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

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 103, Issue 3, 2007, Pages 536-544

  Liu, L H ^a  

^a HARBIN INSTITUTE OF TECHNOLOGY   (China)

Author keywords

Graded index medium; Least squares Finite element method; Radiative heat transfer; Semitransparent medium

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; GRADIENT INDEX OPTICS; HEAT FLUX; LEAST SQUARES APPROXIMATIONS;

GRADED INDEX MEDIUM; LEAST-SQUARE FINITE ELEMENT METHOD; RADIATIVE HEAT TRANSFER;

HEAT RADIATION;

FINITE ELEMENT METHOD; GALERKIN METHOD; HEAT TRANSFER; LEAST SQUARES METHOD; RADIATIVE TRANSFER;

EID: 33750186043     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2006.07.005     Document Type: Article

References (14)

1. Born M., and Wolf E. Principles of optics (1999), Cambridge University Press, New York
2. Ben Abdallah P., and Le Dez V. Thermal field inside an absorbing-emitting semitransparent slab at radiative equilibrium with variable spatial refractive index. JQSRT 65 (2000) 595-608
3. Ben Abdallah P., and Le Dez V. Thermal emission of a two-dimensional rectangular cavity with spatial affine refractive index. JQSRT 66 (2000) 555-569
4. Ben Abdallah P., and Le Dez V. Thermal emission of a semitransparent slab with variable spatial refractive index. JQSRT 67 (2000) 185-198
5. Ben Abdallah P., Charette A., and Le Dez V. Influence of a spatial variation of the thermo-optical constants on the radiative transfer inside an absorbing-emitting semitransparent sphere. JQSRT 70 (2001) 341-365
6. Huang Y., Xia X.L., and Tan H.P. Radiative intensity solution and thermal emission analysis of a semitransparent medium layer with a sinusoidal refractive index. JQSRT 74 (2002) 217-233
7. Huang Y., Xia X.L., and Tan H.P. Temperature field of radiative equilibrium in a semitransparent slab with a linear refractive index and gray walls. JQSRT 74 (2002) 249-261
8. Liu L.H. Discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index. JQSRT 83 (2004) 223-228
9. Liu L.H., Zhang H.C., and Tan H.P. Monte Carlo discrete curved ray-tracing method for radiative transfer in an absorbing-emitting semitransparent slab with variable spatial refractive index. JQSRT 84 (2004) 357-362
10. Liu L.H. Finite volume method for radiation heat transfer in graded index medium. J Thermophys Heat Transfer 20 (2006) 59-66
11. Liu L.H., Zhang L., and Tan H.P. Finite element method for radiation heat transfer in multi-dimensional graded index medium. JQSRT 97 3 (2006) 436-445
12. Jiang B.N. The least-squares finite element method (1998), Springer, Heidelberg
13. Pontaza J.P., and Reddy J.N. Least-squares finite element formulations for one-dimensional radiative transfer. JQSRT 95 (2005) 387-406
14. Chai J.C., and Patankar S.V. Finite-volume method for radiation heat transfer. In: Minkowycz W.J., and Sparrow E.M. (Eds). Advances in numerical heat transfer vol. 2 (2000), Taylor & Francis, New York 109-141