立即散射的Milne问题

IF 0.7 4区工程技术 Q3 MATHEMATICS, APPLIED

Journal of Computational and Theoretical Transport Pub Date : 2022-09-19 DOI:10.1080/23324309.2022.2141780

R. G. Türeci

{"title":"立即散射的Milne问题","authors":"R. G. Türeci","doi":"10.1080/23324309.2022.2141780","DOIUrl":null,"url":null,"abstract":"Abstract Recently developed the Anlı-Güngör scattering function is applied to the Milne problem in this study. It is the function of Legendre polynomials with t parameter which can be called as scattering parameter. The extrapolation distance values are calculated for varying t parameters and varying secondary neutron numbers with the HN method. The numerical results are calculated by 40th approximation in order to get high precision results. The calculated extrapolation distance results are very convergence. Since there is no a similar study for the Milne problem with the Anlı-Güngör scattering in the literature, the interpolation technique is applied to the HN method results. Thus, the isotropic scattering results could be determined by t → 0 limit.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"51 1","pages":"354 - 371"},"PeriodicalIF":0.7000,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"The Milne Problem with the Anlı-Güngör Scattering\",\"authors\":\"R. G. Türeci\",\"doi\":\"10.1080/23324309.2022.2141780\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Recently developed the Anlı-Güngör scattering function is applied to the Milne problem in this study. It is the function of Legendre polynomials with t parameter which can be called as scattering parameter. The extrapolation distance values are calculated for varying t parameters and varying secondary neutron numbers with the HN method. The numerical results are calculated by 40th approximation in order to get high precision results. The calculated extrapolation distance results are very convergence. Since there is no a similar study for the Milne problem with the Anlı-Güngör scattering in the literature, the interpolation technique is applied to the HN method results. Thus, the isotropic scattering results could be determined by t → 0 limit.\",\"PeriodicalId\":54305,\"journal\":{\"name\":\"Journal of Computational and Theoretical Transport\",\"volume\":\"51 1\",\"pages\":\"354 - 371\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational and Theoretical Transport\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1080/23324309.2022.2141780\",\"RegionNum\":4,\"RegionCategory\":\"工程技术\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Theoretical Transport","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/23324309.2022.2141780","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 2

摘要

摘要最近发展的Anlı-Güngör散射函数在本研究中被应用于Milne问题。它是具有t参数的勒让德多项式的函数，可以称为散射参数。用HN方法计算了不同t参数和不同二次中子数的外推距离值。为了得到高精度的数值结果，采用40次近似对数值结果进行了计算。计算的外推距离结果非常收敛。由于文献中没有关于Anlı-Güngör散射的Milne问题的类似研究，因此将插值技术应用于HN方法的结果。因此，各向同性散射结果可以由t来确定→ 0限制。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

The Milne Problem with the Anlı-Güngör Scattering

Abstract Recently developed the Anlı-Güngör scattering function is applied to the Milne problem in this study. It is the function of Legendre polynomials with t parameter which can be called as scattering parameter. The extrapolation distance values are calculated for varying t parameters and varying secondary neutron numbers with the HN method. The numerical results are calculated by 40th approximation in order to get high precision results. The calculated extrapolation distance results are very convergence. Since there is no a similar study for the Milne problem with the Anlı-Güngör scattering in the literature, the interpolation technique is applied to the HN method results. Thus, the isotropic scattering results could be determined by t → 0 limit.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Computational and Theoretical Transport Mathematics-Mathematical Physics

CiteScore

1.30

自引率

0.00%

发文量

期刊介绍： Emphasizing computational methods and theoretical studies, this unique journal invites articles on neutral-particle transport, kinetic theory, radiative transfer, charged-particle transport, and macroscopic transport phenomena. In addition, the journal encourages articles on uncertainty quantification related to these fields. Offering a range of information and research methodologies unavailable elsewhere, Journal of Computational and Theoretical Transport brings together closely related mathematical concepts and techniques to encourage a productive, interdisciplinary exchange of ideas.