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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 51, 2007 - Issue 2
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Original Articles

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

F. Asllanaj LEMTA, Faculté des Sciences et Techniques, Université Henri Poincaré, Vandoeuvre les Nancy Cedex, FranceCorrespondence[email protected]
,
V. Feldheim Thermal Engineering and Combustion Laboratory, Faculté Polytechnique de Mons, Mons, Belgium
&
P. Lybaert Thermal Engineering and Combustion Laboratory, Faculté Polytechnique de Mons, Mons, Belgium
Pages 97-119 | Received 31 Aug 2005, Accepted 14 Apr 2006, Published online: 24 Feb 2007

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Zhen-Huan Li, Xiao-Lei Li, Xin-Lin Xia & Chuang Sun. (2020) A hybrid strategy for solving radiation-conduction in irregular geometries filled with gray semitransparent medium using Monte Carlo method combined with blocked-off and embedded boundary treatments. Numerical Heat Transfer, Part B: Fundamentals 77:1, pages 22-41.
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Georgios N. Lygidakis & Ioannis K. Nikolos. (2016) Assessment of different spatial/angular agglomeration multigrid schemes for the acceleration of FVM radiative heat transfer computations. Numerical Heat Transfer, Part B: Fundamentals 69:5, pages 389-412.
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Pingjian Ming & Wenping Zhang. (2012) Numerical Simulation of Natural Convection and Radiation Heat Transfer in Two-Dimensional Enclosure on Hybrid Grids. Numerical Heat Transfer, Part B: Fundamentals 61:6, pages 505-520.
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Tien-Mo Shih, Martinus Arie & Derrick Ko. (2011) Literature Survey of Numerical Heat Transfer (2000–2009): Part II. Numerical Heat Transfer, Part A: Applications 60:11-12, pages 883-1096.
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DanielR. Rousse, Fatmir Asllanaj, Nizar Ben Salah & Stéphane Lassue. (2011) A Consistent Interpolation Function for the Solution of Radiative Transfer on Triangular Meshes, II—Validation. Numerical Heat Transfer, Part B: Fundamentals 59:2, pages 116-129.
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Lilong Wu, Bin Chen & Gaoling Zhou. (2010) An Improved Bubble Packing Method for Unstructured Grid Generation with Application to Computational Fluid Dynamics. Numerical Heat Transfer, Part B: Fundamentals 58:5, pages 343-369.
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F. Juretić & A. D. Gosman. (2010) Error Analysis of the Finite-Volume Method with Respect to Mesh Type. Numerical Heat Transfer, Part B: Fundamentals 57:6, pages 414-439.
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Chongmin Kim, Man Young Kim, Myoung Jong Yu & SubhashC. Mishra. (2010) Unstructured Polygonal Finite-Volume Solutions of Radiative Heat Transfer in a Complex Axisymmetric Enclosure. Numerical Heat Transfer, Part B: Fundamentals 57:3, pages 227-239.
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Jian-Feng Luo & Xi Shen. (2009) Numerical Method of the Ray Tracing-Node Analyzing Method for Solving 2-D Transient Coupled Heat Transfer in a Rectangular Semitransparent Medium. Numerical Heat Transfer, Part A: Applications 55:5, pages 465-486.
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Qiang Cheng, Huai-Chun Zhou, Yong-lin Yu & De-xiu Huang. (2008) Highly-Directional Radiative Intensity in a 2-D Rectangular Enclosure Calculated by the DRESOR Method. Numerical Heat Transfer, Part B: Fundamentals 54:4, pages 354-367.
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Man Young Kim, Seung Wook Baek & Seouk Park. (2008) Evaluation of The Finite-Volume Solutions of Radiative Heat Transfer in a Complex Two-Dimensional Enclosure with Unstructured Polygonal Meshes. Numerical Heat Transfer, Part B: Fundamentals 54:2, pages 116-137.
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R. Muthukumaran & SubhashC. Mishra. (2007) Interaction of a Short-Pulse Laser of a Gaussian Temporal Profile with an Inhomogeneous Medium. Numerical Heat Transfer, Part A: Applications 53:6, pages 625-640.
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Rajpreet Singh, SubhashC. Mishra, NitishK. Roy, Nakul Singh Shekhawat & Kunal Mitra. (2007) An Insight Into The Modeling of Short-Pulse Laser Transport Through A Participating Medium. Numerical Heat Transfer, Part B: Fundamentals 52:4, pages 373-385.
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F. Asllanaj, G. Parent & G. Jeandel. (2007) Transient Radiation and Conduction Heat Transfer in a Gray Absorbing-Emitting Medium Applied on Two-Dimensional Complex-Shaped Domains. Numerical Heat Transfer, Part B: Fundamentals 52:2, pages 179-200.
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Articles from other publishers (27)

