CERTAIN ASPECTS OF COMPUTER SIMULATION OF HYPERSONIC FLOWS: 
STABILITY, NONUNIQUENESS, AND BIFURCATION OF NUMERICAL 
SOLUTIONS OF THE NAVIER-STOKES EQUATIONS
G. A. Tarnavskii and S. I. Shpak

UDC 519.6:531.332.533.6

A number of problems associated with the nonuniqueness 
of numerical solutions of the Navier-Stokes equations 
used for simulating processes of a hypersonic real gas flow past blunt 
bodies are considered. The processes of evolution of a stationary 
pattern of flow perturbed by a single pulse at an initial time instant 
are considered at different values of the governing parameters of 
the problem. The instability of the bifurcation type resulting in 
transition of the nonstationary process from one branch of solution 
to another and the attainment of a stationary regime is investigated.

Institute of Theoretical and Applied Mechanics, Siberian 
Branch of the Russian Academy of Sciences, Novosibirsk, Russia; email: 
shpak@itam.nsc.ru. Translated from Inzhenerno-Fizicheskii Zhurnal, 
Vol. 74, No. 3, pp. 125-132, May-June, 2001. 
Original article submitted October 31, 2000.

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