{"title":"用HN方法求解线性三重各向异性散射的Milne问题","authors":"D. Gülderen, D. C. Sahni, R. G. Türeci, A. Aydιn","doi":"10.1080/23324309.2022.2141779","DOIUrl":null,"url":null,"abstract":"Abstract The Milne problem is investigated for the linear-triplet anisotropic scattering with HN method in this study. The scattering function is the linear combination of linear anisotropic scattering and triplet anisotropic scattering in Mika’s scattering. The positivity condition is needed to find physical results since the scattering function defines the scattering probabilities. It defines the relationship between the scattering coefficients. HN method is based on using the Case method. Therefore, properties of the Case method should be derived for the scattering function. The linear anisotropic scattering is the dominant scattering according to the calculated results.","PeriodicalId":54305,"journal":{"name":"Journal of Computational and Theoretical Transport","volume":"51 1","pages":"329 - 353"},"PeriodicalIF":0.7000,"publicationDate":"2022-09-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Milne Problem for Linear-Triplet Anisotropic Scattering with HN Method\",\"authors\":\"D. Gülderen, D. C. Sahni, R. G. Türeci, A. Aydιn\",\"doi\":\"10.1080/23324309.2022.2141779\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract The Milne problem is investigated for the linear-triplet anisotropic scattering with HN method in this study. The scattering function is the linear combination of linear anisotropic scattering and triplet anisotropic scattering in Mika’s scattering. The positivity condition is needed to find physical results since the scattering function defines the scattering probabilities. It defines the relationship between the scattering coefficients. HN method is based on using the Case method. Therefore, properties of the Case method should be derived for the scattering function. The linear anisotropic scattering is the dominant scattering according to the calculated results.\",\"PeriodicalId\":54305,\"journal\":{\"name\":\"Journal of Computational and Theoretical Transport\",\"volume\":\"51 1\",\"pages\":\"329 - 353\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2022-09-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Computational and Theoretical Transport\",\"FirstCategoryId\":\"5\",\"ListUrlMain\":\"https://doi.org/10.1080/23324309.2022.2141779\",\"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/10.1080/23324309.2022.2141779","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}
The Milne Problem for Linear-Triplet Anisotropic Scattering with HN Method
Abstract The Milne problem is investigated for the linear-triplet anisotropic scattering with HN method in this study. The scattering function is the linear combination of linear anisotropic scattering and triplet anisotropic scattering in Mika’s scattering. The positivity condition is needed to find physical results since the scattering function defines the scattering probabilities. It defines the relationship between the scattering coefficients. HN method is based on using the Case method. Therefore, properties of the Case method should be derived for the scattering function. The linear anisotropic scattering is the dominant scattering according to the calculated results.
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.