A well-balanced node-centered finite volume scheme for shallow water flows with wetting and drying

Summarization: We present a conservative, node-centered finite-volume (FV) algorithm for triangular grids in order to simulal unsteady, two-dimensional, shallow-water flows over arbitrary topography with wetting and drying. The algorithm utilize Roe's approximate Riemann solver to compute the numerical fluxes, while second-order spatial accuracy is achieved with MUSCL reconstruction technique. The novel aspects of the algorithm include the extension to second order of the topography source term treatment and the wet/dry front treatment, within the node-centered FV formulation. The numerical scheme is validated against benchmark test cases and experimental data related to propagation and run-up of long waves.Παρουσιάστηκε στο: International Conference of Numerical Analysis and Applied Mathematic