{"title":"A Space-angle Discontinuous Galerkin Method for One-Dimensional Cylindrical Radiative Transfer Equation with Angular Decomposition","authors":"H. Wang, R. Abedi, S. Mudaliar","doi":"10.23919/USNC-URSINRSM51531.2021.9336476","DOIUrl":null,"url":null,"abstract":"The radiative transfer equation (RTE) for one-dimensional cylindrical 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. A special iterative procedure is used that solves a succession of sub-domains created by angular decomposition (AD). The problem is formulated for nonzero phase functions. The angular interaction terms are not explicitly added to the system solution matrix. A few benchmark problems are conducted to study the performance of the method.","PeriodicalId":180982,"journal":{"name":"2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)","volume":"79 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.23919/USNC-URSINRSM51531.2021.9336476","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The radiative transfer equation (RTE) for one-dimensional cylindrical 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. A special iterative procedure is used that solves a succession of sub-domains created by angular decomposition (AD). The problem is formulated for nonzero phase functions. The angular interaction terms are not explicitly added to the system solution matrix. A few benchmark problems are conducted to study the performance of the method.