Abstract
In this study, various compressibility modifications are incorporated with Chien's (1982) k-epsilon turbulence model to simulate the shock-induced separation flows. The convective terms of transport equations are discretized by Harten's Total Variation Diminishing algorithm to achieve high accuracy. Moreover, a preconditioned Bi-Conjugate Gradient Stable scheme is employed to accelerate numerical convergence. The results show that the existing turbulence models with compressibility modifications which are made for the compressible mixing layer lead to underestimations of the growth rate of turbulence dissipation epsilon in shock-induced separation flows. Present work proposes a model related to compressibility effects in terms of the shock strength and freestream Mach number. The model coefficient is replaced by the factor of density gradient that is a sensor of shock strength, therefore giving better agreement with experimental data. (Author)
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