Spatial differencing of the discrete ordinate equations in optically thick media

Details Spatial differencing of the discrete ordinate equations in optically thick media Spatial differencing of the discrete ordinate equations in optically thick media

May 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985jqsrt..33..437b&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 33, May 1985, p. 437-452. NSF-supported resea

Physics

3

Finite Difference Theory, Mean Free Path, Optical Thickness, Photons, Radiative Transfer, Thermal Radiation, Ficks Equation, Interpolation, Light Speed, Method Of Characteristics

Scientific paper

A modification is presented to the linear characteristic method used to finite difference the discrete ordinate (S-N) equations. This modification is designed to produce the correct diffusion limit in the radiative transfer context in the limit of optically thick mesh cells. Numerical tests suggest that this finite difference method is a practical calculational scheme for radiative transfer problems.

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