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TECHNICAL NOTES

Discrete Ordinates Interpolation Method Applied to Irregular Three-Dimensional Geometries

[+] Author and Article Information
H. Cha, T.-H. Song

Department of Mechanical Engineering, KAIST Kusong-dong 373-1, Yusong-ku, Taejon, Korea

J. Heat Transfer 122(4), 823-827 (Jun 21, 2000) (5 pages) doi:10.1115/1.1315597 History: Received November 22, 1999; Revised June 21, 2000

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References

Modest, M. F., 1993, Radiative Heat Transfer, McGraw-Hill, New York.
Raithby,  G. D., and Chui,  E. H., 1990, “A Finite Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media,” ASME J. Heat Transfer, 112, pp. 415–423.
Chai,  J. C., Lee,  H. S., and Patankar,  S. V., 1994, “Finite Volume Method for Radiation Heat Transfer,” J. Thermophys. Heat Transfer, 8, No. 3, pp. 419–425.
Maruyama, S., and Aihara, T., 1995, “Radiative Heat Transfer of Arbitrary 3-D Participating Media with Non-participating Media by a Generalized Numerical Method REM,” Proc. 1st Int’l. Symposium on Radiation Transfer, Kusadasi, pp. 153–167.
Charette, A., Sakami, M., and Le Dez, V., 1997, “Analysis of Radiative Heat Transfer in Enclosures of Complex Geometry Using the Discrete Ordinates Method,” Proc. 2nd Int’l. Symposium on Radiation Transfer, Kusadasi, pp. 253–270.
Cheong,  K. B., and Song,  T. H., 1997, “An Alternative Discrete Ordinates Method With Interpolation and Source Differencing for Two-Dimensional Radiative Transfer Problems,” Numer. Heat Transfer, Part B, 32, pp. 107–125.
Cha, H., and Song, T. H., 1998, “Discrete Ordinates Interpolation Method for Solution of Radiative Transfer Equation in Arbitrary 2-D Geometry and Unstructured Grid System,” Proc. of 11th IHTC, Vol. 7, pp. 267–274.
Chai, J. C., Moder, J. P., and Parthasarathy, G., 1996, “Radiation Heat Transfer in Three-Dimensional Irregular Geometries,” 31st AIAA Thermophysics Conference, New Orleans, pp. 1–6.
Maruyama,  S., and Aihara,  T., 1997, “Radiation Heat Transfer of Arbitrary Three-Dimensional Absorbing, Emitting and Scattering Media and Specular and Diffuse Surfaces,” ASME J. Heat Transfer, 119, pp. 129–136.
Sakami,  M., Charette,  A., and Le Dez,  V., 1998, “Radiation Heat Transfer in Three-Dimensional Enclosures of Complex Geometry by Using the Discrete Ordinates Method,” J. Quant. Spectrosc. Radiat. Transf., 59, No. 1–2, pp. 117–136.
Seo,  S. H., and Kim,  T. K., 1998, “Study on Interpolation Schemes of the Discrete Ordinates Interpolation Method for Three-Dimensional Radiative Transfer With Nonorthogonal Grids,” ASME J. Heat Transfer, 120, pp. 1091–1094.
Kim, T. K., 1990, “Radiation and Combined Mode Heat Transfer Analyses in Absorbing, Emitting and Mie-Anisotropic Scattering Media Using the S-N Discrete Ordinates Method,” Ph.D. thesis, University of Minnesota, MN.

Figures

Grahic Jump Location
Schematic of showing interpolation point between the downstream grid point and the upstream element in three-dimensional space
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Notation of grids around the interpolation point IN in an arbitrary interpolation surface (pentagon here)
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Schematic of a hexahedral enclosure (unit; m)
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Wall heat fluxes in the hexahedral enclosure of Fig. 3
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Schematic of the structured grids in a cubic enclosure
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Wall heat fluxes when using the 11×11×11 structured grids
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Comparison of the two grid systems: (a) structured grids; (b) unstructured grids
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Wall heat fluxes in the structured and unstructured grid systems

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