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.
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- Resource Type:
- Technical Report
- Research Org:
- Oak Ridge National Lab., TN (USA)
- Country of Publication:
- United States
- 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
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