A Weil-Balanced Node-Centered Finite Volume Scheme for Shallow Water Flows with Wetting and Drying

A Weil-Balanced Node-Centered Finite Volume Scheme for Shallow Water Flows with Wetting and Drying

We present a conservative, node-centered finite-volume (FV) algorithm for triangular grids in order to simulate unsteady, two-dimensional, shallow-water flows over arbitrary topography with wetting and drying. The algorithm utilizes Roe's approximate Riemann solver to compute the numerical flux...

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Hauptverfasser: Delis, A I, Nikolos, I K
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description We present a conservative, node-centered finite-volume (FV) algorithm for triangular grids in order to simulate unsteady, two-dimensional, shallow-water flows over arbitrary topography with wetting and drying. The algorithm utilizes Roe's approximate Riemann solver to compute the numerical fluxes, while second-order spatial accuracy is achieved with a 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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title A Weil-Balanced Node-Centered Finite Volume Scheme for Shallow Water Flows with Wetting and Drying
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