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윤의성

Yoon, Eisung
Fusion and Plasma Application Research Lab.
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A Fokker-Planck-Landau collision equation solver on two-dimensional velocity grid and its application to particle-in-cell simulation

Author(s)
Yoon, E. S.Chang, C. S.
Issued Date
2014-03
DOI
10.1063/1.4867359
URI
https://scholarworks.unist.ac.kr/handle/201301/23995
Fulltext
https://aip.scitation.org/doi/10.1063/1.4867359
Citation
PHYSICS OF PLASMAS, v.21, no.3, pp.032503
Abstract
An approximate two-dimensional solver of the nonlinear Fokker-Planck-Landau collision operator has been developed using the assumption that the particle probability distribution function is independent of gyroangle in the limit of strong magnetic field. The isotropic one-dimensional scheme developed for nonlinear Fokker-Planck-Landau equation by Buet and Cordier [J. Comput. Phys. 179, 43 (2002)] and for linear Fokker-Planck-Landau equation by Chang and Cooper [J. Comput. Phys. 6, 1 (1970)] have been modified and extended to two-dimensional nonlinear equation. In addition, a method is suggested to apply the new velocity-grid based collision solver to Lagrangian particle-in-cell simulation by adjusting the weights of marker particles and is applied to a five dimensional particle-in-cell code to calculate the neoclassical ion thermal conductivity in a tokamak plasma. Error verifications show practical aspects of the present scheme for both grid-based and particle-based kinetic codes.
Publisher
AMER INST PHYSICS
ISSN
1070-664X

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