离散化
间断伽辽金法
有限体积法
笛卡尔坐标系
辐射传输
数学
伽辽金法
应用数学
背景(考古学)
数学分析
对流扩散方程
逆风格式
有限元法
物理
几何学
机械
量子力学
生物
热力学
古生物学
作者
Vincent Heningburg,Cory D. Hauck
出处
期刊:Multiscale Modeling & Simulation
[Society for Industrial and Applied Mathematics]
日期:2021-01-01
卷期号:19 (1): 1-24
被引量:5
摘要
We propose a hybrid spatial discretization for the radiative transport equation that combines a second-order discontinuous Galerkin (DG) method and a second-order finite-volume (FV) method. The strategy relies on a simple operator splitting that has been used previously to combine different angular discretizations. Unlike standard FV methods with upwind fluxes, the hybrid approach is able to accurately simulate problems in scattering dominated regimes. However, it requires less memory and yields a faster computational time than a uniform DG discretization. In addition, the underlying splitting allows naturally for hybridization in both space and angle. Numerical results are given to demonstrate the efficiency of the hybrid approach in the context of discrete ordinate angular discretizations and Cartesian spatial grids.
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