DNS OF THE INTERACTION BETWEEN A SHOCK WAVE AND A TURBULENT SHEAR FLOW: SOME EFFECTS OF ANISOTROPY

Direct numerical simulation is used to study the in-teraction of a Mach 1.5 shock wave and various types of anisotropic turbulent flows at Reλ = 47. We compare the interaction of isotropic, axisymmetric and sheared turbu-lences (sometimes combined), with a specific interest for the sheared situation. The sign and magnitude of the correlation between the velocity and temperature fluctuations are found to have a crucial influence on the kinetic energy amplification across the shock. A decrease in magnitude is observed dur-ing the interaction for the velocity cross-correlation gu′′v′′. The balance equation of this quantity is investigated and the terms responsible for this behaviour are identified. The shear stress effect upon fluctuating vorticity and the dis-sipation length scale is also presented. Thermodynamic fluctuations are finally analyzed, showing the departure from the isentropic state in the sheared situation compared to the isotropic one