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JOURNALS // Matematicheskoe modelirovanie // Archive

Mat. Model., 2005 Volume 17, Number 3, Pages 99–119 (Mi mm173)

Total differential method for compressible gas flow modeling

S. A. Popov


Abstract: A new fundamental method for obtaining the finite-difference schemes is developed. It is based on the characteristic directions of gasdynamic general equations. The existing methods such as Split Coefficient Matrix method, Flux Vector Splitting method and Mesh-Characteristics method are considered to be the particular manifestation of this method. The numerical solution of two 2D aerodynamic problems is an example of the above-mentioned method application. Comparative analysis of calculation results carried out of finite-difference schemes based on two forms of initial differential equations has been effected. The obtained results are in close coincidence with experimental data.

Received: 20.05.2004



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