Numerical analysis of a quasi-gasdynamic algorithm as applied to the Euler equations

被引：7

作者：

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

Shil'nikov, E. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Math Modeling, Moscow 125047, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2009年 / 49卷 / 11期

关键词：

quasi-gasdynamic algorithm; accuracy; stability; computational complexity; Riemann problem; acoustic disturbances; Euler equations;

D O I：

10.1134/S0965542509110050

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The computational properties of a quasi-gasdynamic algorithm are analyzed as applied to strong-shock Riemann problems and acoustic disturbance propagation. It is shown that a unified treatment can be given to these problems in the framework of the algorithm. Stability conditions are numerically obtained, and the error and computational complexity of the difference scheme are estimated.

引用

页码：1869 / 1884

页数：16

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