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JOURNALS // Matematicheskoe modelirovanie // Archive

Matem. Mod., 1993 Volume 5, Number 7, Pages 29–40 (Mi mm1989)

Computational methods and algorithms

Group analysis for gas dynamic equations in arbitrary coordinate system

N. A. Dar'in

Institute for Mathematical Modelling, Russian Academy of Sciences

Abstract: Results of group classification for one-dimensional gas dynamic equations are presented. These equations are taken in the form used for adaptive and moving difference grids. It is shown that maximal group is admitted in the case containing mass Lagrange coordinates. Relationship between operators admitted in Euler and Lagrange coordinates along with operators in arbitrary coordinates is considered by means of integrable differential forms.

Received: 13.02.1991



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