Extremium variational principles for the monoenergetic transport equation with arbitrary adjoint source (LWBR Development Program)
Technical Report
·
OSTI ID:6730860
A variational method is given for determining the lower and upper bounds for the monoenergetic transport equation with arbitrary adjoint source. The functional is chosen as a form of the one-velocity Boltzmann transport equation; spherical harmonics expansions are used as trial functions. Three types of boundary conditions (b.c.) are considered: vacuum b.c., symmetric b.c., and antisymmetric b.c. Mathematical properties of the functional are deduced; stationarity criteria are applied to the functional for all three types of boundary conditions. Lower and upper bounds are obtained for the functional. A numerical example is included. 18 references. (NSA 23: 23999)
- Research Organization:
- Bettis Atomic Power Lab., Pittsburgh, PA (USA)
- DOE Contract Number:
- AT(11-1)-GEN-14
- OSTI ID:
- 6730860
- Report Number(s):
- WAPD-TM-771
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
22 GENERAL STUDIES OF NUCLEAR REACTORS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADJOINT FLUX
BREEDER REACTORS
LWBR TYPE REACTORS
NEUTRON FLUX
NEUTRON TRANSPORT THEORY
RADIATION FLUX
REACTORS
SPHERICAL HARMONICS
THERMAL REACTORS
TRANSPORT THEORY
VARIATIONAL METHODS
WATER COOLED REACTORS
WATER MODERATED REACTORS
220100 -- Nuclear Reactor Technology-- Theory & Calculation
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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADJOINT FLUX
BREEDER REACTORS
LWBR TYPE REACTORS
NEUTRON FLUX
NEUTRON TRANSPORT THEORY
RADIATION FLUX
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SPHERICAL HARMONICS
THERMAL REACTORS
TRANSPORT THEORY
VARIATIONAL METHODS
WATER COOLED REACTORS
WATER MODERATED REACTORS