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

Matthieu Crespo
Fluid Mechanics Department, ENSICA 1 Place Emile Blouin, 31056 Toulouse cedex 5, France

Stephane Jamme
Department of Aerodynamics and Propulsion (DAEP) ISAE-SUPAERO, University of Toulouse 10 Avenue Edouard Belin, 31055 Toulouse, France

Patrick Chassaing
Département de Mécanique des Fluides, E.N.S.I.C.A. 1 Place Emile Blouin, 31056 Toulouse Cedex, France; Institut de Mécanique des Fluides de Toulouse Allée du Professeur Camille Soula, 31400 Toulouse, France

要約

Direct numerical simulation is used to study the interaction 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 turbulences (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 during the interaction for the velocity cross-correlation g u''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 dissipation 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.