Numerical Simulation of Compressible Mixing Layers

Abstract Three-dimensional spatially developing compressible planar mixing layers are studied numerically for convective Mach number M c  = 0.4, 0.8 and 1.2. The present results for the flow-field structures, the mean velocity profiles, the mixing-layer growth rate and Reynolds stresses agree well with those of experiments and other numerical studies. The normalized growth rate decreases with increasing M c . Shocklets are found to exist in the mixing layer at M c  = 1.2 and their formation mechanism shows good agreement with the scenario of flow around a bluff body. The effect of compressibility on the large-scale structures is stronger than that on the small-scale ones. The budget of the Reynolds-stress transport equations agree well with that from the temporal developing results. The magnitudes of most of the contributing terms in the budget reduce with increased compressibility effect except for the pressure-dilatation term which is very small.

[1]  T. Poinsot.  Boundary conditions for direct simulations of compressible viscous flows , 1992 .

[2]  Jinhee Jeong,et al.  On the identification of a vortex , 1995, Journal of Fluid Mechanics.

[3]  Song Fu,et al.  A compressible Navier-Stokes flow solver with scalar transport , 2005 .

[4]  Mo Samimy,et al.  Effects of compressibility on the characteristics of free shear layers , 1990 .

[5]  Mo Samimy,et al.  Compressibility effects in free shear layers , 1990 .

[6]  Sutanu Sarkar,et al.  A study of compressibility effects in the high-speed turbulent shear layer using direct simulation , 2002, Journal of Fluid Mechanics.

[7]  Sutanu Sarkar,et al.  Simulations of Spatially Developing Two-Dimensional Shear Layers and Jets , 1997 .

[8]  Ronald K. Hanson,et al.  EVOLUTION AND GROWTH OF LARGE SCALE STRUCTURES IN HIGH COMPRESSIBILITY MIXING LAYERS , 2001, Proceeding of Second Symposium on Turbulence and Shear Flow Phenomena.

[9]  Jonathan B. Freund,et al.  Compressibility effects in a turbulent annular mixing layer. Part 1. Turbulence and growth rate , 1997, Journal of Fluid Mechanics.

[10]  S. Goebel,et al.  EXPERIMENTAL STUDY OF COMPRESSIBLE TURBULENT MIXING LAYERS , 1991 .

[11]  S. Ragab,et al.  Linear instabilities in two‐dimensional compressible mixing layers , 1989 .

[12]  A. Roshko,et al.  The compressible turbulent shear layer: an experimental study , 1988, Journal of Fluid Mechanics.

[13]  A. Roshko,et al.  On density effects and large structure in turbulent mixing layers , 1974, Journal of Fluid Mechanics.

[14]  Ephraim Gutmark,et al.  Mixing Enhancement in Supersonic Free Shear Flows , 1995 .

[15]  Neil D. Sandham,et al.  Compressible mixing layer - Linear theory and direct simulation , 1989 .

[16]  Neil D. Sandham,et al.  Compressible mixing layer growth rate and turbulence characteristics , 1996, Journal of Fluid Mechanics.

[17]  A. Krothapalli,et al.  Experimental study of a compressible countercurrent turbulent shear layer , 1996 .

[18]  J. Bonnet,et al.  Velocity field characteristics in supersonic mixing layers , 1994 .

[19]  Kun Xu,et al.  A gas-kinetic BGK scheme for the Navier-Stokes equations and its connection with artificial dissipation and Godunov method , 2001 .

[20]  Dimitri Papamoschou,et al.  Evidence of shocklets in a counterflow supersonic shear layer , 1995 .

[21]  Song Fu,et al.  Numerical simulation of high-speed planar mixing layer , 2003 .

[22]  Kun Xu,et al.  A multidimensional gas-kinetic BGK scheme for hypersonic viscous flow , 2005 .

[23]  A. Kourta,et al.  Computation of supersonic mixing layers , 2002 .

[24]  Jean-Paul Bonnet,et al.  Influence of inlet pressure conditions on supersonic turbulent mixing layers , 1997 .

[25]  Nagi N. Mansour,et al.  The structure of the compressible reacting mixing layer: Insights from linear stability analysis , 1998 .