Numerical solutions of the Fokker-Planck charged-particle-transport equation

Technical Report · Tue Sep 01 04:00:00 EDT 1981

OSTI ID:5786713

Andrade, A

Two numerical methods are developed to solve the Fokker-Planck charged particle transport equation by simple and efficient means, and without approximation to the collision term. The first of these methods demonstrates that the kinetic transport equation can be integrated to yield the time dependent distribution function of test particles f/sub a/ (r,v,t) in a fully implicit manner by a combination of S/sub n/ methodology with a matrix factorization technique. The second technique that is developed is an implicit Monte Carlo method which is suitable for transport problems in field-free and externally magnetized plasmas. Here the transport of test particles in background Maxwellian plasmas is based on probabilities derivable from the FP equation, such as the expected time for deflection and the expected time of energy exchange.

• Research Organization: Los Alamos National Lab., NM (USA)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5786713
• Report Number(s): LA-8985-T; ON: DE82002960
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105* -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
CHARGED-PARTICLE TRANSPORT THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FOKKER-PLANCK EQUATION
MONTE CARLO METHOD
NUMERICAL SOLUTION
ORBITS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
TEST PARTICLES
TRANSPORT THEORY