Island Coalescence Using Parallel First-Order System Least Squares on Incompressible Resistive Magnetohydrodynamics

Autor:	Marian Brezina, Thomas A. Manteuffel, Lei Tang, John W. Ruge, James H. Adler, Stephen F. McCormick
Rok vydání:	2013
Předmět:	Coalescence (physics) Computational Mathematics Nonlinear system Resistive touchscreen Multigrid method Classical mechanics Applied Mathematics Computation Compressibility Applied mathematics Magnetic reconnection Magnetohydrodynamics Mathematics
Zdroj:	SIAM Journal on Scientific Computing. 35:S171-S191
ISSN:	1095-7197 1064-8275
DOI:	10.1137/120880227
Popis:	This paper investigates the performance of a parallel Newton, first-order system least-squares (FOSLS) finite-element method with local adaptive refinement and algebraic multigrid (AMG) applied to incompressible, resistive magnetohydrodynamics. In particular, an island coalescence test problem is studied that models magnetic reconnection using a reduced two-dimensional (2D) model of a tokamak fusion reactor. The results show that, using an appropriate temporal and spatial resolution, these methods are capable of resolving the physical instabilities accurately at small computational cost. The time-dependent, nonlinear system of PDEs is solved using work equivalent to about 50--60 simple relaxation sweeps (Gauss--Seidel iterations) per time step. Experiments show that, unless the time step is sufficiently small, nonphysical numerical instabilities may occur. Further, decreasing the time step size does not proportionally increase the cost of the computation, because AMG convergence is improved. In addition, ...
Databáze:	OpenAIRE
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