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ISSN Online: 2377-424X

ISBN CD: 1-56700-226-9

ISBN Online: 1-56700-225-0

International Heat Transfer Conference 13
August, 13-18, 2006, Sydney, Australia

ASSESSMENT OF THE ACCURACY OF THE HYBRID FINITE ELEMENT / FINITE VOLUME METHOD FOR THE SOLUTION OF THE RADIATIVE TRANSFER EQUATION

Get access (open in a dialog) DOI: 10.1615/IHTC13.p4.70
12 pages

Résumé

A hybrid finite element / finite volume (HYDRA) method recently developed to solve the radiative transfer equation is extended using a high-order resolution scheme and more accurate basis functions. The spatial discretization is carried out using the finite volume method, and the angular discretization is implemented like in the finite element method. Three benchmark problems are solved and a systematic comparison with the discrete ordinates method (DOM) is reported. The results confirm that the CLAM scheme is more accurate than the STEP scheme, but both spatial and angular discretizations must be fine enough to guarantee accurate results. Otherwise, the STEP scheme may yield more accurate solutions, because of the opposite and compensating behaviour of spatial and angular discretization errors. Switching from bilinear to biquadratic shape functions improves the accuracy for a similar number of control angle elements, but little difference was observed if the total number of angular nodes remains the same. It was found that the accuracy of the DOM and HYDRA is similar, although the DOM assumes that the radiation intensity is constant over a solid angle, while the HYDRA method accounts for the continuous angular variation of the radiation intensity. Moreover, both the DOM and the HYDRA method are prone to ray effects.