American Nuclear Society

Home / Publications / Journals / Nuclear Science and Engineering / Volume 169 / Number 2

Multilevel Quasidiffusion Methods for Solving Multigroup Neutron Transport k-Eigenvalue Problems in One-Dimensional Slab Geometry

Dmitriy Y. Anistratov, Vladimir Ya. Gol'din

Nuclear Science and Engineering / Volume 169 / Number 2 / October 2011 / Pages 111-132

Technical Paper /

The methods for solving k-eigenvalue problems for the multigroup neutron transport equation in one-dimensional slab geometry are presented. They are defined by means of multigroup and effective grey (one-group) low-order quasidiffusion (QD) equations. In this paper we formulate and study different variants of nonlinear QD iteration algorithms. These methods are analyzed on a set of test problems designed using C5G7 benchmark data. We present numerical results that demonstrate the performance of iteration schemes in different types of reactor physics problems. We consider tests that represent single-assembly and color-set calculations as well as a problem with elements of full-core computations involving a reflector zone.

Questions or comments about the site? Contact the ANS Webmaster.