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TECHNICAL PAPERS: Radiative Heat Transfer

Reduction of False Scattering of the Discrete Ordinates Method

[+] Author and Article Information
Hong-Shun Li, Gilles Flamant

Institut de Science et de Génie des Matériaux et Procédés, IMP-CNRS, BP 5-Odeillo, 66125 Font-Romeau Cédex, France

Ji-Dong Lu

National Laboratory of Coal Combustion, Huazhong University of Science & Technology, Wuhan 430074, P.R. China

J. Heat Transfer 124(5), 837-844 (Sep 11, 2002) (8 pages) doi:10.1115/1.1495518 History: Received October 06, 2000; Revised May 09, 2002; Online September 11, 2002
Copyright © 2002 by ASME
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References

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Fiveland, W. A., 1991, “The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering,” in Fundamental of Radiation Heat Transfer, ASME HTD-Vol. 160, ASME, New York, pp. 89–96.
El Wakil, N., and Sacadura, J. F., 1992, “Some Improvements of the Discrete Ordinates Method for the Solution of the Radiative Transport Equation in Multidimensional Anisotropically Scattering Media,” in Developments of Radiative Heat Transfer, ASME HTD-Vol. 203, ASME, New York, pp. 119–127.
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Li,  B.-W., Yao,  Q., Cao,  X.-Y., and Cen,  K.-F., 1998, “A New Discrete Ordinate Quadrature Scheme for Three-Dimensional Radiative Heat Transfer,” ASME J. Heat Transfer , 120(2), pp. 514–518.
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Figures

Grahic Jump Location
Test problem and the method for interpolation
Grahic Jump Location
Dimensionless heat flux distribution on the bottom wall for the example problem 3 in Ref. 18, obtained with — — — LSO S2 and the step scheme, — LSO S4 and the step scheme, — – LSO S2 and the DRM, –– LSO S4 and the DRM, ▪ numerically exact solution of the discrete ordinate equations of LSO S4
Grahic Jump Location
Dimensionless heat flux distribution on the top wall for test problem 4: (a) using LSO S4 approximation and 101×101 grid points; and (b) using LSO S8 approximation and 101×101 grid points.    obtained with the DRM, — obtained with the step scheme, • physically exact solution 22
Grahic Jump Location
Dimensionless heat flux in y-direction along the centerline normal to the bottom wall for test problem 4: (a) using LSO S4 approximation and 101×101 grid points; and (b) using LSO S8 approximation and 101×101 grid points.    obtained with the DRM, — obtained with the step scheme.
Grahic Jump Location
Analysis on the ray effects in Figs. 4(a) and 5(a)
Grahic Jump Location
Dimensionless heat flux on the right wall for test problem 5: (a) using the DOIM 9 and a 50×50 grid; (b) using the step scheme and a 50×50 grid (— using LSH S10 quadrature set 3; - - - - - using LSO S8 quadrature set; • exact solution (using the Monte Carlo Method)

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