روش‌هاي بر ارزش شوك و تسخير شوك به منظور حل جريان تقارن محوري و ماوراء صوت حول دماغه‌ي اجسام سرپخ با اثرات گاز تعادلي‌

S OCK FITTING AND SHOCK CAPTURING SCHEMES FOR COMPUTATION OF HYPERSONIC :A. ISYMMETRIC FLOWS OVER IilLUNT NOSES INCLUDING REAL GAS EFFECTS

In th is stn dy, th e numerical simnlations of hyp ersoni c axisymmetric viscous flows over blunt noses, including equilibrium gas effects, are performed by using shock fitting and shock capt ur ing schemes to examine the effects of shock boundary treatment on the accuracy of computations. The numerical solution of the thin-layer NavierStokes (TLNS) eqnations in the nose region is obtained by using the impli cit non-i terative finit e-difference algorithm of Beam and Warming and an appropriate formulation of th e shock boundary condition for th e shock fit ting procedure, with considering real gas effects, is implemen ted . The t hermody namic and transport propert ies of ai r are calculated by using th e simplified curve fit s develop ed by Srinivasan et. al .. The num erical solutions of hyper son ic equilibrium flow over a sphere a t Mach number of 16.89 are performed and t he calc ulations for t he flowfield and th e shock shape ar e compared with available numeri cal results. The computations ar e pr esented for both equilibrium and perfect gas models and the results of flowfield and shock shape for the shock fitting and shock capt nr ing pro cedures a re compared with each ot her. In addit ion, th e role of nnrn eri cal dis sipation and t he effects of grid size on t he acc uracy of the results are investigated .