A Discontinuous Galerkin Method for Non-hydrostatic Shallow Water Flows

被引：2

作者：

Jeschke, Anja ^{[1
]}

Vater, Stefan ^{[1
]}

Behrens, Joern ^{[1
]}

机构：

[1] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS | 2017年 / 200卷

关键词：

Shallow water equations; Non-hydrostatic; Discontinuous galerkin method; FREE-SURFACE FLOW; WAVE;

D O I：

10.1007/978-3-319-57394-6_27

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this work a non-hydrostatic depth-averaged shallow water model is discretized using the discontinuous Galerkin (DG) Method. The model contains a non-hydrostatic pressure component, similar to Boussinesq-type equations, which allows for dispersive gravity waves. The scheme is a projection method and consists of a predictor step solving the hydrostatic shallow water equations by the Runge-Kutta DG method. In the correction the non-hydrostatic pressure component is computed by satisfying a divergence constraint for the velocity. This step is discretized by application of the DG discretization to the first order elliptic system. The numerical tests confirm the correct dispersion behavior of the method, and show its validity for simple test cases.

引用

页码：247 / 255

页数：9

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