A Two-Level Discretization Method for the MHD Equations

W. J. Layton, A. J. Meir, and P. G. Schmidt

A. J. Meir

Department of Mathematics
218 Parker Hall
Auburn University
Auburn, AL 36849


Abstract

In this paper we describe and analyze a two-level method for discretizing the equations of stationary, viscous, incompressible magnetohydrodynamics. The MHD equations model the flow of a viscous, incompressible, electrically conducting fluid, interacting with magnetic and electric fields. These arise in plasma physics, nuclear reactor technology, and geophysics.

The suggested algorithm involves solving a small nonlinear problem on a coarse mesh and then one large linear system on a fine mesh.