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JOURNALS // Numerical methods and programming // Archive

Num. Meth. Prog., 2018 Volume 19, Issue 1, Pages 51–62 (Mi vmp898)

A method of adaptive artificial viscosity for solving numerically the equations of a viscous heat-conducting compressible gas

D. V. Ivanova, G. M. Kobel'kovb, M. A. Lozhnikovb, A. F. Kharisova

a Korotkov Research and Production Company ``Temp'', Moscow
b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper is devoted to the numerical solution of the dynamics equations for a viscous heat-conducting compressible gas by the method of adaptive viscosity on unstructured tetrahedral meshes. A combination of the MacCormack method and the Lax-Wendroff method allows one to monotonize the difference scheme using the method of frozen coefficients. The numerical results are in good agreement with experimental data.

Keywords: numerical simulation, gas dynamics, unstructured meshes, artificial viscosity.

UDC: 519.6

Received: 20.11.2017



© Steklov Math. Inst. of RAS, 2024