Аннотация:
In this paper, a HLL (Harten Lax van Leer) approximate Riemann solver with MUSCL scheme
(Monotonic Upwind Schemes for Conservative Laws) is implemented in the presented FV (Finite
Volume) model. The presented model is used to simulate different dam-break flow events to verify its
capability. Four test cases are presented in this paper. In the first test case, a 1-Dimensional (1D) dambreak
flow is simulated over a rectangular channel with different slope limiters of the FV model (namely
Godunov, Superbee, Minmod, van Leer, and van Albada). The second test case consists of a simulation of
shallow water discontinuous dam-break flow over a dry-downstream bed channel. The third test simulates
the shallow water dam-break flow with the existence of bed slope and bed shear stress. Finally, in the last
test, the HLL-MUSCL model used in this paper and some other solver models used in literature are
compared against the referred exact solution in dam-break flow application. The presented HLL-MUSCL
scheme is found to give the best agreement to the exact solution.
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