Effect of compressibility on turbulent velocity gradients and small-scale structure

References

• Ashurst , W. T. , Kerstein , A. R. , Kerr , R. M. and Gibson , C. H. 1987 . Alignment of vorticity and scalar gradient with strain rate in simulated Navier-Stokes turbulence . Phys. Fluids , 30 : 2343 – 2353 .
   Web of Science ®Google Scholar
• She , Z-S , Jackson , E. and Orszag , S. A. 1990 . Intermittent vortex structures in homogeneous isotropic turbulence . Nature , 344 : 226 – 228 .
   Web of Science ®Google Scholar
• Kalelkar , C. 2006 . Statistics of pressure fluctuations in decaying isotropic turbulence . Phys. Rev. E , 73 : 046301
   Web of Science ®Google Scholar
• Cantwell , B. J. 1992 . Exact solution of a restricted euler equation for the velocity gradient tensor . Phys. Fluids A , 4 : 782 – 793 .
   Web of Science ®Google Scholar
• Li , Y. and Meneveau , C. 2005 . Origin of non-Gaussian statistics in hydrodynamic turbulence . Phys. Rev. Lett. , 95 : 164502
   PubMed Web of Science ®Google Scholar
• Vieillefosse , P. 1982 . Local interaction between vorticity and shear in a perfect incompressible fluid . J. Physi. (Paris) , 43 : 837 – 842 .
   Google Scholar
• Jeong , E. and Girimaji , S. S. 2003 . Velocity-gradient dynamics in turbulence: effect of viscosity and forcing . Theor. Comput. Fluid Dynam. , 16 : 421 – 432 .
   Web of Science ®Google Scholar
• Sarkar , S. 1995 . The stabilizing effect of compressibility in turbulent shear flow . J. Fluid Mech. , 282 : 163
   Web of Science ®Google Scholar
• Simone , A. , Coleman , G. N. and Cambon , C. 1997 . The effect of compressibility on turbulent shear flow: a rapid-distortion-theory and direct-numerical-simulation study . 330 : 307 – 338 .
   Google Scholar
• Erlebacher , G. and Sarkar , S. 1993 . Statistical analysis of the rate of strain tensor in compressible homogeneous turbulence . Phys. Fluids A , 5 : 3240 – 3254 .
   Web of Science ®Google Scholar
• Kosovic , B. , Pullin , D. I. and Samtaney , R. 2002 . Subgrid-scale modelling for large eddy simulations of compressible turbulence . Phys. Fluids , 14 : 1511 – 1522 .
   Web of Science ®Google Scholar
• Suman , S. and Girimaji , S. S. 2009 . 2008, Homogeneized Euler Equation: A model for compressible velocity gradient dynamics . J. Fluid Mech. , 620 : 177 – 194 .
   Web of Science ®Google Scholar
• Ristorcelli , J. R. and Blaisdell , G. A. 1997 . Consistent initial conditions for DNS of compressible turbulence . Phys. Fluids , 9 : 1
   Web of Science ®Google Scholar
• Lee , K. C. and Girimaji , S. S. 2008 . Heat release effects on energy redistribution in compressible turbulence Submitted to Phys. Fluids(in press)
   Google Scholar
• Blaisdell , G. A. , Mansour , N. N. and Reynolds , W. C. 1993 . Compressibility effects on the growth and structure of homogeneous turbulent shear flow . J. Fluid Mech. , 256 : 443 – 485 .
   Web of Science ®Google Scholar
• Bhatnagar , P. L. , Gross , E. P. and Krook , M. 1954 . A model for collision processes in gases I: Small amplitude processes in charged and neutral one-component systems . Phys. Rev. , 94 : 511 – 525 .
   Web of Science ®Google Scholar
• Xu , K. 2001 . A Gas-Kinetic BGK Scheme for the Navier-Stoke Equation and its Connection with Artificial Dissipation and Godunov Method . J. Comput. Phys. , 171 : 289 – 335 .
   Web of Science ®Google Scholar
• Kerimo , J. and Girimaji , S. S. 2007 . Boltzmann-BGK approach to simulating weakly compressible 3D turbulence: comparison between lattice Boltzmann and gas kinetic methods . J. Turb. , 8 : N 46
   Web of Science ®Google Scholar
• Ristorcelli , J. R. 1997 . A pseudo sound constitutive relationship for the dilatational covariances in compressible turbulence . J. Fluid Mech. , 347 : 37 – 70 .
   Web of Science ®Google Scholar
• Bikkani , R. and Girimaji , S. S. 2007 . Role of pressure in nonlinear velocity gradient dynamics in turbulence . Phys. Rev. E , 75 : 036307
   Web of Science ®Google Scholar
• Frisch , U. 1995 . “ The legacy of A. N. Kolmogorov ” . Cambridge, , United Kingdom : Cambridge University Press .
   Google Scholar