Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0

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Publication Type pre-print
School or College College of Engineering
Department Chemical Engineering
Creator Ring, Terry Arthur
Other Author Crawford, Douglas S.
Title Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0
Date 2012-01-01
Description The energy dependent neutron diffusion equation (EDNDE) is converted into a moment equation which is solved analytically for the 1-D problem of a bare sphere of pure 235U. The normalized moments 0-5 generated analytically are compared to normalized energy moments, from Monte Carlo N Particle 5 version 1.40 (MCNP5) and Attila-7.1.0-beta version (Attila). The analytic normalized neutron energy moments, fall between the results from MCNP5 (lower bound) and Attila (upper bound) and are accurate compared to MCNP5 neutron energy moments when error in this Monte Carlo simulation are considered. The error range is from 0% to 14%. The Attila moments are less accurate when compared to MCNP5 than the analytical moments derived in this work. The method of moments is shown to be a fast reliable method, compared to either Monte Carlo methods (MCNP5) or 30 multi-energy group methods (Attila).
Type Text
Publisher Elsevier
Volume 50
First Page 18
Last Page 32
Dissertation Institution University of Utah
Language eng
Bibliographic Citation Crawford, D. S., & Ring, T. A. (2012). Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0. Annals of Nuclear Energy, 50, 18-32.
Rights Management (c) Elsevier; Reprinted from Crawford, D. S., & Ring, T. A. (2012). Verification of analytic energy moments for the one-dimensional energy dependent neutron diffusion equation with MCNP5 and Attila-7.1.0. Annals of Nuclear Energy, 50, 18-32. http://dx.doi.org/DOI: 10.1016/j.anucene.2012.06.022.
Format Medium application/pdf
Format Extent 1,779,755 bytes
Identifier uspace,17915
ARK ark:/87278/s6j96r4r
Setname ir_uspace
Date Created 2013-01-23
Date Modified 2021-05-06
ID 708293
Reference URL https://collections.lib.utah.edu/ark:/87278/s6j96r4r
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