Proceedings ArticleDOI
An evaluation of three spatial differencing schemes for the discrete ordinates method in participating media
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TLDR
In this paper, three popular spatial differencing schemes for the discrete ordinates method are examined for two-dimensional Cartesian coordinates system: a positive, the step, and the diamond schemes.Abstract:
Three popular spatial differencing schemes for the discrete ordinates method are examined for two-dimensional Cartesian coordinates system. These are a positive, the step, and the diamond schemes. Contrary to the common belief that negative intensities will not occur when fine spatial discretization is used with the diamond scheme, under certain conditions, the diamond scheme will produce negative intensities irrespective of the number of control volums employed. The positive scheme can produce physically unrealistic trends. The diamond and positive schemes are also capable of producing physically unrealistic overshoots. In absorbing-emitting or absorbing-emitting-scattering media, grid refinement can result in negative intensities when the diamond or positive scheme is used.read more
Citations
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Journal ArticleDOI
Ray effect and false scattering in the discrete ordinates method
TL;DR: In this article, a discussion on the ray effect and false scattering occurring in discrete ordinates solution of the radiative transfer equation is presented, and four sample problems are used to explain these two effects.
Proceedings ArticleDOI
A new computational algorithm for the solution of radiation heat transfer problems
TL;DR: A new computational algorithm is developed for solving the mtegrodifferential equation of radiative heat transfer using the CrankNicolson finite-difference/finite-volume technique, which is significantly more efficient than the existing methods.
References
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Journal ArticleDOI
A Finite-Volume Method for Predicting a Radiant Heat Transfer in Enclosures With Participating Media
G. D. Raithby,E. H. Chui +1 more
TL;DR: A new finite-volume method is proposed to predict radiant heat transfer in enclosures with participating media and test results indicate that good accuracy is obtained on coarse computational grids, and that solution errors diminish rapidly as the grid is refined.
Journal ArticleDOI
Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method
TL;DR: In this article, the discrete-ordinates equations were formulated for an absorbing, anisotropic scattering, and re-emitting medium enclosed by gray walls and the conditions for computational stability were presented.
Three-dimensional radiative heat transfer solutions by the discrete-ordinates method
TL;DR: In this paper, the discrete-ordinates equations were formulated for an absorbing, anisotropic scattering, and re-emitting medium enclosed by gray walls and the conditions for computational stability were presented.
Journal ArticleDOI
Spatial differencing of the transport equation: Positivity vs. accuracy
TL;DR: In this paper, positive spatial difference schemes for the Boltzmann equation are compared in x -y geometry and it is found that none of the positive schemes are as accurate as the most commonly used non-positive scheme.
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