A Three-Scale Expansion Solution for a Time-Dependent P1 Neutron Transport Problem with External Source
A Three-Scale Expansion Solution for a Time-Dependent P1 Neutron Transport Problem with External Source
Merk, B.; Weiß, F. P.
Abstract
This work presents the development of an analytical approximation solution for a space-timedependent neutron transport problem in a one-dimensional system consisting of a homogenized medium with a central external source with Greens 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.
Keywords: Time Dependent Neutron Transport; Multiple Scale Expansion; Green's Functions; Accelerator Driven Systems
- Nuclear Science and Engineering 163(2009), 152-174
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