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

页码：714 / 734

页数：21

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