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Original Articles

Non-Gaussian statistical model of turbulence

Article: N24 | Published online: 30 Oct 2009

References

  • Kolmogorov , A. N. 1941 . Local structure of turbulence in an incompressible fluid for very large Reynolds number . Doklady Akademii Nauk SSSR , 30 : 299 – 303 . [CSA]
  • Kolmogorov , A. N. 1962 . A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number . Journal of Fluid Mechanics , 13 : 82 – 85 . [CSA]
  • Qian , J. 1997 . Inertial range and the finite Reynolds number effect of turbulence . Physical Review E , 55 : 337 – 342 . [CSA] [CROSSREF]
  • Qian , J. 1999 . Slow decay of the finite Reynolds number effect of turbulence . Physical Review E , 60 : 3409 – 3412 . [CSA] [CROSSREF]
  • Monin , A. S. and Yaglom , A. M. 1975 . Statistical Fluid Mechanics , Cambridge : MIT Press .
  • Frisch , U. Turbulence: The Legacy of A.N. Kolmogorov , Cambridge : MIT Press .
  • Sreenivasan , K. R. and Antonia , R. A. 1997 . The phenomenology of small-scale turbulence . Annual Review of Fluid Mechanics , 29 : 435 – 472 . [CSA] [CROSSREF]
  • Qian , J. 1998 . Normal and anomalous scaling of turbulence . Physical Review E , 58 : 7325 – 7329 . [CSA] [CROSSREF]
  • Qian , J. 2000 . Closure approach to high-order structure function of turbulence . Physical Review Letters , 84 : 646 – 649 . [PUBMED] [INFOTRIEVE] [CSA] [CROSSREF]
  • Qian , J. 2002 . Scaling of structure functions in homogeneous shear-flow turbulence . Physical Review E , 65 : 036301:1 – 6 . [CSA]
  • Qian , J. 2003 . An equality about the velocity derivative skewness in turbulence . Physics of Fluids , 15 : 1005 – 1011 . [CSA] [CROSSREF]
  • Lundgren , T. S. 2002 . Kolmogorov two-third law by matched asymptotic expansion . Physics of Fluids , 14 : 638 – 642 . [CSA] [CROSSREF]
  • Lundgren , T. S. 2003 . Kolmogorov turbulence by matched asymptotic expansion . Physics of Fluids , 15 : 1074 – 1081 . [CSA] [CROSSREF]
  • Gagne , T. and Villermaux , E. 1995 . “ Structure functions ” . In Turbulence: A Tentative Dictionary , Edited by: Tabeling , P. and Cardoso , O. pp. 125 – 130 . New York : Plenum Press .
  • Tabeling , P. , Zocchi , G. , Belin , F. , Maurer , J. and Willaime , H. 1996 . Probability density functions, skewness, and flatness in large Reynolds number turbulence . Physical Review E , 53 : 1613 – 1621 . [CSA] [CROSSREF]
  • Gotoh , T. , Fukayama , D. and Nakano , T. 2002 . Velocity field statistics in homogeneous steady turbulence obtained using a high resolution direct numerical simulation . Physics of Fluids , 14 : 1065 – 1081 . [CSA] [CROSSREF]
  • Belin , F. , Tabeling , P. and Williame , H. 1996 . Exponents of the structure functions in a low temperature helium experiment . Physica D , 93 : 52 – 63 . [CSA] [CROSSREF]
  • Kailasnath , P. , Sreenivasan , K. R. and Stolovitzky , G. 1992 . Probability density of velocity increments in turbulent flows . Physical Review Letters , 68 : 2766 – 2769 . [PUBMED] [INFOTRIEVE] [CSA] [CROSSREF]
  • Gagne , Y. , Castaing , Y. B. , Baudet , C. and Malecot , Y. 2004 . Reynolds dependence of third order velocity structure functions . Physics of Fluids , 16 : 482 – 485 . [CSA] [CROSSREF]
  • Arneodo , A. , Baudet , C. , Belin , F. Benzi , R. 1996 . Structure functions in turbulence, in various configurations, at Reynolds number between 30 to 5000 . Europhysics Letters , 34 : 411 – 416 . [CSA] [CROSSREF]
  • Anselmet , F. , Gagne , Y. , Hopfinger , E. J. and Antonia , R. A. 1984 . High-order velocity structure functions in turbulent shear flows . Journal of Fluid Mechanics , 140 : 63 – 89 . [CSA]

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