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

Journal Article · Fri Oct 31 23:00:00 EST 1980 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(80)90013-3· OSTI ID:7022753

Mehlhorn, T A; Duderstadt, J J

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,..mu..,..nu..,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.

• Research Organization: Department of Nuclear Engineering, The University of Michigan, Ann Arbor, Michigan 48109
• OSTI ID: 7022753
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 38:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION
ALPHA PARTICLES
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT
COMPUTER CODES
CONSERVATION LAWS
DIFFERENTIAL EQUATIONS
DISTRIBUTION FUNCTIONS
ENERGY ABSORPTION
ENERGY RANGE
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
MEV RANGE
MEV RANGE 01-10
NUMERICAL SOLUTION
PLASMA
RADIATION TRANSPORT
T CODES
TIME DEPENDENCE
VELOCITY