A rigorous treatment of transverse buckling effects in two-dimensional neutron transport computations
The variational formulation of the even-parity form of the within-group neutron transport equation is generalized to include complex trial functions. The introduction of transverse leakage effects through the buckling term exp(iB X r) leads, in general, to a coupled set of Euler equations for the real and imaginary even-parity flux components. The coupling between real and imaginary flux components is retained in both discrete-ordinates and finite element angular approximations. Employment of the spherical harmonics approximations in angle, however, leads to an uncoupled set of Euler equations if an appropriate choice of axes is made. Hence, a rigorous buckling treatment of third-dimensional leakage can be incorporated into two-dimensional transport computations without solving for the imaginary flux component. The foregoing spherical harmonic formulation is combined with finite element discretization in space in the multigroup criticality code FESH. One- and multigroup results are presented to demonstrate the elimination of ray effects and to examine the errors introduced by the DB/sup 2/ leakage correction used in conventional transport calculations.
- Research Organization:
- Northwestern University, Nuclear Engineering Program, The Technological Institute Evanston, Illinois 60201
- OSTI ID:
- 6835732
- Journal Information:
- Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 73:2; ISSN NSENA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
220100* -- Nuclear Reactor Technology-- Theory & Calculation
654003 -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BUCKLING
COMPUTER CALCULATIONS
COMPUTER CODES
CONFIGURATION
CORRECTIONS
COUPLING
DATA
DISCRETE ORDINATE METHOD
F CODES
FINITE ELEMENT METHOD
HARMONICS
INFORMATION
KINETICS
NEUTRON FLUX
NEUTRON LEAKAGE
NEUTRON TRANSPORT THEORY
NUMERICAL DATA
NUMERICAL SOLUTION
OSCILLATIONS
PARITY
PARTICLE PROPERTIES
RADIATION FLUX
REACTOR KINETICS
SPHERICAL CONFIGURATION
TRANSPORT THEORY
TWO-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS