To avoid the complicated and time-consuming computation of curved ray trajectories, a discontinuous finite element method based on discrete ordinate equation is extended to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Two cases of radiative heat tr
Analysis of transient radiative transfer in semitransparent graded index medium
โ Scribed by L.H. Liu; P.-f. Hsu
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 1013 KB
- Volume
- 105
- Category
- Article
- ISSN
- 0022-4073
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โฆ Synopsis
The formulation of transient radiative transfer in semitransparent graded index medium is outlined. The discontinuous finite element method is extended to solve the transient radiative transfer equation within semitransparent graded index medium both in the time-and the frequency-domain. Four numerical examples, including one-and two-dimensional geometries exposed to collimated pulse irradiation, are studied. The results show that the discontinuous finite element method is efficient, accurate and stable, and can be used for solving the transient radiative transfer problems in semitransparent graded index medium. Due to ray-trajectory bend resulting from the gradient of refractive index, the transient radiative transfer in semitransparent graded index medium exhibits distinctive behavior from that in uniform index medium. Therefore, the effect of graded index in the medium, when exists, has to be taken into consideration when the time-resolved radiation signals are used to infer the medium's optical and radiative property distributions.
๐ SIMILAR VOLUMES
Both Galerkin finite element method (GFEM) and least squares finite element method (LSFEM) are developed and their performances are compared for solving the radiative transfer equation of graded index medium in cylindrical coordinate system (RTEGC). The angular redistribution term of the RTEGC is di