Regularized Equations for Numerical Simulation of Flows in the Two-Layer Shallow Water Approximation

被引：6
|
作者：
Elizarova, T. G. [1 ]
Ivanov, A. V. [2 ]
机构：
[1] Russian Acad Sci, Inst Appl Math, Moscow 125047, Russia
[2] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119991, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 05期
基金：
俄罗斯基础研究基金会;
关键词：
two-layer shallow water equations; quasi-gasdynamic approach; regularized equations; finite-volume method; central-difference scheme; one-dimensional flows; transcritical flows; SYSTEM; SCHEMES; WAVE;
D O I：
10.1134/S0965542518050081
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Regularized equations describing hydrodynamic flows in the two-layer shallow water approximation are constructed. A conditionally stable finite-difference scheme based on the finitevolume method is proposed for the numerical solution of these equations. The scheme is tested using several well-known one-dimensional benchmark problems, including Riemann problems.
引用
收藏
页码：714 / 734
页数：21
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