Finite element formuation of the discrete ordinates method for coupled conductive and radiative heat transfer in bidimensional complex geometries

摘要

This article presents results obtained with the even partity form of the radiative heat transfer equation and the discrete ordinates method associated with the Galerkin finite elements (EP-FE-DOM). The coupled conductive and radiative heat transfer is considered in any bidimensional absorbing, emitting and isotropically scattering media, enclosed by gray walls. All conventional flux methods suffer from the difficulty in application to geometries that stray from rectangular or cylindrical. The discrete-ordinates associated with finite elements correct this defect easily, due to the natural implementation of unstructured grids in the method. However, though this method can fit any kind of domain, as far as we know, no applications and evaluations have been published for complex geometries. After the validation on a simple configuration of literature is realized, we show the performances of the method on irregular geometries through comparisons with others approaches to the DOM.