Hydrostatic Upwind Schemes for Shallow-Water Equations

被引：4
|
作者：
Berthon, Christophe [1 ]
Foucher, Francoise [1 ]
机构：
[1] UMR 6629, Lab Math Jean Leray, F-44322 Nantes 3, France
来源：
FINITE VOLUMES FOR COMPLEX APPLICATIONS VI: PROBLEMS & PERSPECTIVES, VOLS 1 AND 2 | 2011年 / 4卷
关键词：
shallow-water equations; finite volume schemes; source term approximations; well-balanced schemes; positive preserving schemes; COMPUTING HYPERBOLIC SYSTEMS; GEOMETRICAL SOURCE TERMS; WELL-BALANCED SCHEME; ERROR;
D O I：
10.1007/978-3-642-20671-9_11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the numerical approximation of the shallow-water equations with non-flat topography. We introduce a new topography discretization that makes all schemes to be well-balanced and robust. At the discrepancy with the well-known hydrostatic reconstruction, the proposed numerical procedure does not involve any cut-off. Moreover, the obtained scheme is able to deal with dry areas. Several numerical benchmarks are performed to assert the interest of the method.
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页码：97 / 105
页数：9
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