2009•Journal of Hydrodynamics(Ser.A)Requires access
On a well-balanced discretization scheme for two-dimensional shallow water equations with source terms
Gao Shu-feng
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Abstract
Based on Godunov scheme of the HLL's approximate Riemann solver and using the triangular grids, a finite volume numerical discrete model of two-dimensional shallow water is proposed.In the proposed method, the bed slope source term takes the same treatment for the divergence of matrix as that of the gradient of static pressure.It is confirmed by an algebraic manipulation that the scheme possesses well balance.The good quality of the result s is illustrated by means of several examples including shallow water flow cases.