SPECTRUM OF FRACTAL DIMENSION D(H) FOR VELOCITY INCREMENT IN ISOTROPIC TURBULENCE

被引：5

作者：

HOSOKAWA, I

机构：

[1] University of Electro-Communications, Tokyo 182, Chofu

来源：

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN | 1993年 / 62卷 / 11期

关键词：

D O I：

10.1143/JPSJ.62.3792

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The multifractal nature of isotropic turbulence is revealed from the viewpoint of the d(h) spectrum for longitudinal velocity increment presumed by Frisch and Parisi, using the 3D binomial Cantor set model. The correctly applied Kolmogorov refined similarity hypothesis is found to play a vital role in construction of the rational d(h) spectrum in the entire range of h from the knowledge of the f(alpha) spectrum for three-dimensional dissipation field of turbulence. It is also shown that velocity increment is not scale-similar in a strict sense, in contrast to dissipation field averaged over the domain across which velocity increment is considered.

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页码：3792 / 3796

页数：5

相关论文

共 28 条

[1]

BACRY E, 1991, FLUID MEC A, V2, P203

[2] MULTIFRACTALITY IN THE STATISTICS OF THE VELOCITY-GRADIENTS IN TURBULENCE [J].

BENZI, R ;

BIFERALE, L ;

PALADIN, G ;

VULPIANI, A ;

VERGASSOLA, M .

PHYSICAL REVIEW LETTERS, 1991, 67 (17) :2299-2302

[3] PROBABILITY-DISTRIBUTION FUNCTIONS IN TURBULENT FLOWS AND SHELL MODELS [J].

BIFERALE, L .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (02) :428-435

[4] ON STATISTICAL CORRELATIONS BETWEEN VELOCITY INCREMENTS AND LOCALLY AVERAGED DISSIPATION IN HOMOGENEOUS TURBULENCE [J].

CHEN, SY ;

DOOLEN, GD ;

KRAICHNAN, RH ;

SHE, ZS .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1993, 5 (02) :458-463

[5] SCALE-INVARIANT MULTIPLIER DISTRIBUTIONS IN TURBULENCE [J].

CHHABRA, AB ;

SREENIVASAN, KR .

PHYSICAL REVIEW LETTERS, 1992, 68 (18) :2762-2765

[6]

Frisch U., 1985, TURBULENCE PREDICTAB, P84

[7] FRACTAL MEASURES AND THEIR SINGULARITIES - THE CHARACTERIZATION OF STRANGE SETS [J].

HALSEY, TC ;

JENSEN, MH ;

KADANOFF, LP ;

PROCACCIA, I ;

SHRAIMAN, BI .

PHYSICAL REVIEW A, 1986, 33 (02) :1141-1151

[8] INTERMITTENCY EXPONENTS AND GENERALIZED DIMENSIONS OF A DIRECTLY SIMULATED FULLY-DEVELOPED TURBULENCE [J].

HOSOKAWA, I ;

YAMAMOTO, K .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1990, 2 (06) :889-892

[9] STATISTICS OF VELOCITY INCREMENT IN TURBULENCE PREDICTED FROM THE KOLMOGOROV REFINED SIMILARITY HYPOTHESIS [J].

HOSOKAWA, I .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1993, 62 (01) :10-13

[10] TURBULENCE MODELS AND PROBABILITY-DISTRIBUTIONS OF DISSIPATION AND RELEVANT QUANTITIES IN ISOTROPIC TURBULENCE [J].

HOSOKAWA, I .

PHYSICAL REVIEW LETTERS, 1991, 66 (08) :1054-1057