Modified discrete-ordinates solution of radiative transfer in three-dimensional rectangular enclosures.

Computer Science

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Radiative Transfer: Numerical Methods

Scientific paper

A modified discrete-ordinates solution procedure is developed for radiative transfer in a three-dimensional rectangular enclosure which contains an absorbing, emitting and isotropically scattering medium. Uniform and non-uniform diffuse loadings on the top boundary are considered. The intensity is broken into direct and diffuse components. The direct component is determined analytically, and the diffuse transport equation is solved numerically by the conventional discrete-ordinates procedure. Numerical results for quarter, half and full loadings on a cubic enclosure are presented. The standard discrete-ordinates solution exhibits anomalies in the flux leaving the bottom which are attributed to "ray effects". Large errors are observed when the non-uniform loading cases. The modified discrete-ordinates method significantly improves the accuracy and corrects the anomalies in the bottom flux.

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