Statistical isotropy in three-dimensional magnetohydrodynamic turbulence

2008 ◽  
Vol T131 ◽  
pp. 014004 ◽  
Author(s):  
Mahdi Momeni ◽  
Nader Mahdizadeh
Keyword(s):  
Three Dimensional ◽  
Magnetohydrodynamic Turbulence ◽  
Statistical Isotropy

scholarly journals The scaling properties of dissipation in incompressible isotropic three-dimensional magnetohydrodynamic turbulence

2005 ◽  
Vol 12 (2) ◽  
pp. 022301 ◽  
Author(s):  
J. A. Merrifield ◽  
W.-C. Müller ◽  
S. C. Chapman ◽  
R. O. Dendy
Keyword(s):  
Three Dimensional ◽  
Magnetohydrodynamic Turbulence ◽  
Scaling Properties

scholarly journals Wavelet-based coherent vorticity sheet and current sheet extraction from three-dimensional homogeneous magnetohydrodynamic turbulence

2009 ◽  
Vol 16 (8) ◽  
pp. 082306 ◽  
Author(s):  
Katsunori Yoshimatsu ◽  
Yuji Kondo ◽  
Kai Schneider ◽  
Naoya Okamoto ◽  
Hiroyuki Hagiwara ◽  
...  
Keyword(s):  
Current Sheet ◽  
Three Dimensional ◽  
Magnetohydrodynamic Turbulence

Small-scale structure of two-dimensional magnetohydrodynamic turbulence

1979 ◽  
Vol 90 (1) ◽  
pp. 129-143 ◽  
Author(s):  
Steven A. Orszag ◽  
Cha-Mei Tang
Keyword(s):  
Numerical Simulation ◽  
Direct Numerical Simulation ◽  
Three Dimensional ◽  
Scale Structure ◽  
Magnetohydrodynamic Flow ◽  
Small Scale ◽  
Two Dimensional ◽  
Magnetohydrodynamic Turbulence ◽  
Hydrodynamic Turbulence ◽  
Small Scale Structure

The formation of singularities in two-dimensional magnetohydrodynamic flow is investigated by direct numerical simulation. It is shown that two-dimensional magnetohydrodynamic turbulence is not as singular as three-dimensional hydrodynamic turbulence (in the sense that it has a less highly excited small-scale structure) but that it is more singular than two-dimensional hydrodynamic turbulence.

Possibility of an inverse cascade of magnetic helicity in magnetohydrodynamic turbulence

1975 ◽  
Vol 68 (4) ◽  
pp. 769-778 ◽  
Author(s):  
U. Frisch ◽  
A. Pouquet ◽  
J. LÉOrat ◽  
A. Mazure
Keyword(s):  
Energy Density ◽  
Large Scale ◽  
Magnetic Energy ◽  
Three Dimensional ◽  
Magnetic Helicity ◽  
Kinetic Energy Density ◽  
Magnetohydrodynamic Turbulence ◽  
Magnetic Energy Density ◽  
Upper Limit ◽  
Cross Correlations

Some of the consequences of the conservation of magnetic helicity$\int \rm{a.b}\it{d}^{\rm{3}}\rm{r\qquad (a\; =\; vector\; potential\; of\; magnetic\; field\; b)}$for incompressible three-dimensional turbulent MHD flows are investigated. Absolute equilibrium spectra for inviscid infinitely conducting flows truncated at lower and upper wavenumberskminandkmaxare obtained. When the total magnetic helicity approaches an upper limit given by the total energy (kinetic plus magnetic) divided bykmin, the spectra of magnetic energy and helicity are strongly peaked nearkmin; in addition, when the cross-correlations between the velocity and magnetic fields are small, the magnetic energy density nearkmingreatly exceeds the kinetic energy density. Several arguments are presented in favour of the existence of inverse cascades of magnetic helicity towards small wavenumbers leading to the generation of large-scale magnetic energy.

scholarly journals Decay Laws for Three-Dimensional Magnetohydrodynamic Turbulence

1999 ◽  
Vol 83 (11) ◽  
pp. 2195-2198 ◽  
Author(s):  
Dieter Biskamp ◽  
Wolf-Christian Müller
Keyword(s):  
Three Dimensional ◽  
Magnetohydrodynamic Turbulence

scholarly journals STATISTICAL ANALYSIS OF CURRENT SHEETS IN THREE-DIMENSIONAL MAGNETOHYDRODYNAMIC TURBULENCE

2013 ◽  
Vol 771 (2) ◽  
pp. 124 ◽  
Author(s):  
Vladimir Zhdankin ◽  
Dmitri A. Uzdensky ◽  
Jean C. Perez ◽  
Stanislav Boldyrev
Keyword(s):  
Statistical Analysis ◽  
Three Dimensional ◽  
Magnetohydrodynamic Turbulence ◽  
Current Sheets

Fractality feature in incompressible three-dimensional magnetohydrodynamic turbulence

2008 ◽  
Vol 86 (10) ◽  
pp. 1203-1207
Author(s):  
M Momeni ◽  
M Moslehi-Fard
Keyword(s):  
Three Dimensional ◽  
Qualitative Change ◽  
Mhd Turbulence ◽  
Self Similarity ◽  
Simulation Data ◽  
Magnetohydrodynamic Turbulence ◽  
Exponential Tails ◽  
Turbulent Field ◽  
Field Fluctuations ◽  
52.35 Ra

High-resolution direct numerical simulation data for three-dimensional magnetohydrodynamic (MHD) turbulence based on the 10243-modes in a periodic box are used to study the statistical properties of turbulence. In this paper, the presence of intermittency in MHD turbulence is investigated through the analysis of the Probability Distribution Function (PDF) for Elsässer fields and total energy fluctuations. The energy PDFs exhibit similarity over all scales of the turbulent system since they show no substantial qualitative change in shape as the scale of the fluctuations varies. This is in sharp and surprising contrast to the well-known behavior of PDFs of turbulent field fluctuations of, for example, velocity, and magnetic and Elsässer fields. The PDFs have exponential tails and satisfy the function P(| δX |) ~ exp(–A | δX | μ). Numerically, we extract the exponent μ and find that it is constant for monofractal behavior as the scale of length varies. The compensated structure functions exhibit self-similarity for the respective fluctuations, and it is a reliable way in turbulence. PACS Nos.: 52.30.–q , 52.30.Cv , 52.35.Ra , 52.65.–y

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