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A Three-Scale Expansion Solution for a Time-Dependent P1 Neutron Transport Problem with External Source
Ist Teil von
Nuclear science and engineering, 2009-10, Vol.163 (2), p.152-174
Ort / Verlag
La Grange Park, IL: Taylor & Francis
Erscheinungsjahr
2009
Link zum Volltext
Quelle
Taylor & Francis Journals Auto-Holdings Collection
Beschreibungen/Notizen
This work presents the development of an analytical approximation solution for a space-time-dependent neutron transport problem in a one-dimensional system consisting of a homogenized medium with a central external source with Green's functions. The delayed neutron production is implemented in two additional timescales with the multiple-scale expansion method. Qualitative results for a given system are analyzed, and a detailed comparison of the developed analytical approximation solution with results gained by the point-kinetics equation and the time-dependent diffusion equation without separation of space and time is given.