Efficient solution of the simplified PN equations

被引：27

作者：

Hamilton, Steven P. ^{[1
]}

Evans, Thomas M. ^{[1
]}

机构：

[1] Oak Ridge Natl Lab, Oak Ridge, TN 37831 USA

来源：

JOURNAL OF COMPUTATIONAL PHYSICS | 2015年 / 284卷

关键词：

Radiation transport; Nuclear criticality; Eigenvalue solvers; ACCELERATION SCHEME; DAVIDSON METHOD; EIGENVALUES; ITERATIONS;

D O I：

10.1016/j.jcp.2014.12.014

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：155 / 170

页数：16

共 49 条

[31] THEORETICAL ASPECTS OF THE SIMPLIFIED Pn EQUATIONS [J].