Numerical Simulation of 2D Shallow water equation with constant external body force by using Finite difference method

Authors

  • Saeed Ahmed Rajput Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan & Department of BSRS, QUEST campus Larkana, Pakistan
  • Shakeel Ahmed Kamboh Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
  • Khuda Bux Amur Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan
  • Saifullah Memon State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing, China
  • Abbas Ali Ghoto Department of Mathematics and Statistics, QUEST, Nawabshah, Pakistan

DOI:

https://doi.org/10.21015/vtm.v11i1.1469

Abstract

In this paper the numerical modeling and simulation of 2D shallow water equations is discussed with the non-flat topography. The sets of these equations is solved by means of the Crank-Nicolson finite difference method with constant external body force and Darcy Weisbach equation is used for friction slope parameter. We have obtained the important results that, as soon as we start the time then Height evaluation function has the maximum amplitude wave length which is decreasing when the time increases. The numerical solution algorithm works well and enables to predict the water elevation and velocity at any instance and any location in the domain.

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Published

2023-06-07

How to Cite

Rajput, S. . A., Kamboh, S. A., Amur, K. B., Memon, S., & Ghoto, A. A. (2023). Numerical Simulation of 2D Shallow water equation with constant external body force by using Finite difference method. VFAST Transactions on Mathematics, 11(1), 170–179. https://doi.org/10.21015/vtm.v11i1.1469

Issue

Vol. 11 No. 1 (2023): January-June

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