{"title":"求解平面和球面几何辐射输运方程的数值方法","authors":"V.I. Gryn, A.I. Marchenko, V.V. Urban","doi":"10.1016/0041-5553(90)90060-6","DOIUrl":null,"url":null,"abstract":"<div><p>A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.</p></div>","PeriodicalId":101271,"journal":{"name":"USSR Computational Mathematics and Mathematical Physics","volume":"30 4","pages":"Pages 172-181"},"PeriodicalIF":0.0000,"publicationDate":"1990-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0041-5553(90)90060-6","citationCount":"0","resultStr":"{\"title\":\"A numerical method for solving the radiation transport equation in planar and spherical geometry\",\"authors\":\"V.I. Gryn, A.I. Marchenko, V.V. Urban\",\"doi\":\"10.1016/0041-5553(90)90060-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.</p></div>\",\"PeriodicalId\":101271,\"journal\":{\"name\":\"USSR Computational Mathematics and Mathematical Physics\",\"volume\":\"30 4\",\"pages\":\"Pages 172-181\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1990-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0041-5553(90)90060-6\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"USSR Computational Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0041555390900606\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"USSR Computational Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0041555390900606","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A numerical method for solving the radiation transport equation in planar and spherical geometry
A computational scheme is proposed for the numerical solution of the stationary radiation transport equation ignoring scattering. It is proved that, at large optical thicknesses, the cosines and absorption coefficients averaged over the one-sided radiation intensities cannot be used in the zeroth approximation and it is necessary to use their first approximation.
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