A Comparison of Radiation Transport Methods in Axisymmetric Geometries.
Abstract
The radiative transfer equation with a fixed source and fixed absorption is studied in axisymmetric geometries. A comparison of solutions for several model problems is presented using two different numerical schemes. The first scheme uses the radiation diffusion approximation with flux-limiting; the second, a multi-directional ray trace. The underlying spatial grid over which the solutions are calculated is a distorted set of quadrilaterals for application to two dimensional, Lagrangian, radiation-hydrodynamic codes. The results of the numerical solutions indicate that both schemes are accurate in radiating, optically thick regions. In source-free, purely absorbing regions, the accuracy decreases, but much more so for the diffusion approach than the ray tracing one. The major advantages of the latter approach over the former are; (i) the accuracy can be easily improved by increasing the number of rays for example, and (ii) computation time can be shorter for multi frequency calculations with more than about 10 frequencies.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 06, 1986
- Accession Number
- ADA173966
Entities
People
- John L. Giuliani Jr.
Organizations
- United States Naval Research Laboratory