Radiative transfer in spherical atmospheres.
Abstract
The authors discuss the construction of extended model atmospheres in radiative-convective and hydrostatic equilibrium for given luminosity and mass of the star and for prescribed net flux, of Teff, at a standard monochromatic optical depth. The transfer equation is in the form of a first-order partial integro-differential equation for the specific intensity. For the solution of the corresponding difference equation the authors use the finite-difference matrix to develop "integral operators" in curvilinear coordinates that are analogous to the integral operator of the formal solution of the transfer equation in plane geometry.
- Publication:
-
Methods in Radiative Transfer
- Pub Date:
- 1984
- Bibcode:
- 1984mrt..book..307K
- Keywords:
-
- Atmospheric Models;
- Computational Astrophysics;
- Finite Difference Theory;
- Nonequilibrium Thermodynamics;
- Radiative Transfer;
- Stellar Atmospheres;
- Integral Equations;
- Linearization;
- Matrices (Mathematics);
- Numerical Integration;
- Operators (Mathematics);
- Run Time (Computers);
- Stellar Luminosity;
- Astrophysics;
- Numerical Methods:Radiative Transfer;
- Radiative Transfer:Numerical Methods;
- Radiative Transfer:Stellar Atmospheres;
- Stellar Atmospheres:Radiative Transfer