Ray Effects and False Scattering in Improved Discrete Ordinates Method

The improved discrete ordinates method (IDOM) developed in our previous paper is extended to solve radiative transfer in three-dimensional radiative systems with anisotropic scattering medium. In IDOM, radiative intensities in a large number of new discrete directions are calculated by direct integr...

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Main Authors: Yong Cheng, Shuihua Yang, Zhifeng Huang
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/14/20/6839
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author Yong Cheng
Shuihua Yang
Zhifeng Huang
author_facet Yong Cheng
Shuihua Yang
Zhifeng Huang
author_sort Yong Cheng
collection DOAJ
description The improved discrete ordinates method (IDOM) developed in our previous paper is extended to solve radiative transfer in three-dimensional radiative systems with anisotropic scattering medium. In IDOM, radiative intensities in a large number of new discrete directions are calculated by direct integration of the conventional discrete ordinates method (DOM) results, and radiative heat flux is obtained by integrating radiative intensities in these new discrete directions. Ray effects and false scattering, which tend to compensate each other, are investigated together in IDOM. Results show that IDOM can mitigate both of them effectively with high computation efficiency. Finally, the effect of scattering phase function on radiative transfer is studied. Results of radiative heat flux at boundaries containing media with different scattering phase functions are compared and analyzed. This paper indicates that the IDOM can overcome the shortages of the conventional DOM well while inheriting its advantages such as high computation efficiency and easy implementation.
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spelling doaj.art-3027c3ce77cb4b20a3a2f529a2bdf92e2023-11-22T18:09:37ZengMDPI AGEnergies1996-10732021-10-011420683910.3390/en14206839Ray Effects and False Scattering in Improved Discrete Ordinates MethodYong Cheng0Shuihua Yang1Zhifeng Huang2Key Laboratory of Hydraulic Machinery Transients of Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Hydraulic Machinery Transients of Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaKey Laboratory of Hydraulic Machinery Transients of Ministry of Education, School of Power and Mechanical Engineering, Wuhan University, Wuhan 430072, ChinaThe improved discrete ordinates method (IDOM) developed in our previous paper is extended to solve radiative transfer in three-dimensional radiative systems with anisotropic scattering medium. In IDOM, radiative intensities in a large number of new discrete directions are calculated by direct integration of the conventional discrete ordinates method (DOM) results, and radiative heat flux is obtained by integrating radiative intensities in these new discrete directions. Ray effects and false scattering, which tend to compensate each other, are investigated together in IDOM. Results show that IDOM can mitigate both of them effectively with high computation efficiency. Finally, the effect of scattering phase function on radiative transfer is studied. Results of radiative heat flux at boundaries containing media with different scattering phase functions are compared and analyzed. This paper indicates that the IDOM can overcome the shortages of the conventional DOM well while inheriting its advantages such as high computation efficiency and easy implementation.https://www.mdpi.com/1996-1073/14/20/6839ray effectsfalse scatteringimproved discrete ordinates methodanisotropic scattering
spellingShingle Yong Cheng
Shuihua Yang
Zhifeng Huang
Ray Effects and False Scattering in Improved Discrete Ordinates Method
Energies
ray effects
false scattering
improved discrete ordinates method
anisotropic scattering
title Ray Effects and False Scattering in Improved Discrete Ordinates Method
title_full Ray Effects and False Scattering in Improved Discrete Ordinates Method
title_fullStr Ray Effects and False Scattering in Improved Discrete Ordinates Method
title_full_unstemmed Ray Effects and False Scattering in Improved Discrete Ordinates Method
title_short Ray Effects and False Scattering in Improved Discrete Ordinates Method
title_sort ray effects and false scattering in improved discrete ordinates method
topic ray effects
false scattering
improved discrete ordinates method
anisotropic scattering
url https://www.mdpi.com/1996-1073/14/20/6839
work_keys_str_mv AT yongcheng rayeffectsandfalsescatteringinimproveddiscreteordinatesmethod
AT shuihuayang rayeffectsandfalsescatteringinimproveddiscreteordinatesmethod
AT zhifenghuang rayeffectsandfalsescatteringinimproveddiscreteordinatesmethod