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.
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页码：275 / 283
页数：9
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