3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries - Journal of Applied Mathematics and Physics

JAMP > Vol.4 No.8, August 2016

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

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DOI: 10.4236/jamp.2016.48155 1,607 Downloads 2,653 Views Citations

Author(s)

D. Le Hardy, Y. Favennec, G. Domingues, B. Rousseau

Affiliation(s)

Université de Nantes, Nantes, France.

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.

KEYWORDS

Radiative Transfer Equation, Heat Conduction Equation, Finite Element Methods, SUPG, DOM, Specular Reflection, Complex Geometry

Share and Cite:

Hardy, D. , Favennec, Y. , Domingues, G. and Rousseau, B. (2016) 3D Radiative Transfer Equation Coupled with Heat Conduction Equation with Realistic Boundary Conditions Applied on Complex Geometries. Journal of Applied Mathematics and Physics, 4, 1488-1493. doi: 10.4236/jamp.2016.48155.

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