Regularized Shallow Water Equations and an Efficient Method for Numerical Simulation of Shallow Water Flows

被引：18

作者：

Bulatov, O. V. ^{[1
]}

Elizarova, T. G. ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Fac Phys, Moscow 119992, Russia

[2] Russian Acad Sci, Inst Appl Math, Moscow 125047, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2011年 / 51卷 / 01期

基金：

俄罗斯基础研究基金会;

关键词：

quasi-gasdynamic and quasi-hydrodynamic equations; regularized shallow water equations; finite volume method; SCHEMES;

D O I：

10.1134/S0965542511010052

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Regularized shallow water equations are derived as based on a regularization of the Navier-Stokes equations in the form of quasi-gasdynamic and quasi-hydrodynamic equations. Efficient finite-difference algorithms based on the regularized shallow water equations are proposed for the numerical simulation of shallow water flows. The capabilities of the model are examined by computing a test Riemann problem, the flow over an obstacle, and asymmetric dam break.

引用

页码：160 / 173

页数：14

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