Steady states and well-balanced schemes for shallow water moment equations with topography

被引：6

作者：

Koellermeier, Julian ^{[1
]}

Pimentel-Garcia, Ernesto ^{[2
]}

机构：

[1] Katholieke Univ Leuven, Dept Comp Sci, B-3001 Leuven, Belgium

[2] Univ Malaga, Dept Anal Matemat, Malaga 14071, Spain

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2022年 / 427卷

关键词：

Shallow water equations; Hyperbolic moment equations; Well-balanced; Steady states; NONCONSERVATIVE HYPERBOLIC SYSTEMS; RIEMANN PROBLEM; WET/DRY FRONTS; NUMERICAL TREATMENT; ORDER; RECONSTRUCTION; SOLVERS; FLOWS;

D O I：

10.1016/j.amc.2022.127166

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of the steady states. After proving hyperbolicity of the new model, the steady states are fully identified. A wellbalanced scheme is adopted to the specific structure of the new model and allows to preserve the steady states in numerical simulations. (C) 2022 Elsevier Inc. All rights reserved.

引用

页数：28

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