Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation

doi:10.1080/00295639.2020.1776057

CORC > 上海应用物理研究所 > 中国科学院上海应用物理研究所 > 中科院上海应用物理研究所2011-2017年

	Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation
	Xia, SP ; Cheng, MS ; Dai, ZM
刊名	NUCLEAR SCIENCE AND ENGINEERING
	2020
卷号	194 期号:12 页码:1143-1161
关键词	MATRIX COMPUTE
ISSN号	0029-5639
DOI	10.1080/00295639.2020.1776057
文献子类	期刊论文
英文摘要	Burnup calculations play a very important role in nuclear reactor design and analysis, and solving burnup equations is an essential topic in burnup calculations. In the last decade, several high-accuracy methods, mainly including the Chebyshev rational approximation method (CRAM), the quadrature-based rational approximation method, the Laguerre polynomial approximation method, and the mini-max polynomial approximation method, have been proposed to solve the burnup equations. Although these methods have been demonstrated to be quite successful in the burnup calculations, limitations still exist in some cases, one of which is that the accuracy becomes compromised when treating the time-dependent polynomial external feed rate. In this work, a new method called the Pade rational approximation method (PRAM) is proposed. Without directly approximating the matrix exponential, this new method is derived by using the Pade rational function to approximate the scalar exponential function in the formula of the inverse Laplace transform of burnup equations. Several test cases are carried out to verify the proposed new method. The high accuracy of the PRAM is validated by comparing the numerical results with the high-precision reference solutions. Against CRAM, PRAM is significantly superior in handling the burnup equations with time-dependent polynomial external feed rates and is much more efficient in improving the accuracy by using substeps, which demonstrates that PRAM is the attractive method for burnup calculations.
语种	英语
内容类型	期刊论文
源URL	[http://ir.sinap.ac.cn/handle/331007/33146]
专题	上海应用物理研究所_中科院上海应用物理研究所2011-2017年
作者单位	1.Chinese Acad Sci, Innovat Acad TMSR Energy Syst, Shanghai 201800, Peoples R China 2.Chinese Acad Sci, Shanghai Inst Appl Phys, Shanghai 201800, Peoples R China
推荐引用方式 GB/T 7714	Xia, SP,Cheng, MS,Dai, ZM. Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation[J]. NUCLEAR SCIENCE AND ENGINEERING,2020,194(12):1143-1161.
APA	Xia, SP,Cheng, MS,&Dai, ZM.(2020).Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation.NUCLEAR SCIENCE AND ENGINEERING,194(12),1143-1161.
MLA	Xia, SP,et al."Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation".NUCLEAR SCIENCE AND ENGINEERING 194.12(2020):1143-1161.