Statistics – Computation
Scientific paper
Dec 2004
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004agufmsm51b0373j&link_type=abstract
American Geophysical Union, Fall Meeting 2004, abstract #SM51B-0373
Statistics
Computation
7835 Magnetic Reconnection, 7843 Numerical Simulation Studies, 7859 Transport Processes
Scientific paper
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 time-integrated 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. We are exploring the feasibility of applying this scheme to simulate plasma, and we will present the results of exploratory test problems including the development of 1-D shocks and magnetic reconnection. 1 I. G. Kevrekidis et. al., ``Equation-free multiscale computation: Enabling microscopic simulators to perform system-level tasks,'' arXiv:physics/0209043.
Dorland William
Drake James F.
Jemella B.
Shay Michael A.
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