Title
Efficient solution of the simplified PN equations.
Abstract
In this paper we show new solver strategies for the multigroup SPN equations for nuclear reactor analysis. By forming the complete matrix over space, moments, and energy, a robust set of solution strategies may be applied. Power iteration, shifted power iteration, Rayleigh quotient iteration, Arnoldi's method, and a generalized Davidson method, each using algebraic and physics-based multigrid preconditioners, have been compared on the C5G7 MOX test problem as well as an operational pressurized water reactor model. Our results show that the most efficient approach is the generalized Davidson method, which is 30–40 times faster than traditional power iteration and 6–10 times faster than Arnoldi's method.
Year
DOI
Venue
2015
10.1016/j.jcp.2014.12.014
Journal of Computational Physics
Keywords
DocType
Volume
Radiation transport,Nuclear criticality,Eigenvalue solvers
Journal
284
ISSN
Citations 
PageRank 
0021-9991
0
0.34
References 
Authors
8
2
Name
Order
Citations
PageRank
Steven P. Hamilton100.34
Thomas M. Evans26213.58