Numerical Solution of River Flood and Dam Break Problems by Cell Centred Finite Volume Scheme

Abstract

This paper presents the development of a numerical solution for simulating flood phenomena caused by dam break problem. This dam break phenomena should be examined because of the potential damages and on the greater dam can cause casualties. This numerical solution presented in this paper is developed using cell-centered finite volume scheme first introduced by Jameson (1981) for solving the two dimensional compressible Euler equations (1981). This numerical solution has been implemented for several cases of dam break and the flow on a channel and the results has been compared with the results obtained by other researchers. The conclusion from this comparison is the simulation results shows good agreement. This numerical solution is then applied in a hypothetical case at the Lawe-Lawe Dam and being a part of mitigation effort just in case the disaster phenomena’s happen.