Comparison of analytic moments for the 1-dimensional energy dependent neutron diffusion equation with MCNP5 moments

Doug Crawford, Terry A. Ring

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The energy dependent neutron flux plotted as a function of energy looks like a Maxwell-Boltzmann distribution1. Because the energy dependent neutron flux shows population density function characteristics, the authors of this paper applied the method of moments to the energy dependent neutron diffusion equation (EDNDE) and compared normalized moments 1, 2, 3 and 4 to moments calculated from Monte Carlo N Particle version 5 (MCNP5) for two different bare homogeneous critical spheres. The difference in the normalized moments 1, 2, 3 and 4 varied only by a few percent where diffusion theory is valid and by as much as 20% where diffusion theory is limited i.e. three mean free paths near the boundary. This paper is the beginning of developing the method of moments and in the future the reconstruction of neutron flux with quadrature method of moments or other possibilities as a full spectrum solution for neutron transport.

Original languageEnglish
Title of host publication10AIChE - 2010 AIChE Annual Meeting, Conference Proceedings
StatePublished - 2010
Externally publishedYes
Event2010 AIChE Annual Meeting, 10AIChE - Salt Lake City, UT, United States
Duration: Nov 7 2010Nov 12 2010

Publication series

NameAIChE Annual Meeting, Conference Proceedings

Conference

Conference2010 AIChE Annual Meeting, 10AIChE
Country/TerritoryUnited States
CitySalt Lake City, UT
Period11/7/1011/12/10

Fingerprint

Dive into the research topics of 'Comparison of analytic moments for the 1-dimensional energy dependent neutron diffusion equation with MCNP5 moments'. Together they form a unique fingerprint.

Cite this