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

页码：275 / 283

页数：9

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