ISSN:
1573-8205
Source:
Springer Online Journal Archives 1860-2000
Topics:
Energy, Environment Protection, Nuclear Power Engineering
,
Physics
Notes:
Abstract A-n, S-2n dynamic equations in neutron transport theory are given an analytic solution, suitable for numerical safety code validation. Some numerical results are presented for plane geometry with periodic boundary conditions, within the monokinetic isotropic scattering case. They turn out to be very interesting and physically well interpretable and seem to give a deep insight into the transport effects connected with the finite velocity space migration of localized neutron signals. Balance equations are solved by means of a space Helmholtz series expansion connected to a time-variable Laplace transformation technique. The equations that are to be solved for the considered slab geometry, although perfectly equivalent to S-2n equations, are actually the ones corresponding to the typical second-order A-n model. The given fully analytic solution can be used to yield standard reference results for peculiar space transients, against which any numerical safety code exploiting the same discrete ordinate model can be validated.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01125192
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