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Title: A Fokker-Planck-Landau collision equation solver on two-dimensional velocity grid and its application to particle-in-cell simulation

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.
Authors:
;  [1] ;  [2]
  1. Princeton Plasma Physics Laboratory, Princeton University, Princeton, New Jersey 08543 (United States)
  2. (Korea, Republic of)
Publication Date:
OSTI Identifier:
22251976
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 21; Journal Issue: 3; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; COLLISIONS; DISTRIBUTION FUNCTIONS; FOKKER-PLANCK EQUATION; MAGNETIC FIELDS; NEOCLASSICAL TRANSPORT THEORY; NONLINEAR PROBLEMS; PLASMA; SIMULATION; THERMAL CONDUCTIVITY; TOKAMAK DEVICES; TWO-DIMENSIONAL CALCULATIONS