A McCormack TVD scheme is presented for the computation of Saint-Venant equations, in the context of coastal hydrodynamics. The dam-break problem on wet and dry bottoms is used to evaluate and discuss the performances of the scheme. A run-up simulation on a sloping beach is then presented and a comparison using an analytical solution is made. Finally, a bore propagation on a sloping beach is computed.
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Vincent et al. (2001) studied this question.
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