Application of Lax and Leap-Frog Schemes in Two-Dimensional Modeling of Dam Breaking Using Explicit Finite- Difference Method

Explicit finite- difference along with the combination of Lax and Leap-Frog schemes have been used to solve the 2D shallow water equations (SWE) to describe the free surface dam break flow in open channels. Discretization of SWE were carried out on a staggered grid. The model assessment was carried out by comparing the model results with the results of the analytical solution of a one-dimensional instantaneous dam break over a flat bed without friction and also with some researcher’s numerical data for two-dimensional break of a circular column of water. Then the model results were compared with the present experimental data of a symmetry partial dam break. In all cases, the model could simulate the dam break flow with an appropriate accuracy.