Short Note: An efficient solver for the equations of resistive MHD with spatially-varying resistivity

  • Authors:

  • D. T. Graves;D. Trebotich;G. H. Miller;P. Colella

  • Affiliations:

  • Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA;Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, P.O. Box 808, L-560, Livermore, CA 94551, USA;Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA and Department of Applied Science, University of California, One Shields Avenue ...;Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, 1 Cyclotron Road, Berkeley, CA 94720, USA

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2008

Quantified Score

Hi-index 31.45

Visualization

Abstract

We regularize the variable coefficient Helmholtz equations arising from implicit time discretizations for resistive MHD, in a way that leads to a symmetric positive-definite system uniformly in the time step. Standard centered-difference discretizations in space of the resulting PDE leads to a method that is second-order accurate, and that can be used with multigrid iteration to obtain efficient solvers.