Singular perturbation analysis of the neutron transport equation
- Westinghouse Savannah River Co., Aiken, SC (United States)
- Michigan Univ., Ann Arbor, MI (United States)
A singular perturbation technique is applied to the one-speed, one- dimensional neutron transport equation with isotropic scattering. Our technique extends previous singular perturbation applications to higher-order and reduces the transport problem to a series of diffusion theory problems in the interior medium and a series of analytically solvable transport problems in the boundary layers. Asymptotic matching links the two solutions, yielding boundary conditions and a composite expansion valid throughout the media. Our formulation generates an accurate correction for the material interface condition used in global diffusion theory calculations.
- Research Organization:
- Westinghouse Savannah River Co., Aiken, SC (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States)
- DOE Contract Number:
- AC09-89SR18035
- OSTI ID:
- 393304
- Report Number(s):
- NMP-PLS--9600107; CONF-961103--21; ON: TI97060008
- Country of Publication:
- United States
- Language:
- English
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