Institutional Repository
Technical University of Crete
Technical University of Crete
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EL
| URI: | http://purl.tuc.gr/dl/dias/FD75EB21-AEF4-4EEF-BE46-4BFEF3B6EB00 | ||
| Year | 2009 | ||
| Type of Item | Conference Full Paper | ||
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| Bibliographic Citation | A.I. Delis and I. K. Nikolos, "A well-balanced node-centered finite volume scheme for shallow water flows with wetting and drying," presented at International Conference of Numerical Analysis and Applied Mathematics 2009 (ICNAAM 2009), Rethymnon, Greece, 2009. https://doi.org/10.1063/1.3241359 | ||
| Appears in Collections |
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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