A stochastic approach to the solution of magnetohydrodynamic equations
arXiv:1112.2166 · doi:10.1016/j.jcp.2013.02.039
Abstract
The construction of stochastic solutions is a powerful method to obtain localized solutions in configuration or Fourier space and for parallel computation with domain decomposition. Here a stochastic solution is obtained for the magnetohydrodynamics equations. Some details are given concerning the numerical implementation of the solution which is illustrated by an example of generation of long-range magnetic fields by a velocity source.
21 pages Latex, 5 figures