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.
- Research Organization:
- Oak Ridge National Lab., TN (USA)
- DOE Contract Number:
- W-7405-ENG-26
- OSTI ID:
- 5261569
- Report Number(s):
- ORNL/CSD/TM-127
- Country of Publication:
- United States
- Language:
- English
Similar Records
Generalized perturbation theory using two-dimensional, discrete ordinates transport theory
Development and application of a discrete ordinates adjoint difference method for one-dimensional shield weight optimization
Variational nodal transport perturbation theory
Thesis/Dissertation
·
Sun Dec 31 23:00:00 EST 1978
·
OSTI ID:5371527
Development and application of a discrete ordinates adjoint difference method for one-dimensional shield weight optimization
Thesis/Dissertation
·
Fri Jun 01 00:00:00 EDT 1973
·
OSTI ID:4473702
Variational nodal transport perturbation theory
Journal Article
·
Mon Jul 01 00:00:00 EDT 1996
· Nuclear Science and Engineering
·
OSTI ID:282415