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2007•Journal of Hydroelectric EngineeringRequires access

Discontinuous finite-element method for one-dimensional shallow water equations

Lihui Wang, Siyi Hu

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Abstract

According to the principle of discontinuous finite-element method and selection of orthogonal basis shape functions,the computational scheme is developed for the shallow water equations.The bottom slope source terms is treated with surface gradient method so as to obtain the high-order accuracy result in the scheme.The simulation of three examples shows that the method has high-resolution when it is applied in unsteady and quasi-steady flows with the sharp wave in discontinuous problems and suitable to computation of the shallow water flows.

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What this paper is about

According to the principle of discontinuous finite-element method and selection of orthogonal basis shape functions,the computational scheme is developed for the shallow water equations.The bottom slope source terms is treated with surface gradient method so as to obtain the high-order accuracy result in the scheme.The simulation of three examples shows that the method has high-resolution when it is applied in unsteady and quasi-steady flows with the sharp wave in discontinuous problems and suitable to computation of the shallow water flows.

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Available abstract

According to the principle of discontinuous finite-element method and selection of orthogonal basis shape functions,the computational scheme is developed for the shallow water equations.The bottom slope source terms is treated with surface gradient method so as to obtain the high-order accuracy result in the scheme.The simulation of three examples shows that the method has high-resolution when it is applied in unsteady and quasi-steady flows with the sharp wave in discontinuous problems and suitable to computation of the shallow water flows.

Key concepts: Computation, Shallow water equations, Finite element method, Waves and shallow water, Extended finite element method, Mathematical analysis, Mathematics, Basis (linear algebra)

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