TITLE:
3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries
AUTHORS:
D. Le Hardy, Y. Favennec, G. Domingues, B. Rousseau
KEYWORDS:
Radiative Transfer Equation, Heat Conduction Equation, Finite Element Methods, SUPG, DOM, Specular Reflection, Complex Geometry
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.4 No.8,
August
15,
2016
ABSTRACT: 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.