Numerical method for dam break problem by using Godunov approach

Abstract

In this study a numerical scheme was developed in order to overcome the problem of shock wave for the test case of dam break. The numerical scheme was based on Godunov approach of finite volume method to solve the shallow water equation. In order to expedite and improve the solution an approximate Roe’s Riemann solver associated with Monotone Upstream-centred Scheme for Conservation Laws (MUSCL) was applied. The results were presented in one and two dimensional and verifications were made with analytical solution. The results are comparable and a good agreement is achieved between numerical and analytical.