Statistics and structures of pressure and density in compressible isotropic turbulence

References

• Hinze , J. D. 1959 . “ Turbulence ” . New York : McGraw-Hill .
   Google Scholar
• Gotoh , T. and Rogallo , R. 1999 . Intermittency and scaling of pressure at small scales in forced isotropic turbulence . J. Fluid Mech. , 396 : 257 – 285 . doi: 10.1017/S0022112099005972
   Web of Science ®Google Scholar
• Gotoh , T. and Fukayama , D. 2001 . Pressure spectrum in homogeneous turbulence . Phys. Rev. Lett. , 86 : 3775 – 3778 . doi: 10.1103/PhysRevLett.86.3775
   PubMed Web of Science ®Google Scholar
• Tsuji , Y. and Ishihara , T. 2003 . Similarity scaling of pressure fluctuation in turbulence . Phys. Rev. E , 68 : 026309 doi: 10.1103/PhysRevE.68.026309
   Google Scholar
• Xu , H. , Ouellette , N. , Vincenzi , D. and Bodenschatz , E. 2007 . Acceleration correlations and pressure structure functions in high-Reynolds number turbulence . Phys. Rev. Lett. , 99 : 204501 doi: 10.1103/PhysRevLett.99.204501
   PubMed Web of Science ®Google Scholar
• Cao , N. , Chen , S. and Doolen , G. 1999 . Statistics and structures of pressure in isotropic turbulence . Phys. Fluids , 11 : 2235 – 2250 . doi: 10.1063/1.870085
   Web of Science ®Google Scholar
• Vedula , P. and Yeung , P. 1999 . Similarity scaling of acceleration and pressure statistics in numerical simulations of isotropic turbulence . Phys. Fluids , 11 : 1208 – 1220 . doi: 10.1063/1.869893
   Web of Science ®Google Scholar
• Yeung , P. K. , Donzis , D. A. and Sreenivasan , K. R. 2012 . Dissipation, enstrophy and pressure statistics in turbulence simulations at high Reynolds numbers . J. Fluid Mech. , 700 : 5 – 15 . doi: 10.1017/jfm.2012.5
   Web of Science ®Google Scholar
• Donzis , D. A. , Sreenivasan , K. R. and Yeung , P. K. 2012 . Some results on the Reynolds number scaling of pressure statistics in isotropic turbulence . Physica D , 241 : 164 – 168 . doi: 10.1016/j.physd.2011.04.015
   Web of Science ®Google Scholar
• Yao , H.-D. , He , G. W. , Wang , M. and Zhang , X. 2008 . Time correlations of pressure in isotropic turbulence . Phys. Fluids , 20 : 025105 doi: 10.1063/1.2870111
   Google Scholar
• Lee , S. and Lee , C. 2005 . Intermittency of acceleration in isotropic turbulence . Phys. Rev. E , 71 : 056310 doi: 10.1103/PhysRevE.71.056310
   Google Scholar
• Kalelkar , C. 2006 . Statistics of pressure fluctuations in decaying isotropic turbulence . Phys. Rev. E , 73 : 046301 doi: 10.1103/PhysRevE.73.046301
   Web of Science ®Google Scholar
• Pirozzoli , S. and Grasso , F. 2004 . Direct numerical simulations of isotropic compressible turbulence: Influence of compressibility on dynamics and structures . Phys. Fluids , 16 : 4386 – 4407 . doi: 10.1063/1.1804553
   Web of Science ®Google Scholar
• Sagaut , P. and Cambon , C. 2008 . “ Homogeneous Turbulence Dynamics ” . Cambridge , , England : Cambridge University Press .
