Solution of the Fokker--Planck transport equation by matrix factorization

Journal Article · Sat Aug 01 00:00:00 EDT 1981 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(81)90250-3· OSTI ID:6100906

Andrade, A; Oliphant, T A; Kammash, T

A matrix factorization method is used to solve the Fokker--Planck (Landau) charged particle transport equation. By treating all phase space variables as discrete in analogy to S/sub n/ neutronics, the collision term takes on a five-point difference form which is readily treatable by this method. In order to illustrate this technique, the energy deposited by fast ions in a geometrically spherical, Maxwellian background plasma is calculated. Although this technique can be generalized to other geometries, its essential elements are best illustrated in this simple context.

• Research Organization: Los Alamos Scientific Laboratory, Los Alamos, New Mexico 87544
• OSTI ID: 6100906
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 41:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700105 -- Fusion Energy-- Plasma Research-- Plasma Kinetics-Theoretical-- (-1987)
99 GENERAL AND MISCELLANEOUS
990200* -- Mathematics & Computers
ALGORITHMS
ALPHA PARTICLES
CHARGED PARTICLES
CHARGED-PARTICLE TRANSPORT THEORY
DIFFERENTIAL EQUATIONS
EQUATIONS
FACTORIZATION
FOKKER-PLANCK EQUATION
MATHEMATICAL LOGIC
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
TRANSPORT THEORY