Perturbation theory and importance functions in integral transport formulations
Journal Article
·
· Nucl. Sci. Eng.; (United States)
OSTI ID:7101952
Perturbation theory expressions for the static reactivity derived from the flux, collision density, birth-rate density, and fission-neutron density formulations of integral transport theory, and from the integro-differential formulation, are intercompared. The physical meaning and relation of the adjoint functions corresponding to each of the five formulations are established. It is found that the first-order approximation of the perturbation expressions depends on the transport theory formulation and on the adjoint function used. The approximations of the integro-differential formulation corresponding to different first-order approximations of the integral transport theory formulations are identified. It is found that the accuracy of all first-order approximations of the integral transport formulations examined is superior to the accuracy of first-order integro-differential perturbation theory.
- Research Organization:
- Nuclear Research Center-Negev, Beer-Sheva, Israel
- OSTI ID:
- 7101952
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 61:2; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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