   Google Scholar
• Miura , H. and Kida , S. 1995 . Acoustic energy exchange in compressible turbulence . Phys. Fluids , 7 : 1732 – 1742 . doi: 10.1063/1.868488
   Web of Science ®Google Scholar
• Aluie , H. 2011 . Compressible turbulence: The cascade and its locality . Phys. Rev. Lett. , 106 : 174502 doi: 10.1103/PhysRevLett.106.174502
   PubMed Web of Science ®Google Scholar
• Aluie , H. , Li , S. and Li , H. 2012 . Compressible turbulence: The cascade and its locality . Astrophys. J. Lett. , 751 : L29 doi: 10.1088/2041-8205/751/2/L29
   Web of Science ®Google Scholar
• Aluie , H. 2013 . Scale decomposition in compressible turbulence . Physica D , 247 : 54 – 65 . doi: 10.1016/j.physd.2012.12.009
   Web of Science ®Google Scholar
• Wang , J. , Yang , Y. , Shi , Y. , Xiao , Z. , He , X. T. and Chen , S. 2013 . Cascade of kinetic energy in three-dimensional compressible turbulence . Phys. Rev. Lett. , 110 : 214505 doi: 10.1103/PhysRevLett.110.214505
   PubMed Web of Science ®Google Scholar
• Kritsuk , A. G. , Wagner , R. and Norman , M. L. 2013 . Energy cascade and scaling in supersonic isothermal turbulence . J. Fluid Mech. , 729 : R1 doi: 10.1017/jfm.2013.342
   Google Scholar
• Galtier , S. and Banerjee , S. 2011 . Exact relation for correlation functions in compressible isothermal turbulence. . Phys. Rev. Lett. , 107 : 134501 doi: 10.1103/PhysRevLett.107.134501
   PubMed Web of Science ®Google Scholar
• Falkovich , G. , Fouxon , I. and Oz , Y. 2010 . New relations for correlation functions in Navier-Stokes turbulence . J. Fluid Mech. , 644 : 465 – 472 . doi: 10.1017/S0022112009993429
   Web of Science ®Google Scholar
• Wagner , R. , Falkovich , G. , Kritsuk , A. G. and Norman , M. L. 2012 . Flux correlations in supersonic isothermal turbulence . J. Fluid Mech. , 713 : 482 – 490 . doi: 10.1017/jfm.2012.470
   Web of Science ®Google Scholar
• Suman , S. and Girimaji , S. S. 2009 . Homogenized Euler equation: A model for compressible velocity gradient dynamics . J. Fluid Mech. , 620 : 177 – 194 . doi: 10.1017/S0022112008004631
   Web of Science ®Google Scholar
• Suman , S. and Girimaji , S. S. 2011 . Dynamical model for velocity-gradient evolution in compressible turbulence . J. Fluid Mech. , 683 : 289 – 319 . doi: 10.1017/jfm.2011.262
   Web of Science ®Google Scholar
• Suman , S. and Girimaji , S. S. 2012 . Velocity-gradient dynamics in compressible turbulence: Influence of Mach number and dilatation rate . J. Turbul. , 13 : 1 – 23 . doi: 10.1080/14685248.2011.649850
   Web of Science ®Google Scholar
• Andreopoulos , Y. , Agui , J. H. and Briassulis , G. 2000 . Shock wave-turbulence interactions . Annu. Rev. Fluid Mech. , 32 : 309 – 345 . doi: 10.1146/annurev.fluid.32.1.309
   Web of Science ®Google Scholar
• Larsson , J. and Lele , S. K. 2009 . Direct numerical simulation of canonical shock/turbulence interaction . Phys. Fluids , 21 : 126101 doi: 10.1063/1.3275856
   Web of Science ®Google Scholar
• Larsson , J. , Bermejo-Moreno , I. and Lele , S. K. 2013 . Reynolds- and Mach-number effects in canonical shock-turbulence interaction . J. Fluid Mech. , 717 : 293 – 321 . doi: 10.1017/jfm.2012.573
   Web of Science ®Google Scholar
• Wang , J. , Shi , Y. , Wang , L.-P. , Xiao , Z. , He , X. T. and Chen , S. 2012 . Scaling and statistics in three-dimensional compressible turbulence . Phys. Rev. Lett. , 108 : 214505 doi: 10.1103/PhysRevLett.108.214505
   PubMed Web of Science ®Google Scholar
• Bayly , B. , Levermore , C. and Passot , T. 1992 . Density variations in weakly compressible flows . Phys. Fluids A , 4 : 945 – 954 . doi: 10.1063/1.858275
   Web of Science ®Google Scholar
• Ni , Q. and Chen , S. 2012 . Statistics of active and passive scalars in one-dimensional compressible turbulence . Phys. Rev. E , 86 : 066307 doi: 10.1103/PhysRevE.86.066307
   Google Scholar
• Kim , J. and Ryu , D. 2005 . Density power spectrum of compressible hydrodynamic turbulent flows . Astrophys. J. , 630 : L45 – L48 . doi: 10.1086/491600
   Google Scholar
• Kowal , G. , Lazarian , A. and Beresnyak , A. 2007 . Density fluctuations in MHD turbulence: Spectra, intermittency, and topology . Astrophys. J. , 658 : 423 – 445 . doi: 10.1086/511515
