Monte Carlo and deterministic methods in the study of radiative transfer
Abstract
A comparison of analytical techniques for studying radiative transfer is presented in which the relative advantages of Monte Carlo and deterministic approaches are emphasized. The base model for radiative transfer is reviewed, and the implicit symbolic Monte Carlo (ISMC) method is introduced in which a defined temperature value is incorporated into the second term of the transfer equation. The deterministic methods addressed include the Rosseland scattering approximation, multigroup scattering equations, and multigroup transport equations. Solving radiative transfer equations numerically is shown to necessitate mathematical treatment at each level of discretization in terms of frequency, temporal and spatial discretization, and spectral resolution. The ISMC and the Rosseland scattering equation are shown to be useful as a coupled approach to the study of radiative transfer.
- Publication:
-
CHOCS
- Pub Date:
- December 1991
- Bibcode:
- 1991CHOCS...3...25N
- Keywords:
-
- Computerized Simulation;
- Laser Target Interactions;
- Monte Carlo Method;
- Radiative Heat Transfer;
- High Temperature Environments;
- Hydrodynamics;
- Thermodynamics;
- Thermodynamics and Statistical Physics