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International Journal of Fluid Mechanics Research
ESCI SJR: 0.206 SNIP: 0.446 CiteScore™: 0.9

ISSN Print: 2152-5102
ISSN Online: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v25.i4-6.100
pages 556-567

Recent Developments in the Solution of Radiation Heat Transfer Using the Discrete Ordinates Method

John C. Chai
Department of Engineering and Technology, School of Computing and Engineering, University of Huddersfield, Huddersfield, HD1 3DH, UK; The Petroleum Institute, Department of Mechanical Engineering Abu Dhabi, United Arab Emirates
H. S. Lee
NASA Lewis Research Center, Cleveland, USA
Suhas V. Patankar
Department of Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455, and Innovative Research, Inc., Plymouth, MN 55447, USA

ABSTRACT

This paper focuses on some of the shortcomings of the discrete ordinates method. Some are crucial to the solution accuracy, while others affect the efficiency of the solution procedure. The shortcomings reviewed in this paper are the ray effect, excessively long computational times in optically thick media, effects of spatial differencing schemes, and false scattering. A recent proposal for a more efficient treatment of the in-scattering term, that reduces the computational times for optically thick scattering media, is described. A study of several spatial differencing schemes, that showed that the diamond scheme can produce physically unrealistic solutions for some multidimensional computations, is discussed. Recommendations for a better differencing scheme that would also reduce false scattering are given.


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