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Volume 2, Issue 5
Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations

M. F. Adams & Y. Nishimura

Commun. Comput. Phys., 2 (2007), pp. 881-899.

Published online: 2007-02

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  • 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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@Article{CiCP-2-881, author = {M. F. Adams and Y. Nishimura}, title = {Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations}, journal = {Communications in Computational Physics}, year = {2007}, volume = {2}, number = {5}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cicp/7931.html} }
TY - JOUR T1 - Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations AU - M. F. Adams & Y. Nishimura JO - Communications in Computational Physics VL - 5 SP - 881 EP - 899 PY - 2007 DA - 2007/02 SN - 2 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cicp/7931.html KW - AB -

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.

M. F. Adams and Y. Nishimura. (2007). Parallel Algebraic Multigrid Methods in Gyrokinetic Turbulence Simulations. Communications in Computational Physics. 2 (5). 881-899. doi:
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