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

Abstract

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:
Research Org.:
Oak Ridge National Lab., TN (USA)
OSTI Identifier:
5261569
Report Number(s):
ORNL/CSD/TM-127
TRN: 80-013535
DOE Contract Number:
W-7405-ENG-26
Resource Type:
Technical Report
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

Citation Formats

Childs, R.L. Generalized perturbation theory using two-dimensional, discrete ordinates transport theory. United States: N. p., 1980. Web. doi:10.2172/5261569.
Childs, R.L. Generalized perturbation theory using two-dimensional, discrete ordinates transport theory. United States. doi:10.2172/5261569.
Childs, R.L. Sun . "Generalized perturbation theory using two-dimensional, discrete ordinates transport theory". United States. doi:10.2172/5261569. https://www.osti.gov/servlets/purl/5261569.
@article{osti_5261569,
title = {Generalized perturbation theory using two-dimensional, discrete ordinates transport theory},
author = {Childs, R.L.},
abstractNote = {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.},
doi = {10.2172/5261569},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Jun 01 00:00:00 EDT 1980},
month = {Sun Jun 01 00:00:00 EDT 1980}
}

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