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Non-self-adjoint variational procedure for the finite-element approximation of the transport equation

Journal Article · · Transp. Theory Stat. Phys.; (United States)
A finite-element procedure is presented employing both self-adjoint and non-self-adjoint variational principles associated with the neutron-transport equation. This scheme admits independent approximation of the even- and odd-parity components of the angular flux in any subregion of the system under consideration. Numerical examples in plane and spherical geometries demonstrate that in some cases a substantial gain in accuracy is achieved by the new scheme as compared to the self-adjoint approach.
Research Organization:
Helsinki Univ. of Tech., Otaniemi, Finland
OSTI ID:
7263085
Journal Information:
Transp. Theory Stat. Phys.; (United States), Journal Name: Transp. Theory Stat. Phys.; (United States) Vol. 4:1; ISSN TTSPB
Country of Publication:
United States
Language:
English

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Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR DISTRIBUTION
CONFIGURATION
DISTRIBUTION
MATHEMATICAL SPACE
NEUTRON TRANSPORT THEORY
PARITY
PARTICLE PROPERTIES
PHASE SPACE
SPACE
SPHERICAL CONFIGURATION
TRANSPORT THEORY
VARIATIONAL METHODS