Modeling of radiative transfer using multiple spherical harmonics approximations.
Abstract
The radiative transfer equation has been modeled by using hybrid double and octuple spherical harmonics approximations for one-dimensional plane-parallel and two-dimensional cylindrical geometries, respectively. 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 and the results are compared with those available in the literature.
- Publication:
-
Journal of Quantitative Spectroscopy and Radiative Transfer
- Pub Date:
- June 1988
- DOI:
- 10.1016/0022-4073(88)90090-8
- Bibcode:
- 1988JQSRT..39..445M
- Keywords:
-
- High Temperature;
- Radiative Heat Transfer;
- Spherical Harmonics;
- Anisotropy;
- Delta Function;
- Eddington Approximation;
- Heat Flux;
- Optical Thickness;
- Partial Differential Equations;
- Scattering Functions;
- Thermodynamics and Statistical Physics;
- Radiative Transfer