skip to main content

DOE PAGESDOE PAGES

Title: Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics

Multigrid methods can solve some classes of elliptic and parabolic equations to accuracy below the truncation error with a work-cost equivalent to a few residual calculations – so-called ‘‘textbook” multigrid efficiency. We investigate methods to solve the system of equations that arise in time dependent magnetohydrodynamics (MHD) simulations with textbook multigrid efficiency. We apply multigrid techniques such as geometric interpolation, full approximate storage, Gauss–Seidel smoothers, and defect correction for fully implicit, nonlinear, second-order finite volume discretizations of MHD. We apply these methods to a standard resistive MHD benchmark problem, the GEM reconnection problem, and add a strong magnetic guide field, which is a critical characteristic of magnetically confined fusion plasmas. We show that our multigrid methods can achieve near textbook efficiency on fully implicit resistive MHD simulations.
Authors:
 [1] ;  [2] ;  [3]
  1. Columbia Univ., New York, NY (United States). Dept. of Applied Physics and Applied Mathematics
  2. Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
  3. Weizmann Inst. of Science, Rehovot (Israel). Dept. of Computer Science and Applied Mathematics
Publication Date:
OSTI Identifier:
1213043
Grant/Contract Number:
FC02-06ER54863
Type:
Accepted Manuscript
Journal Name:
Journal of Computational Physics
Additional Journal Information:
Journal Volume: 229; Journal Issue: 18; Journal ID: ISSN 0021-9991
Publisher:
Elsevier
Research Org:
Columbia Univ., New York, NY (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY