Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence
chao-dyn
2009-10-31 v1 Chaotic Dynamics
Abstract
In this paper we study the effect of subtle changes in initial conditions on the evolution of global quantities in two-dimensional Magnetohydrodynamic (MHD) turbulence. We find that a change in the initial phases of complex Fourier modes of the Els\"{a}sser variables, while keeping the initial values of total energy, cross helicity and Alfv\'{e}n ratio unchanged, has a significant effect on the evolution of cross helicity. On the contrary, the total energy and Alfv\'{e}n ratio are insensitive to the initial phases. Our simulations are based on direct numerical simulation using the pseudo-spectral method.
Cite
@article{arxiv.chao-dyn/9803023,
title = {Initial Condition Sensitivity of Global Quantities in Magnetohydrodynamic Turbulence},
author = {Gaurav Dar and Mahendra K. Verma and V. Eswaran},
journal= {arXiv preprint arXiv:chao-dyn/9803023},
year = {2009}
}
Comments
12 pages LateX, 11 ps figures. Accepted for publication by Physics of Plasmas