An adaptive discretization of shallow‐water equations based on discontinuous Galerkin methods
An adaptive discretization of shallow‐water equations based on discontinuous Galerkin methods
复制标题
基于间断伽辽金法的浅水方程自适应离散化
DOI：
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发表时间：
2006
期刊：
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通讯作者：
M. Shephard
中科院分区：
文献类型：
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作者：
J. Remacle;S. S. Frazao;Xiangrong Li;M. Shephard
在本文中，我们提出了浅水方程的间断Galerkin公式。空间离散采用正交基，时间离散采用显式龙格-库塔格式。给出了溃坝问题二阶各向异性自适应计算的一些结果。自适应程序使用的误差指标，集中的计算工作附近的不连续性，如液压跳跃。版权所有© 2006约翰威利父子有限公司。
In this paper, we present a discontinuous Galerkin formulation of the shallow‐water equations. An orthogonal basis is used for the spatial discretization and an explicit Runge–Kutta scheme is used for time discretization. Some results of second‐order anisotropic adaptive calculations are presented for dam breaking problems. The adaptive procedure uses an error indicator that concentrates the computational effort near discontinuities like hydraulic jumps. Copyright © 2006 John Wiley & Sons, Ltd.