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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 43, 2003 - Issue 5
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Original Articles

MITIGATION OF RAY EFFECTS IN THE DISCRETE ORDINATES METHOD

Hong-Shun Li School of Energy and Power Engineering,Huazhong University of Science & Technology,Wuhan, People's Republic of China
,
Gilles Flamant Institut de Science et de Génie des Matériaux et Procédés, Font-Romeu Cédex, France
&
Ji-Dong Lu National Laboratory of Coal Combustion, Huazhong University of Science & Technology, Wuhan, People's Republic of China
Pages 445-466 | Published online: 02 Feb 2011

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Tien-Mo Shih, Chandrasekhar Thamire, Chao-Ho Sung & An-Lu Ren. (2010) Literature Survey of Numerical Heat Transfer (2000–2009): Part I. Numerical Heat Transfer, Part A: Applications 57:3-4, pages 159-296.
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J. Y. Tan, J. M. Zhao, L. H. Liu & Y. Y. Wang. (2009) Comparative Study on Accuracy and Solution Cost of the First/Second-Order Radiative Transfer Equations Using the Meshless Method. Numerical Heat Transfer, Part B: Fundamentals 55:4, pages 324-337.
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F. Asllanaj, V. Feldheim & P. Lybaert. (2007) Solution of Radiative Heat Transfer in 2-D Geometries by a Modified Finite-Volume Method Based on a Cell Vertex Scheme Using Unstructured Triangular Meshes. Numerical Heat Transfer, Part B: Fundamentals 51:2, pages 97-119.
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J. M. Zhao & L. H. Liu. (2007) Second-Order Radiative Transfer Equation and Its Properties of Numerical Solution Using the Finite-Element Method. Numerical Heat Transfer, Part B: Fundamentals 51:4, pages 391-409.
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J. M. Zhao & L. H. Liu. (2006) Least-Squares Spectral Element Method for Radiative Heat Transfer in Semitransparent Media. Numerical Heat Transfer, Part B: Fundamentals 50:5, pages 473-489.
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Pedro Henrique de Almeida Konzen, Leonardo Fernandes Guidi & Thomas Richter. (2023) Quasi-Random Discrete Ordinates Method to Radiative Transfer Equation with Linear Anisotropic Scattering. Defect and Diffusion Forum 427, pages 109-119.
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Michael F. Modest & Sandip Mazumder. 2022. Radiative Heat Transfer. Radiative Heat Transfer 563 616 .
Yuankun Zhang, Geoffrey Brooks, Akbar Rhamdhani & Chunsheng Guo. (2021) Review on Solar Thermochemical Processing for Lunar Applications and Their Heat Transfer Modeling Methods. Journal of Heat Transfer 143:12.
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Yong Cheng, Shuihua Yang & Zhifeng Huang. (2021) Ray Effects and False Scattering in Improved Discrete Ordinates Method. Energies 14:20, pages 6839.
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Yajun Zhu, Chengwen Zhong & Kun Xu. (2020) Ray effect in rarefied flow simulation. Journal of Computational Physics 422, pages 109751.
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Pedro Henrique de Almeida Konzen, Leonardo Fernandes Guidi & Thomas Richter. (2019) Quasi-random discrete ordinates method for neutron transport problems. Annals of Nuclear Energy 133, pages 275-282.
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Rui-Rui Zhou & Ben-Wen Li. (2019) The modified discrete ordinates method for radiative heat transfer in two-dimensional cylindrical medium. International Journal of Heat and Mass Transfer 139, pages 1018-1030.
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Cory Hauck & Vincent Heningburg. (2019) Filtered Discrete Ordinates Equations for Radiative Transport. Journal of Scientific Computing 80:1, pages 614-648.
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Junming M. Zhao & Linhua H. Liu. 2018. Handbook of Thermal Science and Engineering. Handbook of Thermal Science and Engineering 933 978 .
J. M. Zhao & L. H. Liu. 2017. Handbook of Thermal Science and Engineering. Handbook of Thermal Science and Engineering 1 46 .
Feixiao Long, Fengyan Li, Xavier Intes & Shiva P. Kotha. (2016) Radiative transfer equation modeling by streamline diffusion modified continuous Galerkin method. Journal of Biomedical Optics 21:3, pages 036003.
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Cho Young Han. (2015) Prediction of radiative heat transfer using multi-flux method in space application. Advances in Space Research 56:7, pages 1297-1306.
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Brian Hunter & Zhixiong Guo. (2015) Numerical smearing, ray effect, and angular false scattering in radiation transfer computation. International Journal of Heat and Mass Transfer 81, pages 63-74.
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Pedro J. Coelho. (2014) Advances in the discrete ordinates and finite volume methods for the solution of radiative heat transfer problems in participating media. Journal of Quantitative Spectroscopy and Radiative Transfer 145, pages 121-146.
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Janna Martinek & Alan W. Weimer. (2013) Evaluation of finite volume solutions for radiative heat transfer in a closed cavity solar receiver for high temperature solar thermal processes. International Journal of Heat and Mass Transfer 58:1-2, pages 585-596.
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Michael F Modest. 2013. Radiative Heat Transfer. Radiative Heat Transfer 541 584 .
Aydin Nabovati, Daniel P. Sellan & Cristina H. Amon. (2011) On the lattice Boltzmann method for phonon transport. Journal of Computational Physics 230:15, pages 5864-5876.
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Zhi-Feng Huang, Huai-Chun Zhou & Pei-feng Hsu. (2011) Improved Discrete Ordinates Method for Ray Effects Mitigation. Journal of Heat Transfer 133:4.
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Matthias González, Carlos García-Fernández & Pedro Velarde. (2009) 2D numerical comparison between and radiation transport methods . Annals of Nuclear Energy 36:7, pages 886-895.
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Michael F. Modest & Jun Yang. (2008) Elliptic PDE formulation and boundary conditions of the spherical harmonics method of arbitrary order for general three-dimensional geometries. Journal of Quantitative Spectroscopy and Radiative Transfer 109:9, pages 1641-1666.
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Jun Yang & Michael F. Modest. (2007) Elliptic PDE formulation of general, three-dimensional high-order -approximations for radiative transfer. Journal of Quantitative Spectroscopy and Radiative Transfer 104:2, pages 217-227.
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R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen, S. Garrick & V. Srinivasan. (2006) Heat transfer—A review of 2003 literature. International Journal of Heat and Mass Transfer 49:3-4, pages 451-534.
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Hong-Shun Li & Joachim Werther. (2006) Computation of radiative image formation in isolated source and collimated irradiation problems. Journal of Quantitative Spectroscopy and Radiative Transfer 97:1, pages 142-159.
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Hong-Shun Li. (2005) Computation of direct intensity and medium intensity by using the discrete ordinates method. Journal of Quantitative Spectroscopy and Radiative Transfer 92:2, pages 153-173.
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Yulong Hua, Gilles Flamant, Jidong Lu & Daniel Gauthier. (2005) 3D modelling of radiative heat transfer in circulating fluidized bed combustors: influence of the particulate composition. International Journal of Heat and Mass Transfer 48:6, pages 1145-1154.
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