Discretization of multidimensional mathematical equations of dam break phenomena using a novel approach of finite volume method

This paper was concerned to simulate both wet and dry bed dam break problems. a high-resolution finite volume method (fvm) was employed to solve the one-dimensional (1d) and two-dimensional (2d) shallow water equations (swes) using an unstructured voronoi mesh grid. in this attempt,the robust local lax-friedrichs (llxf) scheme was used for the calculating of the numerical flux at cells interfaces. the model named v-break was run under the asymmetry partial and circular dam break conditions and then verified by comparing the model outputs with the documented results. due to a precise agreement between those output and documented results,the v-break could be considered as a reliable method for dealing with shallow water (sw) and shock problems,especially those having discontinuities. in addition,statistical observations indicated a good conformity between the v-break and analytical results clearly. © 2013 hamid reza vosoughifar et al.