Relating Eddington factors to flux limiters.

Details Relating Eddington factors to flux limiters. Relating Eddington factors to flux limiters.

Feb 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984jqsrt..31..149l&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 31, issue 2, pp. 149-160

Physics

76

Radiative Transfer

Scientific paper

Variable Eddington factors and flux-limiters have been introduced in the P-1 and diffusion equations, respectively, to handle situations when the underlying intensity is too anisotropic for the unmodified theories to remain valied. The author presents a derivation of a relation between the two for which a new approach to the diffusion approximation is used. Algebraic expressions for Eddington factors satisfying the moment conditions are not satisfactory for closing the P-1 equations but, by using the derived relation, yield acceptable flux-limited diffusion theories.

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