HR: 0800h
AN: SM51B-0373    [Abstracts]
TI: Equation Free Projective Integration and its Applicability for Simulating Plasma
AU: * Jemella, B
EM: bdjem@umd.edu
AF: University of Maryland, IREAP Energy Research Bldg University of Maryland, College Park, MD 20742 United States
AU: Shay, M A
EM: shay@umd.edu
AF: University of Maryland, IREAP Energy Research Bldg University of Maryland, College Park, MD 20742 United States
AU: Drake, J F
EM: drake@umd.edu
AF: University of Maryland, IREAP Energy Research Bldg University of Maryland, College Park, MD 20742 United States
AU: Dorland, W
EM: bdorland@Glue.umd.edu
AF: University of Maryland, IREAP Energy Research Bldg University of Maryland, College Park, MD 20742 United States
AB: We examine a novel simulation scheme called equation free projective integration$^1$ 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,'' {\it arXiv}:physics/0209043.
DE: 7835 Magnetic reconnection
DE: 7843 Numerical simulation studies
DE: 7859 Transport processes
SC: SPA-Magnetospheric Physics [SM]
MN: 2004 AGU Fall Meeting