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Technical Briefs

Improved Discrete Ordinates Method for Ray Effects Mitigation

[+] Author and Article Information
Zhi-Feng Huang

Department of Mechanical and Aerospace Engineering, Florida Institute of Technology, Melbourne, FL 32901; State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, Hubei 430074, P. R. China

Huai-Chun Zhou

State Key Laboratory of Coal Combustion, Huazhong University of Science and Technology, Wuhan, Hubei 430074, P. R. China

Pei-feng Hsu1

Department of Mechanical and Aerospace Engineering, Florida Institute of Technology, Melbourne, FL 32901phsu@fit.edu

1

Corresponding author.

J. Heat Transfer 133(4), 044502 (Jan 10, 2011) (5 pages) doi:10.1115/1.4002096 History: Received November 26, 2009; Revised June 23, 2010; Published January 10, 2011; Online January 10, 2011

A new and improved method based on the concept of discrete ordinates scheme with infinitely small weights (DOS+ISW) is developed for modeling radiative heat transfer in three-dimensional participating media. To demonstrate the effectiveness of the method in mitigating ray effects, the ray effects caused by (1) abrupt step changes in the boundary conditions and (2) the stepwise variation of the medium emissive power are considered. In this work, angular quadrature sets with large number of discrete ordinate directions are chosen to mitigate ray effects while at the same time keeping the computational time increase to a minimum. Comparing with the conventional discrete ordinates method, the difference is that intensities in these directions are calculated by DOS+ISW method. Intensity with fine directional resolution calculated by this method is validated by comparing with that of reverse Monte Carlo method. The large number of discrete ordinate directions used in the new method becomes computationally prohibitive in the conventional discrete ordinates method due to the increased computer memory and computation time requirements.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Coordinate and calculation model for intensity in an arbitrary direction

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Figure 2

Heat flux with different methods of case 1a

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Figure 3

Heat flux along diagonal line with different methods of case 1b

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Figure 4

Heat flux with different methods of case 2a

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Figure 5

Heat flux with different methods of case 2b

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Figure 6

Calculation time by DOM and Improved DOM of case 1a

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