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
收藏
页码:801 / 808
页数:8
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