3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries  

作　　者：D. Le Hardy Y. Favennec G. Domingues B. Rousseau D. Le Hardy;Y. Favennec;G. Domingues;B. Rousseau(Université de Nantes, Nantes, France)

机构地区：[1]Université de Nantes, Nantes, France

出　　处：《Journal of Applied Mathematics and Physics》2016年第8期1488-1493,共6页应用数学与应用物理（英文）

摘　　要：This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem is considered steady-state but solved at each time iteration of the transient conduction problem. The discrete ordinate method along with the decentered streamline-upwind Petrov-Galerkin method is developed. Since specular reflection is considered on borders, a very accurate algorithm has been developed for calculation of partition ratio coefficients of incident solid angles to the several reflected solid angles. The developed algorithms are tested on a paraboloid-shaped geometry used for example on concentrated solar power technologies.This paper presents the solution of coupled radiative transfer equation with heat conduction equation in complex three-dimensional geometries. Due to very different time scales for both physics, the radiative problem is considered steady-state but solved at each time iteration of the transient conduction problem. The discrete ordinate method along with the decentered streamline-upwind Petrov-Galerkin method is developed. Since specular reflection is considered on borders, a very accurate algorithm has been developed for calculation of partition ratio coefficients of incident solid angles to the several reflected solid angles. The developed algorithms are tested on a paraboloid-shaped geometry used for example on concentrated solar power technologies.

关 键 词：Radiative Transfer Equation Heat Conduction Equation Finite Element Methods SUPG DOM Specular Reflection Complex Geometry 

分 类 号：O17[理学—数学]