The Evaluation of Radiation Transport Forward-Adjoint Flux Integrals Using Monte Carlo Correlated Coupling Methods

Journal Article · Mon Jul 15 04:00:00 EDT 2002 · Nuclear Science and Engineering

OSTI ID:20804792

Cramer, S N ^[1]

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1. Oak Ridge National Laboratory (United States)

Radiation transport integrals containing both forward and adjoint fluxes are amenable to solution by the method of correlated coupling. Existing methods for surface integral coupling of forward and adjoint histories have been extended to volumetric coupling. Within the context of standard Monte Carlo usage, these integral solutions are exact, and the application to perturbation analysis requires no approximation. Coupled forward-adjoint history pairs are initiated at points selected uniformly in the perturbed volume. The energy and angular dependence of each history is dictated by the difference operator of the forward and adjoint transport equations, one equation for the perturbed system and one for the unperturbed system. The volume integral is accumulated as these history pairs score in the respective source or response regions. Some simple systems are analyzed showing that the new method gives comparable results, and a lower variance, as for existing methods. A review of current correlated coupling methodology is given, and suggestions for further study are outlined.

• OSTI ID: 20804792
• Journal Information: Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 3 Vol. 141; ISSN NSENAO; ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADJOINT FLUX
APPROXIMATIONS
COUPLING
EQUATIONS
INTEGRALS
MATHEMATICAL SOLUTIONS
MONTE CARLO METHOD
RADIATION TRANSPORT
TRANSPORT THEORY