一维圆柱辐射传递方程角分解的空间角间断伽辽金法

2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM) Pub Date : 2021-01-04 DOI:10.23919/USNC-URSINRSM51531.2021.9336476

H. Wang, R. Abedi, S. Mudaliar

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引用次数: 0

摘要

采用不连续伽辽金(DG)有限元法求解了包含散射、吸收和辐射的一维圆柱问题的辐射传递方程(RTE)。用DG方法对空间方向和角度方向进行离散化。采用一种特殊的迭代方法求解由角分解(AD)产生的一系列子域。该问题是针对非零相函数提出的。角相互作用项没有显式地添加到系统解矩阵中。通过几个基准问题对该方法的性能进行了研究。

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A Space-angle Discontinuous Galerkin Method for One-Dimensional Cylindrical Radiative Transfer Equation with Angular Decomposition

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.

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2021 United States National Committee of URSI National Radio Science Meeting (USNC-URSI NRSM)

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