TY - GEN
T1 - Extension of the 1D four-group analytic nodal method to full multigroup
AU - Ganapol, B. D.
AU - Nigg, D. W.
PY - 2008
Y1 - 2008
N2 - In the mid 80's, a four-group/two-region, entirely analytical 1D nodal benchmark appeared. It was readily acknowledged that this special case was as far as one could go in terms of group number and still achieve an analytical solution. In this work, we show that by decomposing the solution to the multigroup diffusion equation into homogeneous and particular solutions, extension to any number of groups is a relatively straightforward exercise using the mathematics of linear algebra.
AB - In the mid 80's, a four-group/two-region, entirely analytical 1D nodal benchmark appeared. It was readily acknowledged that this special case was as far as one could go in terms of group number and still achieve an analytical solution. In this work, we show that by decomposing the solution to the multigroup diffusion equation into homogeneous and particular solutions, extension to any number of groups is a relatively straightforward exercise using the mathematics of linear algebra.
UR - https://www.scopus.com/pages/publications/79953854454
M3 - Conference contribution
AN - SCOPUS:79953854454
SN - 9781617821219
T3 - International Conference on the Physics of Reactors 2008, PHYSOR 08
SP - 582
EP - 588
BT - International Conference on the Physics of Reactors 2008, PHYSOR 08
PB - Paul Scherrer Institut
T2 - International Conference on the Physics of Reactors 2008, PHYSOR 08
Y2 - 14 September 2008 through 19 September 2008
ER -