The Ray-Integration Technique in Spherical Geometry.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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A method of solution for the equation of radiative transfer for a spherical, grey atmosphere, steady state plasma in radiative equilibrium is developed. The method is called the ray integration technique and derives from the same method of solution done in cylinder geometry at Los Alamos National Laboratory. The total and net radiation flux, source function opacity and moments of intensity are calculated as a function of radius. The solution to the zeroth and first moment equations are also provided. The conditions of the grey atmosphere problem and the general nature of radiation transport in spherical geometry are developed and the ray-integration technique, as applied to the problem, is presented. Numerical results are calculated for a variety of radial mesh and opacities. These results are provided in graphic form and compared against theoretically predicted behavior. The ray integration technique developed in this thesis produces numerical results which are in reasonable agreement with theoretical predicted results.
- Plasma Physics and Magnetohydrodynamics