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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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Published in: | Journal of Computational Physics 1980-11, Vol.38 (1), p.86-106 |
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Main Authors: | , |
Format: | Article |
Language: | English |
Citations: | Items that this one cites Items that cite this one |
Online Access: | Get full text |
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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. |
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ISSN: | 0021-9991 1090-2716 |
DOI: | 10.1016/0021-9991(80)90013-3 |