Distributions of ratios of energy scattered or reflected (DRESOR) method is a very efficient tool used to calculate radiative intensity with high directional resolution, which is very useful for inverse analysis. The method is based on the Monte Carlo (MC) method and it can solve radiative problems of great complexity. Unfortunately, it suffers from the drawbacks of the Monte Carlo method, which are large computation time and unavoidable statistical errors. In this work, an equation solving method is applied to calculate DRESOR values instead of using the Monte Carlo sampling in the DRESOR method. The equation solving method obtains very accurate results in much shorter computation time than when using the Monte Carlo method. Radiative intensity with high directional resolution calculated by these two kinds of DRESOR method is compared with that of the reverse Monte Carlo (RMC) method. The equation solving DRESOR (ES-DRESOR) method has better accuracy and much better time efficiency than the Monte Carlo based DRESOR (original DRESOR) method. The ES-DRESOR method shows a distinct advantage for calculating radiative intensity with high directional resolution compared with the reverse Monte Carlo method and the discrete ordinates method (DOM). Heat flux comparisons are also given and the ES-DRESOR method shows very good accuracy.
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September 2014
This article was originally published in
Journal of Heat Transfer
Research-Article
Equation Solving DRESOR Method for Radiative Transfer in Three-Dimensional Isotropically Scattering Media
Zhifeng Huang,
Zhifeng Huang
School of Power and Mechanical
Engineering,
Engineering,
Wuhan University
,Wuhan, Hubei 430072
, China
State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology
,Wuhan, Hubei 430074
, China
Search for other works by this author on:
Huaichun Zhou,
Huaichun Zhou
1
Key Laboratory for Thermal Science
and Power Engineering of
Ministry of Education,
e-mail: hczh@mail.tsinghua.edu.cn
and Power Engineering of
Ministry of Education,
Tsinghua University
,Beijing 10084
, China
e-mail: hczh@mail.tsinghua.edu.cn
1Corresponding author.
Search for other works by this author on:
Guihua Wang,
Guihua Wang
State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology
,Wuhan, Hubei 430074
, China
Search for other works by this author on:
Pei-feng Hsu
Pei-feng Hsu
1
Mechanical and Aerospace
Engineering Department,
Engineering Department,
Florida Institute of Technology
,Melbourne, FL 32901
School of Mechanical Engineering,
e-mail: phsu@fit.edu
Shanghai Dianji University
,Shanghai 201306
, China
e-mail: phsu@fit.edu
1Corresponding author.
Search for other works by this author on:
Zhifeng Huang
School of Power and Mechanical
Engineering,
Engineering,
Wuhan University
,Wuhan, Hubei 430072
, China
State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology
,Wuhan, Hubei 430074
, China
Huaichun Zhou
Key Laboratory for Thermal Science
and Power Engineering of
Ministry of Education,
e-mail: hczh@mail.tsinghua.edu.cn
and Power Engineering of
Ministry of Education,
Tsinghua University
,Beijing 10084
, China
e-mail: hczh@mail.tsinghua.edu.cn
Guihua Wang
State Key Laboratory of Coal Combustion,
Huazhong University of Science and Technology
,Wuhan, Hubei 430074
, China
Pei-feng Hsu
Mechanical and Aerospace
Engineering Department,
Engineering Department,
Florida Institute of Technology
,Melbourne, FL 32901
School of Mechanical Engineering,
e-mail: phsu@fit.edu
Shanghai Dianji University
,Shanghai 201306
, China
e-mail: phsu@fit.edu
1Corresponding author.
Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received December 3, 2012; final manuscript received July 18, 2013; published online June 24, 2014. Assoc. Editor: William P. Klinzing.
J. Heat Transfer. Sep 2014, 136(9): 092702 (11 pages)
Published Online: June 24, 2014
Article history
Received:
December 3, 2012
Revision Received:
July 18, 2013
Citation
Huang, Z., Zhou, H., Wang, G., and Hsu, P. (June 24, 2014). "Equation Solving DRESOR Method for Radiative Transfer in Three-Dimensional Isotropically Scattering Media." ASME. J. Heat Transfer. September 2014; 136(9): 092702. https://doi.org/10.1115/1.4025133
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