Fully Developed Turbulence and the Multifractal Conjecture

被引:24
|
作者
Benzi, Roberto
Biferale, Luca [1 ]
机构
[1] Univ Roma Tor Vergata, Dept Phys, Rome, Italy
关键词
Eulerian and Lagrangian Turbulence; Multifractals; REYNOLDS-NUMBER; LAGRANGIAN STATISTICS; MODEL;
D O I
10.1007/s10955-009-9738-9
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We review the Parisi-Frisch (Proc. Int. School of Physics "E. Fermi", pp. 84-87, North-Holland, Amsterdam, 1985) MultiFractal formalism for Navier-Stokes turbulence with particular emphasis on the issue of statistical fluctuations of the dissipative scale. We do it for both Eulerian and Lagrangian Turbulence. We also show new results concerning the application of the formalism to the case of Shell Models for turbulence. The latter case will allow us to discuss the issue of Reynolds number dependence and the role played by vorticity and vortex filaments in real turbulent flows.
引用
收藏
页码:977 / 990
页数:14
相关论文
共 50 条
  • [21] INSTABILITY IN FULLY DEVELOPED TURBULENCE
    KRAICHNA.RH
    [J]. PHYSICS OF FLUIDS, 1970, 13 (03) : 569 - &
  • [22] Singularities in fully developed turbulence
    Shivamoggi, Bhimsen K.
    [J]. PHYSICS LETTERS A, 2015, 379 (34-35) : 1887 - 1892
  • [23] FROM GLOBAL SCALING, A-LA KOLMOGOROV, TO LOCAL MULTIFRACTAL SCALING IN FULLY-DEVELOPED TURBULENCE
    FRISCH, U
    [J]. PROCEEDINGS OF THE ROYAL SOCIETY-MATHEMATICAL AND PHYSICAL SCIENCES, 1991, 434 (1890): : 89 - 99
  • [24] Scaling laws in fully developed turbulence
    Ciliberto, S
    Benzi, R
    Biferale, L
    Struglia, MV
    Tripiccione, L
    [J]. ADVANCES IN TURBULENCES VI, 1996, 36 : 191 - 196
  • [25] Generalized scaling in fully developed turbulence
    Benzi, R
    Biferale, L
    Ciliberto, S
    Struglia, MV
    Tripiccione, R
    [J]. PHYSICA D, 1996, 96 (1-4): : 162 - 181
  • [26] INTERMITTENCY OF FULLY-DEVELOPED TURBULENCE
    FUJISAKA, H
    MORI, H
    [J]. PHYSICS LETTERS A, 1979, 72 (06) : 444 - 445
  • [27] Synchronization of Chaos in Fully Developed Turbulence
    Lalescu, Cristian C.
    Meneveau, Charles
    Eyink, Gregory L.
    [J]. PHYSICAL REVIEW LETTERS, 2013, 110 (08)
  • [28] UNIVERSALITY IN FULLY-DEVELOPED TURBULENCE
    GROSSMANN, S
    LOHSE, D
    [J]. PHYSICAL REVIEW E, 1994, 50 (04): : 2784 - 2789
  • [29] CROSSOVER DIMENSIONS FOR FULLY DEVELOPED TURBULENCE
    FRISCH, U
    LESIEUR, M
    SULEM, PL
    [J]. PHYSICAL REVIEW LETTERS, 1976, 37 (14) : 895 - 897
  • [30] Geometry of intermittency in fully developed turbulence
    Queiros-Condé, D
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II FASCICULE B-MECANIQUE PHYSIQUE ASTRONOMIE, 1999, 327 (14): : 1385 - 1390