CAS OpenIR  > 中科院上海应用物理研究所2011-2020年
Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation
Xia, SP; Cheng, MS; Dai, ZM
2020
Source PublicationNUCLEAR SCIENCE AND ENGINEERING
ISSN0029-5639
Volume194Issue:12Pages:1143-1161
Subtype期刊论文
AbstractBurnup 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.
KeywordMATRIX COMPUTE
DOI10.1080/00295639.2020.1776057
Indexed BySCI ; EI
Language英语
Citation statistics
Document Type期刊论文
Identifierhttp://ir.sinap.ac.cn/handle/331007/33146
Collection中科院上海应用物理研究所2011-2020年
Affiliation1.Chinese Acad Sci, Shanghai Inst Appl Phys, Shanghai 201800, Peoples R China
2.Chinese Acad Sci, Innovat Acad TMSR Energy Syst, Shanghai 201800, Peoples R China
Recommended Citation
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.
Files in This Item: Download All
File Name/Size DocType Version Access License
Solving Burnup Equat(4956KB)期刊论文出版稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Xia, SP]'s Articles
[Cheng, MS]'s Articles
[Dai, ZM]'s Articles
Baidu academic
Similar articles in Baidu academic
[Xia, SP]'s Articles
[Cheng, MS]'s Articles
[Dai, ZM]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Xia, SP]'s Articles
[Cheng, MS]'s Articles
[Dai, ZM]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: Solving Burnup Equations by Numerical Inversion of the Laplace Transform Using Pade Rational Approximation.pdf
Format: Adobe PDF
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.