High-Order Boundary Condition Perturbation Theory for the Neutron Transport Equation

Journal Article · Fri Mar 15 00:00:00 EST 2002 · Nuclear Science and Engineering

OSTI ID:20804772

McKinley, Michael Scott; Rahnema, Farzad ^[1]

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1. Georgia Institute of Technology (United States)

First-order boundary condition perturbation theory is extended to the n'th order in transport theory for eigenvalue problems. In particular, using an unperturbed (known) solution, formalisms are developed to determine the solution to the neutron transport equation when the boundary condition of the system is perturbed. The new method requires the computation of an adjoint Green's function. The numerical solution of this function is discussed. Finally, four numerical examples are provided to verify the validity of the formalisms presented.

• OSTI ID: 20804772
• Journal Information: Nuclear Science and Engineering, Vol. 140, Issue 3; Other Information: Copyright (c) 2006 American Nuclear Society (ANS), United States, All rights reserved. http://epubs.ans.org/; Country of input: International Atomic Energy Agency (IAEA); ISSN 0029-5639
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
BOUNDARY CONDITIONS
EIGENVALUES
GREEN FUNCTION
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
PERTURBATION THEORY