Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

Year:    2007

Communications in Computational Physics, Vol. 2 (2007), Iss. 5 : pp. 881–899

Abstract

Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented. Discretized equations of the elliptic operator −∇2u+αu= f (with both α=0 and α≠0) are ubiquitous in magnetically confined fusion plasma applications. When α is equal to zero a "pure" Laplacian or Poisson equation results and when α is greater than zero a so called Helmholtz equation is produced. Taking a gyrokinetic turbulence simulation model as a testbed, we investigate the performance characteristics of basic classes of linear solvers (direct, one-level iterative, and multilevel iterative methods) on 2D unstructured finite element method (FEM) problems for both the Poisson and the Helmholtz equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2007-CiCP-7931

Communications in Computational Physics, Vol. 2 (2007), Iss. 5 : pp. 881–899

Published online:    2007-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords: