Abstract
In recent studies, the type of shock-capturing scheme called total variation-diminishing (TVD) scheme, was proposed by Harten, and was applied widely in gas dynamics. The TVD scheme has second-order accuracy, is oscillation-free across discontinuities, and does not require additional artificial viscosity. Therefore it was introduced to solve hydrodynamics for free-surface flows, in particular, for recent complex dam-break flows. Delis and Skeels made a comparison with several different TVD schemes (i.e., symmetric, upwind, TVD-MacCormack, and MUSCL scheme) to predict one-dimensional (1D) dam-break flows. Based on the above research results, a high-resolution algorithm model is proposed for the solution of the 2D shallow water equations by adopting the numerical flux for the TVD scheme, the Strang type operator splitting method and the finite volume method (FVM).And this model was used to predict the flood evolution process caused by the instantaneous partial dam-break, and the simulating results indicate that this model is fairly effective for simulating dam-break flood waves.
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