A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations
A Discontinuous Galerkin Method for Three-Dimensional Shallow Water Equations
复制标题
三维浅水方程的间断伽辽金法
DOI：
10.1007/s10915-004-4139-3
复制
发表时间：
2005
影响因子：
2.5
通讯作者：
V. Aizinger
中科院分区：
文献类型：
--
作者：
C. Dawson;V. Aizinger
本文将局部间断Galerkin方法应用于三维浅水波方程的数值求解。浅水方程用于模拟静水压力假设有效的地表水流。作者最近发展了一种DG\linebreak方法用于深度积分浅水方程。这里描述的方法是这些想法的扩展到非深度集成模型。方法及其实施进行了讨论，其次是几个测试问题的数值例子。
We describe the application of a local discontinuous Galerkin method to the numerical solution of the three-dimensional shallow water equations. The shallow water equations are used to model surface water flows where the hydrostatic pressure assumption is valid. The authors recently developed a DG\linebreak method for the depth-integrated shallow water equations. The method described here is an extension of these ideas to non-depth-integrated models. The method and its implementation are discussed, followed by numerical examples on several test problems.