American Nuclear Society
Home

Home / Store / Journals / Electronic Articles / Nuclear Science and Engineering / Volume 105 / Number 1 / Pages 88-104

Test Problems in Radiative Transfer Calculations

A. I. Shestakov, D. S. Kershaw, G. B. Zimmerman

Nuclear Science and Engineering / Volume 105 / Number 1 / Pages 88-104

May 1990

Format:

Price:$30.00
Member Price:$27.00
Member Savings:$3.00

Several test problems are presented for evaluating the radiation diffusion equations. For spatial transport schemes, one-dimensional problems with known analytic solutions are tested on two-dimensional domains with nonorthogonal meshes. It is shown that a scheme based on the finite element method is insensitive to grid distortions when the diffusion term is dominant. Other test problems deal with Compton scattering, specifically the one-dimensional Fokker-Planck equation coupled to an equation describing the change in electron temperature. The test problems model the evolution of a Planckian radiation field as it equilibrates with the electrons. In all cases, the numerical results are compared with the analytic ones.

 
 
 
Questions or comments about the site? Contact the ANS Webmaster.
advertisement