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.
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