Physics
Scientific paper
Feb 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jqsrt..64..339s&link_type=abstract
Journal of Quantitative Spectroscopy and Radiative Transfer, vol. 64, issue 4, pp. 339-351
Physics
2
Radiative Transfer: Numerical Methods
Scientific paper
A new method for the solution of the radiative transfer equation in spherical media based on a modified discrete ordinates method is developed. In this method an expression of the angular streaming derivative term appearing in the spherical radiative transfer equation is derived from the expansion of the radiative intensity on the basis of Legendre polynomials. The set of the resulting differential equations are solved using the fourth-order Runge-Kutta method. First, the authors show that this method is more accurate than finite differences applied to the streaming derivative term. The effects of the optical depth and the shape of the scattering phase function on the temperature field in the medium are then examined for spherical gray media subject to pure radiative transfer.
Sghaier T.
Sifaoui M. S.
Soufiani Anouar
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