Petrov-galerkin finite element method for solving the neutron transport equation

Journal Article · Thu May 01 04:00:00 EDT 1986 · J. Comput. Phys.; (United States)

DOI:https://doi.org/10.1016/0021-9991(86)90020-3· OSTI ID:5794860

Greenbaum, A; Ferguson, J M

A finite element using different trial and test spaces in introduced for solving the neutron transport equation in spherical geometry. It is shown that the widely used discrete ordinates method can also be thought of as such a finite element technique, in which integrals appearing in the difference equations are replaced by one-point Gauss quadrature formulas (midpoint rule). Comparison of accuracy between the new method and the discrete ordinates method is discussed, and numerical examples are given to illustrate the greater accuracy of the new technique.

• Research Organization: Lawrence Livermore National Laboratory, Livermore, California 94550
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 5794860
• Journal Information: J. Comput. Phys.; (United States), Journal Name: J. Comput. Phys.; (United States) Vol. 64:1; ISSN JCTPA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
658000 -- Mathematical Physics-- (-1987)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ACCURACY
COMPARATIVE EVALUATIONS
DISCRETE ORDINATE METHOD
FINITE ELEMENT METHOD
GALERKIN-PETROV METHOD
ITERATIVE METHODS
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
TRANSPORT THEORY