On the lack of universality in decaying magnetohydrodynamic turbulence

Details On the lack of universality in decaying magnetohydrodynamic turbulence On the lack of universality in decaying magnetohydrodynamic turbulence

Dec 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009agufmsm41c..05p&link_type=abstract

American Geophysical Union, Fall Meeting 2009, abstract #SM41C-05

Statistics

Computation

[0545] Computational Geophysics / Modeling, [4468] Nonlinear Geophysics / Probability Distributions, Heavy And Fat-Tailed, [4490] Nonlinear Geophysics / Turbulence, [7863] Space Plasma Physics / Turbulence

Scientific paper

Using computations of three-dimensional magnetohydrodynamic (MHD) turbulence with a Taylor-Green flow, whose inherent time-independent symmetries are implemented numerically, and in the absence of either a forcing function or an imposed uniform magnetic field, we show that three different inertial ranges for the energy spectrum may emerge for three different initial magnetic fields, the selecting parameter being the ratio of the Alfven to the eddy turnover time. Equivalent computational grids range from 128^3 to 2048^3 points with a unit magnetic Prandtl number and a Taylor Reynolds number of up to 1500 at the peak of dissipation. We also show convergence of our results with Reynolds number. Our study is consistent with previous findings of a variety of energy spectra in MHD turbulence by studies performed in the presence of both a forcing term with a given correlation time and a strong, uniform magnetic field. In contrast to the previous studies, here the ratio of characteristic time scales can, however, only be ascribed to the intrinsic nonlinear dynamics of the flows under study.

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