WELL-BALANCED SIMULATION OF GEOPHYSICAL FLOWS VIA THE SHALLOW WATER EQUATIONS WITH BOTTOM TOPOGRAPHY: CONSISTENCY AND NUMERICAL COMPUTATION

被引：0

作者：

Mueller, Thomas ^{[1
]}

Pfeiffer, Axel ^{[1
]}

机构：

[1] Univ Freiburg, Abt Angew Math, Hermann Herder Str 10, D-79104 Freiburg, Germany

来源：

HYPERBOLIC PROBLEMS: THEORY, NUMERICS, APPLICATIONS | 2014年 / 8卷

关键词：

Shallow water equations; finite volume schemes; well-balanced schemes; wetting and drying; finite volume schemes on surfaces; consistency; SCALAR CONSERVATION-LAWS; SCHEME; ORDER;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this contribution we review a well-balancing modification for the shallow water equations and give a new result on its order of consistency, where dry regions are included. Furthermore, we combine the well-balancing modification with an existing wetting and drying approach. We show numerical results including the application to equations posed on surfaces including a realistic bottom topography. For this, we propose a finite volume scheme that is able to deal with a variety of surfaces.

引用

页码：801 / 808

页数：8

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