Least-squares finite element method for radiation heat transfer in graded index medium

✍ Scribed by L.H. Liu

• Publisher: Elsevier Science
• Year: 2007
• Tongue: English
• Weight: 180 KB
• Volume: 103
• Category: Article
• ISSN: 0022-4073
• DOI: 10.1016/j.jqsrt.2006.07.005

✦ Synopsis

To avoid the complicated and time-consuming computation of curved ray trajectories, a least-squares finite element method based on discrete ordinate equation is extended to solve the radiative transfer problem in a multi-dimensional semitransparent graded index medium. Four cases of radiative heat transfer are examined to verify this least-squares finite element method. Linear and nonlinear graded index are considered. The predicted dimensionless net radiative heat fluxes are determined by the least-squares finite element method and compared with the results obtained by other methods. The results show that the least-squares finite element method is stable and has a good accuracy in solving the multi-dimensional radiative transfer problem in a semitransparent graded index medium, while the Galerkin finite element method sometimes suffers from nonphysical oscillations.