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

Michael Scott McKinley, Farzad Rahnema

Nuclear Science and Engineering

Volume 140 / Number 3 / March 2002 / Pages 285-294


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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.

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