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Numerical methods and programming, 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.
Received: 20.11.2017
UDC: 519.6
Language: Russian
Citation: D. V. Ivanov, G. M. Kobel'kov, M. A. Lozhnikov, A. F. Kharisov, “A method of adaptive artificial viscosity for solving numerically the equations of a viscous heat-conducting compressible gas”, Num. Meth. Prog., 19:1 (2018), 51–62
Citation in format AMSBIB
\Bibitem{IvaKobLoz18}
\by D.~V.~Ivanov, G.~M.~Kobel'kov, M.~A.~Lozhnikov, A.~F.~Kharisov
\paper A method of adaptive artificial viscosity for solving numerically the equations of a viscous heat-conducting compressible gas
\jour Num. Meth. Prog.
\yr 2018
\vol 19
\issue 1
\pages 51--62
\mathnet{http://mi.mathnet.ru/vmp898}
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