Probing Physics of Magnetohydrodynamic Turbulence Using Direct Numerical Simulation
Abstract
The energy spectrum and the nolinear cascade rates of MHD turbulence is not clearly understood. We have addressed this problem using direct numerical simulation and analytical calculations. Our numerical simulations indicate that Kolmogorovlike phenomenology with $k^{5/3}$ energy spectrum, rather than Kraichnan's $k^{3/2}$, appears to be applicable in MHD turbulence. Here, we also construct a selfconsistent renomalization group procedure in which the mean magnetic field gets renormalized, which in turns yields $k^{5/3}$ energy spectrum. The numerical simulations also show that the fluid energy is transferred to magnetic energy. This result could shed light on the generation magnetic field as in dynamo mechanism.
 Publication:

arXiv eprints
 Pub Date:
 March 1998
 DOI:
 10.48550/arXiv.chaodyn/9803022
 arXiv:
 arXiv:chaodyn/9803022
 Bibcode:
 1998chao.dyn..3022V
 Keywords:

 Chaotic Dynamics;
 Astrophysics;
 Condensed Matter;
 Nonlinear Sciences  Chaotic Dynamics
 EPrint:
 10 pages Latex, 1 postscript figure, To appear in the proceedings of "Nonlinear Dynamics and Computational Physics"