Statistical geometry in homogeneous and isotropic turbulence

References

• Frisch , U. 1995 . Turbulence: The Legacy of AN Kolmogorov , Cambridge : Cambridge University Press .
   Google Scholar
• Siggia , E. D. 1981 . Numerical study of small scale intermittency in three-dimensional turbulence. . Journal of Fluid Mechanics , 107 : 375
   Web of Science ®Google Scholar
• Douady , S. , Couder , Y. and Brachet , M. E. 1991 . Direct observation of the intermittency of intense vorticity filaments in turbulence. . Physical Review Letters , 67 : 983
   PubMed Web of Science ®Google Scholar
• Jimenez , J. , Wray , A. , Saffman , P. and Rogallo , R. 1993 . The structure of intense vorticity in isotropic turbulence. . Journal of Fluid Mechanics , 255 : 658
   Web of Science ®Google Scholar
• Chen , S. , Ecke , R. E. , Eyink , G. L. , Wang , X. and Xiao , Z. 2003 . Physical mechanism of the two-dimensional enstrophy cascade. . Physical Review Letters , 91 : 214501
   PubMed Web of Science ®Google Scholar
• Van der , Bos F. , Tao , B. , Meneveau , C. and Katz , J. 2002 . Effects of small-scale turbulent motions on the filtered velocity gradient tensor as deduced from holographic particle image velocimetry measurements. . Physics of Fluids , 14 : 2456
   Web of Science ®Google Scholar
• Chertkov , M. , Pumir , A. and Shraiman , B. I. 1999 . Lagrangian tetrad dynamics and the phenomenology of turbulence. . Physics of Fluids , 11 : 2394
   Web of Science ®Google Scholar
• Naso , A. and Pumir , A. 2005 . Scale dependence of the coarse-grained velocity derivative tensor structure in turbulence. . Physical Review E , 72 : 056318
   Web of Science ®Google Scholar
• Cantwell , B. J. 1992 . Exact solution of a restricted Euler equation for the velocity gradient tensor. . Physics of Fluids A , 4 : 782
   Web of Science ®Google Scholar
• Chevillard , L. and Meneveau , C. 2006 . Lagrangian dynamics and statistical geometric structure of turbulence. . Physical Review Letters , 97 : 174501
   PubMed Web of Science ®Google Scholar
• Gibbon , J. D. and Holm , D. D. 2007 . Lagrangian particle paths and ortho-normal quaternion frames. . Nonlinearity , 20 : 1745
   Web of Science ®Google Scholar
• Borue , V. and Orszag , S. A. 1998 . Local energy flux and subgrid scale statistics in three-dimensional turbulence. . Journal of Fluid Mechanics , 366 : 1
   Web of Science ®Google Scholar
• Pumir , A. , Shraiman , B. I. and Chertkov , M. 2000 . Geometry of Lagrangian dispersion in turbulence. . Physical Review Letters , 85 : 5324
   PubMed Web of Science ®Google Scholar
• Jeong , E. and Girimaji , S. 2003 . Velocity-gradient dynamics in turbulence: effect of viscosity and forcing. . Theoretical and Computational Fluid Dynamics , 16 : 4218
   Web of Science ®Google Scholar
• Press , W. H. , Teukolsky , S. A. , Vetterling , W. T. and Flannery , B. P. 1992 . Numerical Recipes in C , Cambridge : Cambridge University Press .
   Google Scholar
• Pumir , A. 1994y . A numerical study of pressure-fluctuations in 3-dimensional, incompressible, homogeneous, isotropic turbulence. . Physics of Fluids , 6 : 2071
   Web of Science ®Google Scholar
• Naso , A. , Chertkov , M. and Pumir , A. 2007 . in preparation .
   Google Scholar
• Naso , A. , Chertkov , M. and Pumir , A. 2006 . Scale dependence of the coarse-grained velocity derivative tensor: influence of large-scale shear on small-scale turbulence. . Journal of Turbulence , 7 : N41
   Web of Science ®Google Scholar
• Chertkov , M. 2003 . Phenomenology of Rayleigh–Taylor turbulence. . Physical Review Letters , 91 : 115001
   PubMed Web of Science ®Google Scholar