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

共 29 条

[21] A modified Rusanov scheme for shallow water equations with topography and two phase flows [J].

Mohamed, Kamel ;

Benkhaldoun, F. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2016, 131 (06)

[22] Numerical Simulating Open-Channel Flows with Regular and Irregular Cross-Section Shapes Based on Finite Volume Godunov-Type Scheme [J].

Xin, Xiaokang ;

Bai, Fengpeng ;

Li, Kefeng .

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2021, 18 (04)

[23] A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography [J].

Dao Huy Cuong ;

Mai Duc Thanh .

ADVANCES IN COMPUTATIONAL MATHEMATICS, 2017, 43 (05) :1197-1225

[24] Numerical simulations of the shallow water equations with Coriolis forces in full Froude number by an asymptotic preserving DG scheme [J].

Xie, Xian ;

Dong, Haiyun ;

Li, Maojun .

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2025,

[25] Numerical simulations of dam-break flows of viscoplastic fluids via shallow water equations [J].

Muchiri, David Kibe ;

Hewett, James N. ;

Sellier, Mathieu ;

Moyers-Gonzalez, Miguel ;

Monnier, Jerome .

THEORETICAL AND COMPUTATIONAL FLUID DYNAMICS, 2024, 38 (04) :557-581

[26] A well-balanced van Leer-type numerical scheme for shallow water equations with variable topography [J].

Dao Huy Cuong ;

Mai Duc Thanh .

Advances in Computational Mathematics, 2017, 43 :1197-1225

[27] A LARGE TIME-STEP AND WELL-BALANCED LAGRANGE-PROJECTION TYPE SCHEME FOR THE SHALLOW WATER EQUATIONS [J].

Chalons, Christophe ;

Kestener, Pierre ;

Kokh, Samuel ;

Stauffert, Maxime .

COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (03) :765-788

[28] The numerical simulations based on the NND finite difference scheme for shallow water wave equations including sediment concentration [J].

Luo, Zhendong ;

Gao, Junqiang .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2015, 294 :245-258

[29] A FULLY WELL-BALANCED LAGRANGE-PROJECTION-TYPE SCHEME FOR THE SHALLOW-WATER EQUATIONS [J].

Castro Diaz, Manuel J. ;

Chalons, Christophe ;

Morales De Luna, Tomas .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 2018, 56 (05) :3071-3098

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