rep-no: ORNL/CSD/TM-127
Two-Dimensional Calculations
Perturbation Theory
Reactivity Worths
Pages: 119
Radiation Flux 220100* -- Nuclear Reactor Technology-- Theory & Calculation
22 General Studies Of Nuclear Reactors
Generalized perturbation theory using two-dimensional, discrete ordinates transport theory
Power Density
doi: 10.2172/5261569
grantno: W-7405-ENG-26
Kinetics
Childs, R.L.
Neutron Flux
ark: ark:/67531/metadc1068157
1980-06-01
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.
Oak Ridge National Laboratory
Reactor Kinetics
osti: 5261569