{"title":"A Discontinuous Galerkin Method for the Solution of Two Dimensional Axisymmetric Radiative Transfer Problem","authors":"H. Wang, R. Abedi, S. Mudaliar","doi":"10.1109/USNC-URSI.2019.8861844","DOIUrl":null,"url":null,"abstract":"The radiative transfer equation (RTE) for an axisymmetric problem involving scattering, absorption and radiation is solved using the discontinuous Galerkin (DG) finite element method (FEM). Both space and angle directions are discretized by the DG method. The problem is formulated for nonzero phase function. The method is validated against exact solutions. A few benchmark problems are conducted. The performance of the method is also studied for the solution of problems with discontinuous solution.","PeriodicalId":383603,"journal":{"name":"2019 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium)","volume":"158 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 USNC-URSI Radio Science Meeting (Joint with AP-S Symposium)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/USNC-URSI.2019.8861844","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
The radiative transfer equation (RTE) for an axisymmetric problem involving scattering, absorption and radiation is solved using the discontinuous Galerkin (DG) finite element method (FEM). Both space and angle directions are discretized by the DG method. The problem is formulated for nonzero phase function. The method is validated against exact solutions. A few benchmark problems are conducted. The performance of the method is also studied for the solution of problems with discontinuous solution.
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