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Title: Generalized perturbation theory using two-dimensional, discrete ordinates transport theory

Perturbation theory for changes in linear and bilinear functionals of the forward and adjoint fluxes in a critical reactor has been implemented using two-dimensional discrete ordinates transport theory. The computer program DOT IV was modified to calculate the generalized functions GAMMA and GAMMA*. Demonstration calculations were performed for changes in a reaction-rate ratio and a reactivity worth caused by system perturbations. The perturbation theory predictions agreed with direct calculations to within about 2%. A method has been developed for calculating higher lambda eigenvalues and eigenfunctions using techniques similar to those developed for generalized functions. Demonstration calculations have been performed to obtain these eigenfunctions.
Authors:
Publication Date:
OSTI Identifier:
5261569
Report Number(s):
ORNL/CSD/TM-127
TRN: 80-013535
DOE Contract Number:
W-7405-ENG-26
Resource Type:
Technical Report
Research Org:
Oak Ridge National Lab., TN (USA)
Country of Publication:
United States
Language:
English
Subject:
22 GENERAL STUDIES OF NUCLEAR REACTORS; REACTOR KINETICS; PERTURBATION THEORY; NEUTRON FLUX; POWER DENSITY; REACTIVITY WORTHS; TWO-DIMENSIONAL CALCULATIONS; KINETICS; RADIATION FLUX 220100* -- Nuclear Reactor Technology-- Theory & Calculation