Experimental Studies of Difference Gas Dynamics Models with Shock Waves

被引：4

作者：

Godunov, S. K. ^{[1
]}

Klyuchinskii, D. V. ^{[2
]}

Fortova, S. V. ^{[3
]}

Shepelev, V. V. ^{[3
]}

机构：

[1] Russian Acad Sci, Siberian Branch, Sobolev Inst Math, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, Novosibirsk 630090, Russia

[3] Russian Acad Sci, Inst Comp Aided Design, Moscow 123056, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2018年 / 58卷 / 08期

基金：

俄罗斯基础研究基金会; 俄罗斯科学基金会;

关键词：

gas dynamics equations; Godunov's scheme; Riemann problem; shock waves; discontinuous solutions; RIEMANN SOLVERS; SCHEMES;

D O I：

10.1134/S0965542518080067

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linearized version of the classical Godunov scheme as applied to nonlinear discontinuity decays is described. It is experimentally shown that this version guarantees an entropy nondecrease, which makes it possible to simulate entropy growth on shock waves. The structure of shock waves after the discontinuity decays is studied. It is shown that the width of the shock waves and the time required for their formation depend on the choice of the Courant number. The accuracy of the discontinuous solutions is tested numerically.

引用

页码：1201 / 1216

页数：16

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