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TECHNICAL PAPERS: Radiative Heat Transfer

An Adaptive Angular Quadrature for the Discrete Transfer Method Based on Error Estimation

[+] Author and Article Information
Hendrik K. Versteeg, Jonathan C. Henson, Weeratunge Malalasekera

Loughborough University, U.K.

J. Heat Transfer 125(2), 301-311 (Mar 21, 2003) (11 pages) doi:10.1115/1.1560148 History: Received March 28, 2002; Revised October 25, 2002; Online March 21, 2003
Copyright © 2003 by ASME
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References

Shah, N. G., 1979, “New Method for the Computation of Radiation Heat Transfer in Combustion Chambers,” Ph.D. thesis, Imperial College of Science and Technology, London.
Pessoa-Filho,  J. B., and Thynell,  S. T., 1997, “An Approximate Solution to the Radiative Transfer in Two-Dimensional Rectangular Enclosures,” ASME J. Heat Transfer, 119(4), pp. 738–745.
Lockwood, F. C., and Shah, N. G., 1981, “A New Radiation Solution Method for Incorporation in General Combustion Prediction Procedures,” Proc. Eighteenth Symp. (Int.) Combustion, The Combustion Institute, Pittsburgh, PA, pp. 1405–1413.
Cumber,  P. S., 1995, “Improvements to the Discrete Transfer Method of Calculating Radiative Heat Transfer,” Int. J. Heat Mass Transf., 38(12), pp. 2251–2258.
Andersen,  F. M. B., 1996, “Comparison of Numerical Quadrature Schemes Applied in the Method of Discrete Transfer,” J. Thermophys. Heat Transfer, 10(3), pp. 549–551.
Li,  B.-W., Tao,  W.-Q., and Liu,  R.-X., 1997, “Ray Effect in Ray Tracing for Radiative Heat Transfer,” Int. J. Heat Mass Transf., 40(14), pp. 3419–3426.
Bressloff, N. W., Moss, J. B., and Rubini, P. A., 1999, “Application of a New Weighting Set for the Discrete Transfer Method,” Proc. 3rd European Conf. Industrial Furnaces and Boilers, 18–21 April 1999, Lisbon, Portugal, pp. 208–215.
Cumber,  P. S., 2000, “Ray Effect Mitigation in Jet Fire Radiation Modelling,” Int. J. Heat Mass Transf., 43(6), pp. 935–943.
Versteeg,  H. K., Henson,  J. C., and Malalasekera,  W. M. G., 1999, “Approximation Errors in the Heat Flux Integral of the Discrete Transfer Method. Part 1: Transparent Media,” Numer. Heat Transfer, Part B, 36, Pt. 4, pp. 387–407.
Versteeg,  H. K., Henson,  J. C., and Malalasekera,  W. M. G., 1999, “Approximation Errors in the Heat Flux Integral of the Discrete Transfer Method. Part 2: Participating Media,” Numer. Heat Transfer, Part B, 36, Pt. 4, pp. 409–432.
Hsu,  P.-F., and Farmer,  J. T., 1995, “Benchmark Solutions of Radiative Heat Transfer Within Nonhomogeneous Participating Media Using the Monte Carlo and YIX Methods,” ASME HTD-315, 13, ASME, New York, pp. 29–36.

Figures

Grahic Jump Location
Mesh element (i,j) with centroid ray and additional rays for gradient estimation
Grahic Jump Location
(a) Schematic of idealized jet flame problem; (b) Hemisphere mesh and intensity contours for irradiated point (0, −0.1, −0.25); and (c) Hemisphere mesh of concentrated source; irradiated point (0, −0.1, −0.25). Inset gives full hemisphere, diagram gives region within dotted line at 12× magnification relative to inset.  
Grahic Jump Location
(a) Square source patch location relative to irradiated point in unit cube. Patch side length l=1/9; (b) Hemisphere mesh for square patch problem with starting mesh Nθ=11,Nϕ=44; (c) Hemisphere mesh for square patch problem with starting mesh Nθ=22,Nϕ=88; and (d) Hemisphere mesh for square patch problem with starting mesh Nθ=44,Nϕ=176.
Grahic Jump Location
(a) Hemisphere mesh for point A (0,0,−1/2); (b) Hemisphere mesh for point B (−4/9, 0,−1/2); and (c) Hemisphere mesh for point C (−4/9,−4/9,−1/2).    

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