南华大学学报（自然科学版）2016，Vol.30Issue(3)：9-13,5.
基于隐式重启Arnoldi算法一维平板堆λ和瞬发α本征值问题谐波计算分析
Harmonics Calculation and Analysis of λand Prompt αEigenvalue Problems for Slab Reactor Based on the Implicitly Restarted Arnoldi Methods
摘要
Abstract
Harmonics and associated eigenvalues of neutron balance queation play an im-portant role in harmonics expansion method of neutron space-time kinetics and studying of neutron spatial effect in external source driven subcritical reactors.In the present paper,re-lationship between λ and prompt α eigenvalue problems is derived and eigenvalues of one dimensional slab are calucated with the Implitly Restarted Arnoldi Methods. Results show good agreemments of eigenvalues between numerical calculation and analytical solution.For the fisrt ten eigenvalus, the maximum relative erro to analytial solution is less than 3%. When time absorption term αp,n/v added to absorption cross section in λ eigenvalue prob-lem,the nth order eigenvaluesλn are all euqal to unity,which conforms the relationship be-tween λ and prompt α eigenvalue problems. Works performed in the present paper prove the effectiveness of IRAM in calcualtion of high order harmonics of diffusion equations and the validaty of relationship between λ and prompt α eigenvalue problems,which makes a successfuel foundation of IRAM to multi-dimentioanl and multi-group diffusion equations.关键词
中子扩散方程/本征值问题/隐式重启Arnoldi算法/一维平板反应堆Key words
Neutron diffusion equations/eigenvalue problems/the Implicitly Restarted Arnoldi Methods/one dimensional slab reactor分类
能源科技引用本文复制引用
谢金森,赵守智,于涛,陈珍平,谢芹,刘紫静,曾文杰,何丽华..基于隐式重启Arnoldi算法一维平板堆λ和瞬发α本征值问题谐波计算分析[J].南华大学学报（自然科学版）,2016,30(3):9-13,5.基金项目
国家自然科学基金资助项目(11305088)；湖南省自然科学基金资助项目(14JJ2088) （11305088）
