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Résolution numérique des transferts par rayonnement et conduction au sein d'un milieu semi-transparent pour une géométrie 3D de forme complexe

Abstract : This work deals with the numerical solution of coupled radiative and conductive heat transfer in participating media in complex 3D geometries. Thermal radiation is simulated by a numerical code developed during this thesis. This code solves the radiative transfer equation (RTE) by a modified finite volume method (FVM) with a cell-vertex formulation applied to unstructured tetrahedral meshes. It uses a closure relation based on an exponential scheme, a marching order map and an innovative matrix solution for the FVM applied to the RTE. The model is applied to absorbing-emitting, grey or non-grey media bounded by black or opaque walls with diffuse reflection. The mesh used for the radiation-conduction coupling is the one used by the finite element code for the conduction. The validation of the radiative code and the coupling are carried out through several test cases taken from the literature. Grey and isothermal media with different geometries are considered, and the effects of the spatial and angular discretizations are observed through a sensitivity study. Three closure schemes have been studied on a transparent medium in order to show their influence on the accuracy and false scattering. Studies of coupled heat transfer are carried out on radiative equilibrium problems and coupled radiation-conduction problems in steady or transient states with the dimensionless equations. Finally a non-grey medium such glass is also studied, considering conduction and radiation in steady state with a spectral band model for radiation
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  • HAL Id : tel-01746302, version 1

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Lionel Trovalet. Résolution numérique des transferts par rayonnement et conduction au sein d'un milieu semi-transparent pour une géométrie 3D de forme complexe. Autre [cond-mat.other]. Université Henri Poincaré - Nancy 1, 2011. Français. ⟨NNT : 2011NAN10142⟩. ⟨tel-01746302⟩

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