Direct numerical simulations of isotropic compressible turbulence: Influence of compressibility on dynamics and structures

In the present paper the statistical properties of compressible isotropic turbulence are analyzed by means of direct numerical simulations. The scope of the work is to evaluate the influence of compressibility on the time evolution of mean turbulence properties and to quantify the statistical properties of turbulent structures, their dynamics and similarities with the incompressible case. Simulations have been carried out at various turbulent Mach numbers and compressibility ratios by using a conservative hybrid scheme that relies on an optimized weighted essentially nonoscillatory approach for the convective terms and compact differencing for the viscous contributions. In order to identify similarities with incompressible turbulence we have also carried out an analysis in the plane of the second (Q*) and third (R*) invariants of the anisotropic part of the deformation rate tensor. The simulations show that the joint probability density function (Q*,R*) has a universal structure, as found in incompressibl...

[1]  Parviz Moin,et al.  EDDY SHOCKLETS IN DECAYING COMPRESSIBLE TURBULENCE , 1991 .

[2]  Andrew Ooi,et al.  Dynamics of the velocity gradient tensor invariants in isotropic turbulence , 1998 .

[3]  J. R. Ristorcelli,et al.  CONSISTENT INITIAL CONDITIONS FOR THE DNS OF COMPRESSIBLE TURBULENCE , 1996 .

[4]  César Dopazo,et al.  Dynamics of velocity gradient invariants in turbulence: Restricted Euler and linear diffusion models , 1998 .

[5]  L. Kovasznay,et al.  Non-linear interactions in a viscous heat-conducting compressible gas , 1958, Journal of Fluid Mechanics.

[6]  A. Kerstein,et al.  Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence , 1987 .

[7]  A. Vincent,et al.  The dynamics of vorticity tubes in homogeneous turbulence , 1994, Journal of Fluid Mechanics.

[8]  S. Osher,et al.  Efficient implementation of essentially non-oscillatory shock-capturing schemes,II , 1989 .

[9]  K. Mahesh,et al.  Evolution of the shock front and turbulence structures in the shock/turbulence interaction , 1992 .

[10]  Ravi Samtaney,et al.  Direct numerical simulation of decaying compressible turbulence and shocklet statistics , 2001 .

[11]  Gordon Erlebacher,et al.  The analysis and modelling of dilatational terms in compressible turbulence , 1989, Journal of Fluid Mechanics.

[12]  M. S. Chong,et al.  Turbulence structures of wall-bounded shear flows found using DNS data , 1998, Journal of Fluid Mechanics.

[13]  G. Erlebacher,et al.  Statistical analysis of the rate of strain tensor in compressible homogeneous turbulence , 1992 .

[14]  S. Lele.  Compact finite difference schemes with spectral-like resolution , 1992 .

[15]  J. R. Ristorcelli,et al.  A pseudo-sound constitutive relationship for the dilatational covariances in compressible turbulence , 1995, Journal of Fluid Mechanics.

[16]  M. S. Chong,et al.  A general classification of three-dimensional flow fields , 1990 .

[17]  L. Kovasznay.  Turbulence in Supersonic Flow , 1953 .

[18]  Topological visualisation of focal structures in free shear flows , 1994 .

[19]  A. Perry,et al.  A study of the turbulence structures of wall-bounded shear flows , 1996 .

[20]  B. Cantwell,et al.  Topology of fine-scale motions in turbulent channel flow , 1996, Journal of Fluid Mechanics.

[21]  Andrew Ooi,et al.  A study of the evolution and characteristics of the invariants of the velocity-gradient tensor in isotropic turbulence , 1999, Journal of Fluid Mechanics.

[22]  Sergio Pirozzoli,et al.  Development of optimized weighted‐ENO schemes for multiscale compressible flows , 2003 .

[23]  A. Vincent,et al.  The spatial structure and statistical properties of homogeneous turbulence , 1991, Journal of Fluid Mechanics.

[24]  G. Blaisdell,et al.  Investigation of the dilatational dissipation in compressible homogeneous shear flow , 1992 .

[25]  Brian J. Cantwell,et al.  On the behavior of velocity gradient tensor invariants in direct numerical simulations of turbulence , 1993 .

[26]  Brian J. Cantwell,et al.  Exact solution of a restricted Euler equation for the velocity gradient tensor , 1992 .

[27]  G. Blaisdell,et al.  Evaluation of the dynamic model for simulations of compressible decaying isotropic turbulence , 1996 .

[28]  S. Orszag,et al.  Enstrophy budget in decaying compressible turbulence , 1990 .

[29]  Eliezer Kit,et al.  Experimental investigation of the field of velocity gradients in turbulent flows , 1992, Journal of Fluid Mechanics.