Publication Type
Journal
Journal Name
Journal of Computational Physics
Publication Date
Page Numbers
155 to 170
Volume
284
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 C5G7
MOX test problem as well as an operational PWR model. Our results show
that the most ecient approach is the generalized Davidson method, that
is 30{40 times faster than traditional power iteration and 6{10 times faster
than Arnoldi's method.
