A Godunov-Type Scheme for Shallow Water Equations Dedicated to Simulations of Overland Flows on Stepped Slopes

被引：1
|
作者：
Goutal, Nicole [1 ,2 ]
Le, Minh-Hoang [1 ]
Ung, Philippe [1 ]
机构：
[1] LHSV, 6 Quai Watier, F-78401 Chatou, France
[2] EDF R&D, 6 Quai Watier, F-78401 Chatou, France
来源：
FINITE VOLUMES FOR COMPLEX APPLICATIONS VIII-HYPERBOLIC, ELLIPTIC AND PARABOLIC PROBLEMS | 2017年 / 200卷
关键词：
Shallow-water equations; Finite volume schemes; Source term approximations; Well-balanced schemes; HYPERBOLIC CONSERVATION-LAWS; WELL-BALANCED SCHEME; HYDROSTATIC RECONSTRUCTION; RIEMANN PROBLEM; SOURCE TERMS;
D O I：
10.1007/978-3-319-57394-6_30
中图分类号：
O414.1 [热力学];
学科分类号：
摘要：
We introduce a new Godunov-type finite volume scheme for the Shallow Water equations based on a three-waves Approximate Riemann Solver. By linearizing the Bernoulli and consistency equations, the resulting scheme is positive, well-balanced and permits to improve the accuracy of numerical results compared with other methods. The proposed scheme is particularly suitable for simulations of overland flows on stepped slopes.
引用
收藏
页码：275 / 283
页数：9
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