{"title":"中子输运方程的W - N近似","authors":"L. Bourhrara","doi":"10.1080/00411450903192938","DOIUrl":null,"url":null,"abstract":"In this article, we propose new approximations of the neutron transport equation based on the transport variational formulations presented in Bourhrara (2004). These approximations are solutions of associated variational problems. We give an error estimate between the angular flux, exact solution of the transport equation, and the approximate solutions. We also derive variational formulations for even- and odd- parity fluxes as approximations of the neutron transport equation.","PeriodicalId":49420,"journal":{"name":"Transport Theory and Statistical Physics","volume":"1 1","pages":"195 - 227"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00411450903192938","citationCount":"1","resultStr":"{\"title\":\"W N Approximations Of Neutron Transport Equation\",\"authors\":\"L. Bourhrara\",\"doi\":\"10.1080/00411450903192938\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we propose new approximations of the neutron transport equation based on the transport variational formulations presented in Bourhrara (2004). These approximations are solutions of associated variational problems. We give an error estimate between the angular flux, exact solution of the transport equation, and the approximate solutions. We also derive variational formulations for even- and odd- parity fluxes as approximations of the neutron transport equation.\",\"PeriodicalId\":49420,\"journal\":{\"name\":\"Transport Theory and Statistical Physics\",\"volume\":\"1 1\",\"pages\":\"195 - 227\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/00411450903192938\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transport Theory and Statistical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1080/00411450903192938\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transport Theory and Statistical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00411450903192938","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this article, we propose new approximations of the neutron transport equation based on the transport variational formulations presented in Bourhrara (2004). These approximations are solutions of associated variational problems. We give an error estimate between the angular flux, exact solution of the transport equation, and the approximate solutions. We also derive variational formulations for even- and odd- parity fluxes as approximations of the neutron transport equation.
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