Radiative heat transfer in three-dimensional enclosures of complex geometry by using the discrete-ordinates method.

Details Radiative heat transfer in three-dimensional enclosures of complex geometry by using the discrete-ordinates method. Radiative heat transfer in three-dimensional enclosures of complex geometry by using the discrete-ordinates method.

Feb 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jqsrt..59..117s&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 59, issue 1-2, pp. 117-136

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Radiative Transfer: Numerical Methods

Scientific paper

This paper presents a new algorithm based on the discrete-ordinates method for the calculation of radiative transfer in three-dimensional, gray participating media of complex geometry. The key feature of the new technique is the utilization of general characteristic equations which replace the classical spatial differencing schemes. These equations result from the formal integration of the radiative transfer equation followed by an averaging procedure on the surfaces. This feature enables the use of tetrahedral grids which can be fitted to any geometrical enclosure. Furthermore, the new algorithm does not generate the numerical oscillations and negative intensities that can be encountered with the traditional method. The method uses the techniques of recognition of neighboring cells. It is directly compatible with the solution of the conservation equations by finite element techniques. This paper is a sequel to a previous paper recently published by the same authors (1996) on two-dimensional cases. An assessment of the method is given by comparing the results for simple cases with those obtained by other authors. Application is then made to more complicated cases. The method is proved to be general and accurate.

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