Fractality feature in incompressible three-dimensional magnetohydrodynamic turbulence

• Authors: Mahdi Momeni , Mahmoud Moslehi-Fard
• Languages of publication: EN

Abstracts

EN

Direct Numerical Simulation (DNS) of decaying isotropic 3D magnetohydrodynamic (MHD) turbulence based on the 10243-modes in a periodic box is 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. We observe that the PDFs of the Elsässer fields fluctuations display a strong non-Gaussian behavior at small scale, which can be ascribed to multifractality feature, while the PDFs of the total energy fluctuations have the same shape over all observed scales and are monofractal. The PDFs have stretched exponential tail 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 length scale varies. To check the notion of self-similarity in the respective fluctuation, we apply the compensated structure functions.

Keywords

EN

magnetohydrodynamic turbulence; fractal; self-similar

Discipline

• 47.65.-d: Magnetohydrodynamics and electrohydrodynamics(see also 47.35.Tv Magnetohydrodynamic waves; 52.30.Cv Magnetohydrodynamics, and 52.65.Kj Magnetohydrodynamics and fluid equation in Physics of plasmas and electric discharges; 83.80.Gv Electro- and magnetorheological fluids in Rheology)
• 47.27.E-: Turbulence simulation and modeling
• 47.27.ek: Direct numerical simulations
• 47.53.+n: Fractals in fluid dynamics(see also 05.45.Df Fractals in Statistical physics, thermodynamics, and nonlinear dynamical systems)

• Publisher: De Gruyter Open
• Journal: Open Physics
• Year: 2008
• Volume: 6
• Issue: 3
• Pages: 759-764

Dates

published

1 - 9 - 2008

online

17 - 7 - 2008

Contributors

author

Mahdi Momeni

• Faculty of Physics, Shahrood University of Technology, Shahrood, Iran

author

Mahmoud Moslehi-Fard

• Faculty of Physics, Tabriz University, Tabriz, 51664, Iran

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Identifiers

DOI

10.2478/s11534-008-0086-1