Moment-Preserving SN Discretizations for the One-Dimensional Fokker-Planck Equation
- Los Alamos National Laboratory
The Fokker-Planck equation: (1) Describes the transport and interactions of charged particles, (2) Many small-angle scattering collisions, (3) Asymptotic limit of the Boltzmann equation (Pomraning, 1992), and (4) The Boltzmann collision operator becomes the angular Laplacian. SN angular discretization: (1) Angular flux is collocated at the SN quadrature points, (2) The second-order derivatives in the Laplacian term must be discretized, and (3) Weighted finite-difference method preserves zeroth and first moments (Morel, 1985). Moment-preserving methods: (1) Collocate the Fokker-Planck operator at the SN quadrature points, (2) Develop several related and/or equivalent methods, and (3) Motivated by discretizations for the angular derivative appearing in the transport equation in one-dimensional spherical coordinates.
- Research Organization:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Organization:
- DOE/LANL
- DOE Contract Number:
- AC52-06NA25396
- OSTI ID:
- 1044079
- Report Number(s):
- LA-UR-12-22209; TRN: US1203324
- Resource Relation:
- Conference: 2012 American Nuclear Society Annual Meeting ; 2012-06-25 - 2012-06-28 ; Chicago, Illinois, United States
- Country of Publication:
- United States
- Language:
- English
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