretized by means of a finite difference method to obtain a system of ordinary differential equations (ODEs) of initial valued with time as an independent variable. The obtained system of ODEs was solved by the RKAHeM(4, 4) technique. One-way nested grid technique was exercised to incorporate coastal complexities closely with minimum computational cost. A stable tidal oscillation was produced over the region of interest by applying the most influential tidal constituent M2 along the southern open boundary of the outer scheme. The newly developed model was applied to estimate water levels due to the non-linear interaction of tide and surge associated with the catastrophic cyclone April 1991 along the coast of Bangladesh. The approach employed in the study was found to perform well and ensure conformity with real-time observations.

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Acknowledgments

We would like to express our gratitude to anonymous four reviewers of this paper whose careful reading, insightful comments and suggestions led to substantial improvements of the manuscript. The authors are also thankful to Mr. Md. Mahabub Alam, an M.Sc. thesis student, Department of Mathematics, University of Rajshahi, Bangladesh for his help in editing a figure.

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Authors and Affiliations

  1. Department of Mathematics, University of Rajshahi, Rajshahi, 6205, Bangladesh

    Gour Chandra Paul

  2. School of Mathematical Sciences, Universiti Sains Malaysia, Pulau, Pinang, 11800, Malaysia

    Sukumar Senthilkumar

  3. Mathematics Discipline, Science, Engineering & Technology School, Khulna University, Khulna, 9208, Bangladesh

    Rana Pria

Authors
  1. Gour Chandra Paul
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  2. Sukumar Senthilkumar
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  3. Rana Pria
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Correspondence to Gour Chandra Paul.

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Paul, G.C., Senthilkumar, S. & Pria, R. An Efficient Approach for Simulation of Water Levels due to the Nonlinear Interaction of Tide and Surge Along the Coast of Bangladesh. China Ocean Eng 34, 537–546 (2020). https://doi.org/10.1007/s13344-020-0048-y

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  • DOI: https://doi.org/10.1007/s13344-020-0048-y

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