SCALING PROPERTIES IN MHD TURBULENCE

被引：14

作者：

BISKAMP, D

机构：

[1] Max-Planck-Institut of Plasma Physics

来源：

CHAOS SOLITONS & FRACTALS | 1995年 / 5卷 / 10期

关键词：

D O I：

10.1016/0960-0779(94)00186-T

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The article first gives a brief review of the main properties of MHD turbulence, which are governed by the selective decay of the ideal invariants and the Alfven effect. The inertial range behaviour is reflected in the geometric properties of level surfaces. These are predicted to have fractal dimension D = 11/4 (= 7/4 in 2-D), which is verified in numerical simulations. The second part deals with the statistical properties. Probability density functions of the velocity and magnetic field increments and the energy dissipation rate are discussed. The simulations are complemented by the analysis of a simple shell model for MHD turbulence, taking into account the Alfven effect. It is found that the latter is more subtle than anticipated.

引用

收藏

页码：1779 / 1793

页数：15

相关论文

共 24 条

[1] 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

[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] GEOMETRIC-PROPERTIES OF LEVEL SURFACES IN MHD TURBULENCE [J].

BISKAMP, D .

EUROPHYSICS LETTERS, 1993, 21 (05) :563-567

[4] DYNAMICS OF DECAYING TWO-DIMENSIONAL MAGNETOHYDRODYNAMIC TURBULENCE [J].

BISKAMP, D ;

WELTER, H .

PHYSICS OF FLUIDS B-PLASMA PHYSICS, 1989, 1 (10) :1964-1979

[5] DYNAMICS AND STATISTICS OF INVERSE CASCADE PROCESSES IN 2D MAGNETOHYDRODYNAMIC TURBULENCE [J].

BISKAMP, D ;

BREMER, U .

PHYSICAL REVIEW LETTERS, 1994, 72 (24) :3819-3822

[6] ENERGY-SPECTRA IN A MODEL FOR CONVECTIVE TURBULENCE [J].

BRANDENBURG, A .

PHYSICAL REVIEW LETTERS, 1992, 69 (04) :605-608

[7] 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

[8] DIMENSION OF THE CARRIER OF TURBULENCE - INTERMITTENCY IN FLUID-MECHANICS [J].

CONSTANTIN, P ;

PROCACCIA, I .

PHYSICAL REVIEW A, 1992, 46 (08) :4736-4741

[9]

DOBLOWOLNY M, 1980, PHYS REV LETT, V45, P144

[10] DOES DETERMINISTIC CHAOS IMPLY INTERMITTENCY IN FULLY-DEVELOPED TURBULENCE [J].

EGGERS, J ;

GROSSMANN, S .

PHYSICS OF FLUIDS A-FLUID DYNAMICS, 1991, 3 (08) :1958-1968