Modeling f radiative transfer using multiple spherical harmonics approximations

Details Modeling f radiative transfer using multiple spherical harmonics approximations Modeling f radiative transfer using multiple spherical harmonics approximations

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988jqsrt..39..445m&link_type=abstract

Journal of Quantitative Spectroscopy and Radiative Transfer (ISSN 0022-4073), vol. 39, June 1988, p. 445-461. NSF-supported rese

Computer Science

5

High Temperature, Radiative Heat Transfer, Spherical Harmonics, Anisotropy, Delta Function, Eddington Approximation, Heat Flux, Optical Thickness, Partial Differential Equations, Scattering Functions

Scientific paper

The radiative-transfer equation has been modeled using hybrid double and octuple spherical-harmonics approximations for one-dimensional plane-parallel and two-dimensional cylindrical geometries, respectively. The governing equations for these approximations are systems of first-order partial differential equations. In the formulation for the one-dimensional case, a linearly anisotropic scattering phase function is used, whereas, for the two-dimensional case, a delta-Eddington phase function is employed. Emitting and diffusely reflecting boundaries are considered. Numerical solutions of the equations for the plane-parallel geometry are obtained using a software package DISPL2 (Leaf and Minkoff 1984), and the results are compared with those available in the literature.

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