Generalized perturbation theory based on the method of cyclic characteristics

Conference · Sat Jul 01 04:00:00 EDT 2006

OSTI ID:22039443

Assawaroongruengchot, M; Marleau, G ^[1]

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1. Institut de Genie Nucleaire, Departement de Genie Physique, Ecole Polytechnique de Montreal, 2900 Boul. Edouard-Montpetit, Montreal, Que. H3T 1J4 (Canada)

A GPT algorithm for estimation of eigenvalues and reaction-rate ratios is developed for the neutron transport problems in 2D fuel assemblies with isotropic scattering. In our study the GPT formulation is based on the integral transport equations. The mathematical relationship between the generalized flux importance and generalized source importance functions is applied to transform the generalized flux importance transport equations into the integro-differential forms. The resulting adjoint and generalized adjoint transport equations are then solved using the method of cyclic characteristics (MOCC). Because of the presence of negative adjoint sources, a biasing/decontamination scheme is applied to make the generalized adjoint functions positive in such a way that it can be used for the multigroup re-balance technique. To demonstrate the efficiency of the algorithms, perturbative calculations are performed on a 17 x 17 PWR lattice. (authors)

• Research Organization: American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
• OSTI ID: 22039443
• Country of Publication: United States
• Language: English

Related Subjects

21 SPECIFIC NUCLEAR REACTORS AND ASSOCIATED PLANTS
ALGORITHMS
EFFICIENCY
EIGENFUNCTIONS
EIGENVALUES
FUEL ASSEMBLIES
NEUTRON TRANSPORT
NEUTRON TRANSPORT THEORY
PERTURBATION THEORY
PWR TYPE REACTORS
REACTION KINETICS
REACTOR LATTICES
SCATTERING