Recent developments in applied mathematics and mechanics: theory, experiment and practice. Devoted to the 80th anniversary of academician N.N.Yanenko

Akademgorodok, Novosibirsk, Russia, June 24 - 29, 2001



Abstracts


Novosibirsk participants

A numerical method of solving 3D compressible Navier-Stokes equations for flow simulations in wide range of Mach numbers

Chirkov D.V., Cherny S.G.

Novosibirsk State University,
Institute of Computational Technologies SB RAS

For investigation of flow features, appearing in the flow region due to presence of essentially subsonic zones as well as zones with relatively high Mach number, a numerical method for solving 3D compressible Navier-Stokes equations is presented. The method is based on an implicit finite volume TVD scheme of second order of accuracy. The linearized system of finite-difference equations is solved using effective approximate LU-factorization. Different ways of inviscid flux approximation and their influence on accuracy and convergence rate are investigated. Series of test problems computations showed high performance and efficiency of the presented method and its applicability in wide range of Mach number.

Note. Abstracts are published in author's edition



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