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2007•Journal of Hydrodynamics(Ser.A)Requires access

Application of improved HLL scheme for 2D shallow water equations with triangular meshes

Congfang Ai, Sheng Jin

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Abstract

Based on the HLL's approximate Riemann solver with triangular meshes,a numerical model is developed for the unsteady,two-dimensional,shallow water flow with an unever bottom.In order to balance the pressure terms with the bottom slope term for arbitrary geometry with triangular mesh,the classic HLL scheme is improved.It is confirmed by an algebraic manipulation that the improved HLL scheme is well balance.The good quality of the results is illustrated by means of several examples including shallow water flow test cases.

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What this paper is about

Based on the HLL's approximate Riemann solver with triangular meshes,a numerical model is developed for the unsteady,two-dimensional,shallow water flow with an unever bottom.In order to balance the pressure terms with the bottom slope term for arbitrary geometry with triangular mesh,the classic HLL scheme is improved.It is confirmed by an algebraic manipulation that the improved HLL scheme is well balance.The good quality of the results is illustrated by means of several examples including shallow water flow test cases.

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Available abstract

Based on the HLL's approximate Riemann solver with triangular meshes,a numerical model is developed for the unsteady,two-dimensional,shallow water flow with an unever bottom.In order to balance the pressure terms with the bottom slope term for arbitrary geometry with triangular mesh,the classic HLL scheme is improved.It is confirmed by an algebraic manipulation that the improved HLL scheme is well balance.The good quality of the results is illustrated by means of several examples including shallow water flow test cases.

Key concepts: Polygon mesh, Riemann solver, Shallow water equations, Mathematics, Triangle mesh, Solver, Geometry, Scheme (mathematics)

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