Title : ( Numerical solutions for shallow water equations based on the wave propagation algorithm with the moving mesh method )
Authors: Mina Bagherpoor , Ali Reza Soheili ,
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Abstract
Using adaptive mesh methods is one of strategies to improve the numerical solutions of time dependent partial differential equations with singular or discontinuous solutions, such as shock waves, boundary layers and explosive waves. Shallow water equations are a nonlinear system of hyperbolic conservation laws. This system is problematic because it admits the discontinuous solutions and also, a discontinuous bathymetry can lead to the discontinuous solutions. In this paper, numerical solutions for shallow water equations with variable bathymetry are improved by using the moving mesh method with wave propagation algorithm. The results show that the moving mesh method leads to the highly accurate solutions around shocks and discontinuities in comparison with the fixed mesh.
Keywords
, Finite volume methods, Moving mesh methods, Riemann solvers, Shallow water equations, Wave propagation algorithm.
@inproceedings{paperid:1075969,
author = {دکتر مینا باقرپور and Soheili, Ali Reza},
title = {Numerical solutions for shallow water equations based on the wave propagation algorithm with the moving mesh method},
booktitle = {The 50 th Annual Iranian Mathematics Conference},
year = {2019},
location = {شیراز, IRAN},
keywords = {Finite volume methods; Moving mesh methods; Riemann solvers; Shallow
water equations; Wave propagation algorithm.},
}
%0 Conference Proceedings
%T Numerical solutions for shallow water equations based on the wave propagation algorithm with the moving mesh method
%A دکتر مینا باقرپور
%A Soheili, Ali Reza
%J The 50 th Annual Iranian Mathematics Conference
%D 2019
