Author(s): Jinbo Yang; Wengang Duan; Siying Wang; Dingfang Li
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Keywords: Shallow Water Equations; Well-balanced; Dam break; Wet/dry fronts; HLLC Riemann solver
Abstract: In this paper, A well-balanced Godunov-type scheme for the 2D shallow water flow is proposed to model the dam-break floods with irregular topography and wet/dry fronts on the triangular mesh. Here, the HLLC Riemann solver is applied to approximate the intercell numerical flux at each interface with the rectangle formula employed to approximate the line integral of the bed slope terms along the sides of each element. In order to obtain a second-order accurate numerical scheme, the MUSCL data reconstruction and Runge-Kutta are applied in the space and time, respectively. For the wet/dry fronts, the redefinition of the discretized bottom function is applied at the wet/dry transitions. Finally, the tests of dam-break floods with irregular topography and wet/dry fronts are simulated, of which of the results are in good agreement with the analytical solutions and existing results.
Year: 2013