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False Scattering and Ray Effect in Spherical Harmonics Approximation for the Radiative Transfer Equation
ZHANG Hao-chun, YI Hong-liang, TAN He-ping
CHINESE JOURNAL OF COMPUTATIONAL PHYSICS    2006, 23 (2): 237-242.  
Abstract328)      PDF (391KB)(1115)      
The false scattering and ray effect in spherical harmonics method, including P1 and P3 approximation, is studied. Physical models of parallel and oblique laser incidence into two-dimensional gray media are constructed and the temperature profile within the medium is investigated to examine the false scattering. The ray effect is analyzed by the net radiative flux in the boundary. Simulation results show that both false scattering and ray effect exist in the spherical harmonics method, and the ray effect is mitigated higher in P3 than that in P1 approximation. In addition, the ray effect in the spherical harmonics approximation mitigates with increasing optical thickness within gray medium.
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