Numerical analysis of the Boltzmann equation including Fokker-Planck terms

Journal Article · Sat May 01 04:00:00 EDT 1982 · Nucl. Sci. Eng.; (United States)

OSTI ID:6810081

Przybylski, K; Lizou, J

After a short presentation of the Boltzmann-Fokker-Planck (BFP) equation, which was derived in a previous work, two numerical approaches to solve this equation are investigated--the multigroup method and a diamond scheme applied in a consistent way to space and energy variables. Because of the parabolic nature of the Fokker-Planck operator, it is shown that the standard neutron transport codes cannot solve such an equation. With the one-dimensional time-dependent BFP-1 code, many numerical results have been produced. All deal with the transport of charged particles in dense plasmas because such a problem is very severe from a numerical point of view. Other applications can be imagined since the BFP formalism is quite general.

• Research Organization: Institut de Genie Atomique, Ecole Polytechnique Federale de Lausanne EPFL-Ecublens, CH-1015 Lausanne
• OSTI ID: 6810081
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 81:1; ISSN NSENA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
B CODES
BOLTZMANN EQUATION
CHARGED-PARTICLE TRANSPORT
CHARGED-PARTICLE TRANSPORT THEORY
COMPARATIVE EVALUATIONS
COMPUTER CALCULATIONS
COMPUTER CODES
DIFFERENTIAL EQUATIONS
EQUATIONS
FOKKER-PLANCK EQUATION
MATHEMATICAL SPACE
MATHEMATICS
MULTIGROUP THEORY
NEUTRAL-PARTICLE TRANSPORT
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
NUMERICAL ANALYSIS
ONE-DIMENSIONAL CALCULATIONS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
RADIATION TRANSPORT
SPACE
TIME DEPENDENCE
TRANSPORT THEORY
USES