{"title":"Half-Space Albedo Problem with Pure-Triplet Scattering and Legendre Polynomial Outgoing Flux","authors":"A. Z. Bozkır, D. C. Sahni, R. G. Türeci","doi":"10.1080/23324309.2022.2150645","DOIUrl":null,"url":null,"abstract":"Abstract In this study, the albedo problem is investigated with three different methods, method, method, and SVD method. The first two methods are used for the comparison of the SVD method results. Therefore, the main aim of this study is to study of the SVD method for albedo problem. The recently improved method is based on usage of the transformation of the integral part to a sum in the one-speed, source free, and homogeneous medium neutron transport equation. This sum term is written with two different ways. One of them is to use midpoint approximation and the second is to use linear approximation. The numerical results of the SVD method are compared with both the method and the method results. Another different situation of this study is to use a series of the Legendre polynomials for the outgoing flux over the surface.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"51 1","pages":"393 - 417"},"PeriodicalIF":0.7000,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational and Theoretical Transport","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/23324309.2022.2150645","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: 0
Abstract
Abstract In this study, the albedo problem is investigated with three different methods, method, method, and SVD method. The first two methods are used for the comparison of the SVD method results. Therefore, the main aim of this study is to study of the SVD method for albedo problem. The recently improved method is based on usage of the transformation of the integral part to a sum in the one-speed, source free, and homogeneous medium neutron transport equation. This sum term is written with two different ways. One of them is to use midpoint approximation and the second is to use linear approximation. The numerical results of the SVD method are compared with both the method and the method results. Another different situation of this study is to use a series of the Legendre polynomials for the outgoing flux over the surface.
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.
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