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Title: Moment-Preserving SN Discretizations for the One-Dimensional Fokker-Planck Equation

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.
Authors:
 [1] ;  [1]
  1. Los Alamos National Laboratory
Publication Date:
OSTI Identifier:
1044079
Report Number(s):
LA-UR-12-22209
TRN: US1203324
DOE Contract Number:
AC52-06NA25396
Resource Type:
Conference
Resource Relation:
Conference: 2012 American Nuclear Society Annual Meeting ; 2012-06-25 - 2012-06-28 ; Chicago, Illinois, United States
Research Org:
Los Alamos National Laboratory (LANL)
Sponsoring Org:
DOE/LANL
Country of Publication:
United States
Language:
English
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 97 MATHEMATICAL METHODS AND COMPUTING; BOLTZMANN EQUATION; CHARGED PARTICLES; FOKKER-PLANCK EQUATION; LAPLACIAN; QUADRATURES; SCATTERING; TRANSPORT