A finite element Poisson solver for gyrokinetic particle simulations in a global field aligned mesh
作者： Y. Nishimura , Z. Lin , J.L.V. Lewandowski , S. Ethier
DOI: 10.1016/J.JCP.2005.10.011
关键词: Mixed finite element method 、 Nonlinear system 、 Applied mathematics 、 Iterative method 、 Integral equation 、 Mathematics 、 Solver 、 Poisson's equation 、 Sparse matrix 、 Classical mechanics 、 Finite element method
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 thus logically non-rectangular grid in general geometry. Employing test cases where analytical solutions are known, has been verified. The CPU time scaling versus matrix size employing portable, extensible toolkit for scientific computation (PETSc) solve sparse promising. Taking ion temperature gradient modes (ITG) as an example, solution from compared original GTC's iterative only efficient adiabatic electrons. Linear nonlinear simulation results two different forms of equation (integral form differential form) coincide each other. enables implementation advanced kinetic electron models electromagnetic simulations.
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sci-hub.se 参考文章(28)
Saul L A. Teukolsky, Brian N P. Flannery, William M T. Vetterling, William H. Press, Numerical Recipes: FORTRAN Cambridge University Press. ,(1990)
Kenneth H. Huebner, Donald L. Dewhirst, Douglas E. Smith, Ted G. Byrom, The finite element method for engineers ,(1975)
Zhihong Lin, Liu Chen, A fluid–kinetic hybrid electron model for electromagnetic simulations Physics of Plasmas. ,vol. 8, pp. 1447- 1450 ,(2001) , 10.1063/1.1356438
John C. Strikwerda, Finite Difference Schemes and Partial Differential Equations ,(1989)
T. S. Hahm, Liu Chen, Theory of semicollisional kinetic Alfvén modes in sheared magnetic fields Physics of Fluids. ,vol. 28, pp. 3061- 3065 ,(1985) , 10.1063/1.865347
Igor Manuilskiy, W. W. Lee, The Split-weight Particle Simulation Scheme for Plasmas Physics of Plasmas. ,vol. 7, pp. 1381- 1385 ,(2000) , 10.1063/1.873955
Zhihong Lin, Taik Soo Hahm, WW Lee, William M Tang, Roscoe B White, Turbulent Transport Reduction by Zonal Flows: Massively Parallel Simulations Science. ,vol. 281, pp. 1835- 1837 ,(1998) , 10.1126/SCIENCE.281.5384.1835
B. Scott, Global consistency for thin flux tube treatments of toroidal geometry Physics of Plasmas. ,vol. 5, pp. 2334- 2339 ,(1998) , 10.1063/1.872907
W.W Lee, Gyrokinetic particle simulation model Journal of Computational Physics. ,vol. 72, pp. 243- 269 ,(1987) , 10.1016/0021-9991(87)90080-5
Z. Lin, T. S. Hahm, W. W. Lee, W. M. Tang, R. B. White, Gyrokinetic simulations in general geometry and applications to collisional damping of zonal flows Physics of Plasmas. ,vol. 7, pp. 1857- 1862 ,(2000) , 10.1063/1.874008