Spatial modes for the neutron diffusion equation and their computation

被引：14
作者：
Carreno, A. [1 ]
Vidal-Ferrandiz, A. [1 ]
Ginestar, D. [2 ]
Verdu, G. [1 ]
机构：
[1] Univ Politecn Valencia, Inst Seguridad Ind Radiofis & Medioambiental, Camino Vera S-N, E-46022 Valencia, Spain
[2] Univ Politecn Valencia, Inst Univ Matemat Multidisciplinar, Camino Vera S-N, E-46022 Valencia, Spain
来源：
ANNALS OF NUCLEAR ENERGY | 2017年 / 110卷
关键词：
Spatial modes; Finite element; Neutron diffusion equation; Block Newton method; Generalized eigenvalue problem; NUCLEAR-POWER REACTOR; DOMINANT TIME-EIGENVALUES; LAMBDA-MODES; ALPHA-MODES; TRANSPORT EQUATION; INSTABILITIES; SYSTEMS;
D O I：
10.1016/j.anucene.2017.08.018
中图分类号：
TL [原子能技术]; O571 [原子核物理学];
学科分类号：
0827 ; 082701 ;
摘要：
Different spatial modes can be defined for the neutron diffusion equation such as the lambda, alpha and gamma-modes. These modes have been successfully used for the analysis of nuclear reactor characteristics. In this work, these modes are studied using a high order finite element method to discretize the equations and also different methods to solve the resulting algebraic eigenproblems, are compared. Particularly, Krylov subspace methods and block-Newton methods have been studied. The performance of these methods has been tested in several 3D benchmark problems: a homogeneous reactor and several configurations of NEACRP reactor. (C) 2017 Published by Elsevier Ltd.
引用
收藏
页码：1010 / 1022
页数：13
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