A finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh

Y. Nishimura, Z. Lin, J. L.V. Lewandowski, S. Ethier

研究成果: Article同行評審

28 引文 斯高帕斯(Scopus)

摘要

A new finite element Poisson solver is developed and applied to a global gyrokinetic toroidal code (GTC) which employs the field aligned mesh and thus a logically non-rectangular grid in a general geometry. Employing test cases where the analytical solutions are known, the finite element solver has been verified. The CPU time scaling versus the matrix size employing portable, extensible toolkit for scientific computation (PETSc) to solve the sparse matrix is promising. Taking the ion temperature gradient modes (ITG) as an example, the solution from the new finite element solver has been compared to the solution from the original GTC's iterative solver which is only efficient for adiabatic electrons. Linear and nonlinear simulation results from the two different forms of the gyrokinetic Poisson equation (integral form and the differential form) coincide each other. The new finite element solver enables the implementation of advanced kinetic electron models for global electromagnetic simulations.

原文English
頁(從 - 到)657-671
頁數15
期刊Journal of Computational Physics
214
發行號2
DOIs
出版狀態Published - 2006 五月 20

All Science Journal Classification (ASJC) codes

  • 數值分析
  • 建模與模擬
  • 物理與天文學(雜項)
  • 物理與天文學 (全部)
  • 電腦科學應用
  • 計算數學
  • 應用數學

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