Interaction of Isotropic Turbulence with a Shock Wave
Final rept. 1 Jan 1989-31 Dec 1991,
STANFORD UNIV CA DEPT OF MECHANICAL ENGINEERING
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As a first step to understand the compressibility effects, interaction of isotropic quasi-incompressible turbulence with a weak shock wave was studied by three-dimensional time-dependent direct numerical simulations. In addition, linear analysis was used to study interaction of isotropic turbulence with shock waves of a wide range of strengths. The effects of the fluctuation Mach number M sub t and the average Mach number M sub 1 superscript u of the upstream turbulence on turbulence statistics were investigated. Both numerical simulations and linear analyses of the interaction show that turbulence is enhanced during the interaction with a shock wave. Turbulent kinetic energy TKE and transverse vorticity components are amplified, and turbulent length scales are decreased. The predictions of the linear analyses compare favorably with simulation results for flows with M sub t M sub 1 superscript U-1, which suggests that the amplification mechanism is mainly linear.
- Fluid Mechanics