MODELING OF HYPERSONIC FLOWS: INFLUENCE OF
THE STARTING CONDITIONS OF THE ALGORITHM ON
THE FINAL SOLUTION IN THE VICINITY OF BIFURCATION POINTS

G. A. Tarnavskii,a G. S. Khakimzyanov,b and A. G. Tarnavskiic 

UDC 519.6:531.332

We investigate the influence of the starting conditions 
of the computational algorithm (a discrete analog of the initial data 
of a continuous differential problem) on the trajectory of calculation 
advancement in the space of solutions and on the obtained final (stationary, 
quasi-stationary, or nonstationary) solutions of Navier-Stokes 
equations for mathematical modeling of high-speed gas flows. Particular 
consideration is given to the analysis of the behavior of trajectories 
in the vicinity of the bifurcation points of branching of solutions. 
Questions associated with the "carbuncle" effect - a special kind 
of instability of a part of the shock front at a hypersonic flow over 
the front part of a blunt-nosed body - are discussed.

aInstitute of Theoretical and Applied Mechanics, Siberian Branch 
of the Russian Academy of Sciences, 4/1 Institutskaya Str., Novosibirsk, 
630090, Russia; email: tarnav@itam.nsc.ru; 
bInstitute of Computer Technologies, Siberian Branch 
of the Russian Academy of Sciences; email: khak@ict.nsc.ru; 
cNovosibirsk State University; email: tarnav@itam.nsc.ru. 
Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 76, No. 5, pp. 
54-60, September-October, 2003. Original article submitted 
November 4, 2002.