Equation free projective integration: A novel scheme for modeling multiscale processes in plasmas
Abstract
We examine a novel simulation scheme called equation free projective integration1 which has the potential to allow global simulations of plasmas while still including the global effects of microscale physics. These simulation codes would be ideal for such multiscale problems as the Earth's magnetosphere, tokamaks, and the solar corona. In this method, the global plasma variables stepped forward in time are not timeintegrated directly using dynamical differential equations, hence the name "equation free." Instead, these variables are represented on a microgrid using a kinetic simulation. This microsimulation is integrated forward long enough to determine the time derivatives of the global plasma variables, which are then used to integrate forward the global variables with much larger time steps. Results will be presented of the successful application of equation free to 1D ion acoustic wave steepening. In addition, initial results of this technique applied to reconnection will also be discussed. 1 I. G. Kevrekidis et. al., "Equationfree multiscale computation: Enabling microscopic simulators to perform systemlevel tasks," arXiv:physics/0209043.
 Publication:

AGU Spring Meeting Abstracts
 Pub Date:
 May 2005
 Bibcode:
 2005AGUSMSM51A..10S
 Keywords:

 2753 Numerical modeling;
 7835 Magnetic reconnection;
 7871 Waves and instabilities;
 7894 Instruments and techniques