文章基本信息

标题：Discontinuous Galerkin Method For The One Dimensional Simulation Of Shallow Water Flows.
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作者：Pablo A. Tassi ; Carlos A. Vionnet
期刊名称：Mecánica Computacional
印刷版ISSN：2591-3522
出版年度：2007
页码：1474-1488
语种：English
出版社：CIMEC-INTEC-CONICET-UNL
摘要：A numerical solution for the one-dimensional (1D) hyperbolic conservation law is presented, based on the Runge Kutta Discontinuous Galerkin Method (RKDG). The RKDG scheme combines some properties of the finite element and finite-volume tech- niques, resulting on a very attractive method because of its formal high-order accuracy, its ability to handle complicated geometries, its adaptability to parallelization, and its abil- ity to capture discontinuities without producing spurious oscillations. In this paper, we consider some scalar conservation equations to ilustrate the method's properties in one spatial dimension (1-D). Finally, the 1-D shallow water equations are discretized with the RKDG. A comparison with an exact solution is made to illustrate the capability of the method to handle strong discontinuities with relative small number of elements.
其他摘要：A numerical solution for the one-dimensional (1D) hyperbolic conservation law is presented, based on the Runge Kutta Discontinuous Galerkin Method (RKDG). The RKDG scheme combines some properties of the finite element and finite-volume tech- niques, resulting on a very attractive method because of its formal high-order accuracy, its ability to handle complicated geometries, its adaptability to parallelization, and its abil- ity to capture discontinuities without producing spurious oscillations. In this paper, we consider some scalar conservation equations to ilustrate the method's properties in one spatial dimension (1-D). Finally, the 1-D shallow water equations are discretized with the RKDG. A comparison with an exact solution is made to illustrate the capability of the method to handle strong discontinuities with relative small number of elements.