The full torus electromagnetic gyrokinetic particle simulations using the hybrid model with kinetic electrons in the presence of magnetic shear is presented.The fluid-kinetic electron hybrid model employed in this pap...The full torus electromagnetic gyrokinetic particle simulations using the hybrid model with kinetic electrons in the presence of magnetic shear is presented.The fluid-kinetic electron hybrid model employed in this paper improves numerical properties by removing the tearing mode,meanwhile,preserves both linear and nonlinear wave-particle resonances of electrons with Alfven wave and ion acoustic wave.展开更多
Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented.Discretized equations of the elliptic operator−■^(2)u+αu=f(with bothα=0 and α≠0)are ubiquitous in magnetically confined fus...Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented.Discretized equations of the elliptic operator−■^(2)u+αu=f(with bothα=0 and α≠0)are ubiquitous in magnetically confined fusion plasma applications.Whenαis equal to zero a“pure”Laplacian or Poisson equation results and whenαis 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.展开更多
基金This work is supported by Department of Energy(DOE)Cooperative Agreement No.DE-FC02-04ER54796Grant No.DE-FC02-06ER54860in part by SciDAC GPS,GSEP,and CPES centers。
文摘The full torus electromagnetic gyrokinetic particle simulations using the hybrid model with kinetic electrons in the presence of magnetic shear is presented.The fluid-kinetic electron hybrid model employed in this paper improves numerical properties by removing the tearing mode,meanwhile,preserves both linear and nonlinear wave-particle resonances of electrons with Alfven wave and ion acoustic wave.
文摘Parallel algebraic multigrid methods in gyrokinetic turbulence simulations are presented.Discretized equations of the elliptic operator−■^(2)u+αu=f(with bothα=0 and α≠0)are ubiquitous in magnetically confined fusion plasma applications.Whenαis equal to zero a“pure”Laplacian or Poisson equation results and whenαis 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.