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A HYBRID FINITE VOLUME / FINITE ELEMENT DISCRETIZATION METHOD FOR THE SOLUTION OF THE RADIATIVE HEAT TRANSFER EQUATION

Pedro Jorge Coelho

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Abstract

A new method based on a hydrid finite volume / finite element discretization of the radiative transfer equation is described and applied to multidimensional rectangular enclosures with grey absorbing-emitting-scattering media. The spatial discretization is carried out using the finite volume method and the angular discretization is performed using basis functions commonly employed in the finite element method. The predicted results for two and three-dimensional enclosures are compared with analytical solutions and show that the numerical solution converges to the analytical one as the discretization is refined.

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What this paper is about

A new method based on a hydrid finite volume / finite element discretization of the radiative transfer equation is described and applied to multidimensional rectangular enclosures with grey absorbing-emitting-scattering media. The spatial discretization is carried out using the finite volume method and the angular discretization is performed using basis functions commonly employed in the finite element method. The predicted results for two and three-dimensional enclosures are compared with analytical solutions and show that the numerical solution converges to the analytical one as the discretization is refined.

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Available abstract

A new method based on a hydrid finite volume / finite element discretization of the radiative transfer equation is described and applied to multidimensional rectangular enclosures with grey absorbing-emitting-scattering media. The spatial discretization is carried out using the finite volume method and the angular discretization is performed using basis functions commonly employed in the finite element method. The predicted results for two and three-dimensional enclosures are compared with analytical solutions and show that the numerical solution converges to the analytical one as the discretization is refined.

Key concepts: Discretization, Finite element method, Finite volume method, Radiative transfer, Discretization of continuous features, Mathematical analysis, Mixed finite element method, Mathematics

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A HYBRID FINITE VOLUME / FINITE ELEMENT DISCRETIZATION METHOD FOR THE SOLUTION OF THE RADIATIVE HEAT TRANSFER EQUATION — Research Paper | ScholarLens