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A discrete ordinates solution of the Fokker-Planck equation characterizing charged particle transport

A formalism for obtaining a discrete ordinates solution of the time and space-dependent Fokker-Planck equation governing the transport of charged particles in multispecie plasmas is developed. In the absence of macroscopic electromagnetic fields and assuming isotropic Rosenbluth potentials, the Fokk...

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Bibliographic Details
Published in:Journal of Computational Physics 1980-11, Vol.38 (1), p.86-106
Main Authors: Mehlhorn, Thomas A., Duderstadt, James J.
Format: Article
Language:English
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Summary:A formalism for obtaining a discrete ordinates solution of the time and space-dependent Fokker-Planck equation governing the transport of charged particles in multispecie plasmas is developed. In the absence of macroscopic electromagnetic fields and assuming isotropic Rosenbluth potentials, the Fokker-Planck equation is solved for a test particle distribution; both angular dispersion and velocity diffusion are accounted for. Difference relations are obtained and a series of validation problems are discussed. The conservation of both particles and energy are continuously monitored. In addition to providing the single-particle distribution function f (r, μ, ν, t), spatially dependent energy deposition profiles are calculated. Comparisons with reported energy deposition profiles for a central source of 3.5-MeV alpha particles in a spherical D-T plasma are made and are found to be in good agreement.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(80)90013-3