TY - GEN
T1 - Comparison of analytic moments for the 1-dimensional energy dependent neutron diffusion equation with MCNP5 moments
AU - Crawford, Doug
AU - Ring, Terry A.
PY - 2010
Y1 - 2010
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=78751537826&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:78751537826
SN - 9780816910656
T3 - AIChE Annual Meeting, Conference Proceedings
BT - 10AIChE - 2010 AIChE Annual Meeting, Conference Proceedings
T2 - 2010 AIChE Annual Meeting, 10AIChE
Y2 - 7 November 2010 through 12 November 2010
ER -