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SIAMSC
2016

Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics

3 years 15 days ago
Monolithic Multigrid Methods for Two-Dimensional Resistive Magnetohydrodynamics
Magnetohydrodynamic (MHD) representations are used to model a wide range of plasma physics applications and are characterized by a nonlinear system of partial differential equations that strongly couples a charged fluid with the evolution of electromagnetic fields. The resulting linear systems that arise from discretization and linearization of the nonlinear problem are generally difficult to solve. In this paper, we investigate multigrid preconditioners for this system. We consider two well-known multigrid relaxation methods for incompressible fluid dynamics: Braess–Sarazin relaxation and Vanka relaxation. We first extend these to the context of steady-state one-fluid viscoresistive MHD. Then we compare the two relaxation procedures within a multigrid-preconditioned GMRES method employed within Newton’s method. To isolate the effects of the different relaxation methods, we use structured grids, inf-sup stable finite elements, and geometric interpolation. We present conver...
James H. Adler, Thomas R. Benson, Eric C. Cyr, Sco
Added 09 Apr 2016
Updated 09 Apr 2016
Type Journal
Year 2016
Where SIAMSC
Authors James H. Adler, Thomas R. Benson, Eric C. Cyr, Scott P. MacLachlan, Raymond S. Tuminaro
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