THE FRACTAL DIMENSION OF ISO-VORTICITY STRUCTURES IN 3-DIMENSIONAL TURBULENCE

被引:14
作者
PROCACCIA, I
BRANDENBURG, A
JENSEN, MH
VINCENT, A
机构
[1] CERFACS,F-31057 TOULOUSE,FRANCE
[2] NORDITA,DK-2100 COPENHAGEN,DENMARK
来源
EUROPHYSICS LETTERS | 1992年 / 19卷 / 03期
关键词
ISOTROPIC TURBULENCE;
D O I
10.1209/0295-5075/19/3/006
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The fractal dimension of iso-vorticity surfaces is estimated from a 3-dimensional simulation of homogeneous turbulence at moderate Reynolds numbers, performed by Vincent and Meneguzzi. The results are found to be compatible with a recently proposed theory which predicts a crossover from a 2-dimensional geometry at small scales to a fractal geometry at larger scales, with a dimension D = 2.5 + zeta/2, with zeta being the exponent characterizing the scaling of velocity differences.
引用
收藏
页码:183 / 187
页数:5
相关论文
共 12 条
[1]  
[Anonymous], 1941, P USSR ACAD SCI, DOI DOI 10.1098/RSPA.1991.0075
[2]   ON THE MULTIFRACTAL NATURE OF FULLY-DEVELOPED TURBULENCE AND CHAOTIC SYSTEMS [J].
BENZI, R ;
PALADIN, G ;
PARISI, G ;
VULPIANI, A .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1984, 17 (18) :3521-3531
[3]   NAVIER-STOKES EQUATIONS AND AREA OF INTERFACES [J].
CONSTANTIN, P .
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1990, 129 (02) :241-266
[4]   FRACTAL GEOMETRY OF ISOSCALAR SURFACES IN TURBULENCE - THEORY AND EXPERIMENTS [J].
CONSTANTIN, P ;
PROCACCIA, I ;
SREENIVASAN, KR .
PHYSICAL REVIEW LETTERS, 1991, 67 (13) :1739-1742
[5]  
CONSTANTIN P, IN PRESS PHYS REV A
[6]  
FRISCH U, 1978, J FLUID MECH, V63, P305
[7]   CHARACTERIZATION OF STRANGE ATTRACTORS [J].
GRASSBERGER, P ;
PROCACCIA, I .
PHYSICAL REVIEW LETTERS, 1983, 50 (05) :346-349
[8]  
Mandelbrot B, 1976, TURBULENCE NAVIER ST, P121, DOI [10.1007/ BFb0091452, DOI 10.1007/BFB0091452]
[9]   INTERMITTENT TURBULENCE IN SELF-SIMILAR CASCADES - DIVERGENCE OF HIGH MOMENTS AND DIMENSION OF CARRIER [J].
MANDELBROT, BB .
JOURNAL OF FLUID MECHANICS, 1974, 62 (JAN23) :331-358
[10]  
PROCACCIA I, IN PRESS PHYS REV A