Test problems in radiative transfer calculations
Several test problems are presented for evaluating the radiation diffusion equations. For spatial transport schemes, 1-D problems with known analytic solutions are tested on 2-D domains with non-orthogonal 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 1-D 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. 15 refs., 9 figs., 7 tabs.
- Research Organization:
- Lawrence Livermore National Lab., Livermore, CA (USA)
- Sponsoring Organization:
- DOE/DP
- DOE Contract Number:
- W-7405-ENG-48
- OSTI ID:
- 5009774
- Report Number(s):
- UCRL-99450; CONF-890408-17; ON: DE90002887
- Resource Relation:
- Conference: Topical meeting on advances in nuclear engineering computation and radiation shielding, Santa Fe, NM (USA), 9-13 Apr 1989
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
RADIATION TRANSPORT
CALCULATION METHODS
BOSE-EINSTEIN STATISTICS
DIFFUSION
ENERGY DENSITY
EVALUATION
FINITE ELEMENT METHOD
FOKKER-PLANCK EQUATION
SHIELDING
TESTING
DIFFERENTIAL EQUATIONS
EQUATIONS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
654001* - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments