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Meshless method for solving multidimensional radiative transfer in graded index medium
Authors:Cheng-An Wang  Hamou SadatVital Le Dez
Affiliation:Institut PPRIME – CNRS – Université de Poitiers – ENSMA, Département Fluides, Thermique, Combustion, Campus Sud 40, avenue du recteur Pineau, 86022 Poitiers Cedex, France
Abstract:A diffuse approximation meshless (DAM) method is presented to solve the radiative transfer equation (RTE) in a graded index medium. The meshless method can solve the equation directly without using an upwind scheme. Absorbing, emitting and scattering media with different kinds of graded indices in 1D and 2D geometries are tested. Prediction results obtained by the proposed method are compared with different references in order to illustrate the performance of this solution method.
Keywords:Meshless method   Radiative transfer   Graded index medium   Discrete ordinates
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