Abstract
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.
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