Solution of the stochastic point kinetics equations using the implicit Euler-Maruyama method

被引：8

作者：

Suescun-Diaz, Daniel ^{[1
]}

Oviedo-Torres, Yohan M. ^{[1
]}

Giron-Cruz, Luis E. ^{[2
]}

机构：

[1] Univ Surcolombiana, Dept Ciencias Nat, Grp Fis Aplicada FIASUR, Neiva 385, Colombia

[2] Pontificia Univ Javeriana Cali, Dept Econ, Grp Invest Econ Gest & Salud, ECGESA, Cali 26239, Colombia

来源：

ANNALS OF NUCLEAR ENERGY | 2018年 / 117卷

关键词：

Stochastic point kinetics equations; Implicit Euler-Maruyama; Neutron density; Nuclear reactors;

D O I：

10.1016/j.anucene.2018.03.013

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：

In this work, the implicit Euler-Maruyama method is used to solve the stochastic point kinetics equations for different forms of reactivity: constant, linear and sinusoidal. A covariance matrix is proposed considering the one-speed diffusion theory of a nuclear reactor subject to the initial condition applying to the pulsed neutron methods. The results obtained with this method are more efficient in the calculation of neutron densities and delayed neutron precursors. It was possible to reduce the standard deviation with a very good precision for the expected values. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：45 / 52

页数：8

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