   Web of Science ®Google Scholar
• Burkhart , B. , Falceta-Goncalves , D. , Kowal , G. and Lazarian , A. 2009 . Density studies of MHD interstellar turbulence: Statistical moments, correlations and bispectrum . Astrophys. J. , 693 : 250 – 266 . doi: 10.1088/0004-637X/693/1/250
   Web of Science ®Google Scholar
• Kida , S. and Orszag , S. A. 1990 . Enstrophy budget in decaying compressible turbulence . J. Sci. Comput. , 5 : 1 – 34 . doi: 10.1007/BF01063424
   Google Scholar
• Lee , S. , Lele , S. and Moin , P. 1991 . Eddy shocklets in decaying compressible turbulence . Phys. Fluids A , 3 : 657 – 664 . doi: 10.1063/1.858071
   Google Scholar
• Samtaney , R. , Pullin , D. I. and Kosovic , B. 2001 . Direct numerical simulation of decaying compressible turbulence and shocklet statistics . Phys. Fluids , 13 : 1415 – 1430 . doi: 10.1063/1.1355682
   Web of Science ®Google Scholar
• Wang , J. , Shi , Y. , Wang , L.-P. , Xiao , Z. , He , X. T. and Chen , S. 2011 . Effect of shocklets on the velocity gradients in highly compressible isotropic turbulence . Phys. Fluids , 23 : 125103 doi: 10.1063/1.3664124
   Web of Science ®Google Scholar
• Wang , J. , Wang , L.-P. , Xiao , Z. , Shi , Y. and Chen , S. 2010 . A hybrid numerical simulation of isotropic compressible turbulence . J. Comp. Phys. , 229 : 5257 – 5279 . doi: 10.1016/j.jcp.2010.03.042
   Web of Science ®Google Scholar
• Kida , S. and Orszag , S. A. 1990 . Energy and spectral dynamics in forced compressible turbulence . J. Sci. Comput. , 5 : 85 – 125 . doi: 10.1007/BF01065580
   Google Scholar
• Petersen , M. R. and Livescu , D. 2010 . Forcing for statistically stationary compressible isotropic turbulence . Phys. Fluids , 22 : 116101 doi: 10.1063/1.3488793
   Web of Science ®Google Scholar
• Federrath , C. , Roman-Duval , J. , Klessen , R. S. , Schmidt , W. and Mac Low , M. 2010 . Comparing the statistics of interstellar turbulence in simulations and observations. Solenoidal versus compressive turbulence forcing . Astron. Astrophys. , 512 : A81 doi: 10.1051/0004-6361/200912437
   Web of Science ®Google Scholar
• Balsara , D. S. and Shu , C. W. 2000 . Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy . J. Comput. Phys. , 160c : 405 – 452 . doi: 10.1006/jcph.2000.6443
   Web of Science ®Google Scholar
• Lele , S. K. 1992 . Compact finite difference schemes with spectral-like resolution . J. Comput. Phys. , 103 : 16 – 42 . doi: 10.1016/0021-9991(92)90324-R
   Web of Science ®Google Scholar
• Larsson , J. and Gustafsson , B. 2008 . Stability criteria for hybrid difference methods . J. Comput. Phys. , 227 : 2886 – 2898 . doi: 10.1016/j.jcp.2007.11.025
   Web of Science ®Google Scholar
• Wang , J. , Shi , Y. , Wang , L.-P. , Xiao , Z. , He , X. T. and Chen , S. 2012 . Effect of compressibility on the small scale structures in isotropic turbulence . J. Fluid Mech. , 713 : 588 – 631 . doi: 10.1017/jfm.2012.474
   Web of Science ®Google Scholar
• Wang , L.-P. , Chen , S. , Brasseur , J. G. and Wyngaard , J. C. 1996 . Examination of hypotheses in the Kolmogorov refined turbulence theory through high-resolution simulations. Part 1. Velocity field . J. Fluid Mech. , 309 : 113 – 156 . doi: 10.1017/S0022112096001589
   Web of Science ®Google Scholar
• Bec , J. and Khanin , K. 2007 . Burgers turbulence . Phys. Rep. , 447 : 1 – 66 . doi: 10.1016/j.physrep.2007.04.002
   Web of Science ®Google Scholar
• Cardy , J. , Falkovich , G. and Gawedzki , K. 2008 . “ Non-Equilibrium Statistical Mechanics and Turbulence ” . Cambridge , , England : Cambridge University Press .
   Google Scholar
• Benzi , R. , Biferale , L. , Fisher , R. T. , Kadanoff , L. P. , Lamb , D. Q. and Toschi , F. 2008 . Intermittency and universality in fully developed inviscid and weakly compressible turbulent flows . Phys. Rev. Lett. , 100 : 234503 doi: 10.1103/PhysRevLett.100.234503
   PubMed Web of Science ®Google Scholar
• Pope , S. B. 2000 . “ Turbulent Flows ” . Cambridge : Cambridge University Press .
   Google Scholar
• Miura , H. 2004 . Excitations of vortex waves in weakly compressible isotropic turbulence . J. Turbul. , 5 : 1 – 22 . doi: 10.1088/1468-5248/5/1/010
   Web of Science ®Google Scholar