Parallel algebraic multigrid methods in gyrokinetic turbulence simulations

M. F. Adams, Y. Nishimura

Research output: Contribution to journalArticle

2 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)881-899
Number of pages19
JournalCommunications in Computational Physics
Volume2
Issue number5
Publication statusPublished - 2007 Oct

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy (miscellaneous)

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