P. Jolivet, M.A. Badri & Y. Favennec. (2021) Deterministic radiative transfer equation solver on unstructured tetrahedral meshes: Efficient assembly and preconditioning. Journal of Computational Physics 437, pages 110313.
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Zhiwei Lin, Shaoen Jiang & Lu Zhang. (2019) The Construction of a Conservative Radiation Hydrodynamics Algorithm in Two-Dimensional Spherical Geometry. Journal of Heat Transfer 141:10.
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Yujia Sun & Xiaobing Zhang. (2018) A hybrid strategy of lattice Boltzmann method and finite volume method for combined conduction and radiation in irregular geometry. International Journal of Heat and Mass Transfer 121, pages 1039-1054.
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Biao Zhang, Chuan-Long Xu & Shi-Min Wang. (2017) Generalized source Finite Volume Method for radiative transfer equation in participating media. Journal of Quantitative Spectroscopy and Radiative Transfer 189, pages 189-197.
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John Tencer. (2016) Ray Effect Mitigation Through Reference Frame Rotation. Journal of Heat Transfer 138:11.
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M. Ghattassi, J.R. Roche, F. Asllanaj & M. Boutayeb. (2016) Galerkin method for solving combined radiative and conductive heat transfer. International Journal of Thermal Sciences 102, pages 122-136.
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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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Pedro J. Coelho. (2014) Application of high resolution NVD and TVD differencing schemes to the discrete ordinates method using unstructured grids. Journal of Quantitative Spectroscopy and Radiative Transfer 143, pages 3-15.
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Yan Yu, Pingjian Ming & Song Zhou. (2014) Numerical Study on Transient Heat Transfer of a Quartz Lamp Heating System. Mathematical Problems in Engineering 2014, pages 1-11.
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M. Marin, F. Asllanaj & D. Maillet. (2014) Sensitivity analysis to optical properties of biological tissues subjected to a short-pulsed laser using the time-dependent radiative transfer equation. Journal of Quantitative Spectroscopy and Radiative Transfer 133, pages 117-127.
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Zhichao Wang, Qiang Cheng & Huaichun Zhou. (2013) The DRESOR method for transient radiation transfer in 1-D graded index medium with pulse irradiation. International Journal of Thermal Sciences 68, pages 127-135.
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Pavel Ferkl, Richard Pokorný, Marek Bobák & Juraj Kosek. (2013) Heat transfer in one-dimensional micro- and nano-cellular foams. Chemical Engineering Science 97, pages 50-58.
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Ya-Song Sun & Ben-Wen Li. (2012) Prediction of radiative heat transfer in 2D irregular geometries using the collocation spectral method based on body-fitted coordinates. Journal of Quantitative Spectroscopy and Radiative Transfer 113:17, pages 2205-2212.
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Ya-Song Sun, Jing Ma & Ben-Wen Li. (2012) Chebyshev Collocation Spectral Method for Three-Dimensional Transient Coupled Radiative–Conductive Heat Transfer. Journal of Heat Transfer 134:9.
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Fatmir Asllanaj & Sebastien Fumeron. (2012) Applying a new computational method for biological tissue optics based on the time-dependent two-dimensional radiative transfer equation. Journal of Biomedical Optics 17:7, pages 0750071.
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Lionel Trovalet, Gérard Jeandel, Pedro J. Coelho & Fatmir Asllanaj. (2011) Modified finite-volume method based on a cell vertex scheme for the solution of radiative transfer problems in complex 3D geometries. Journal of Quantitative Spectroscopy and Radiative Transfer 112:17, pages 2661-2675.
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Raoudha Chaabane, Faouzi Askri & Sassi Ben Nasrallah. (2011) Application of the lattice Boltzmann method to transient conduction and radiation heat transfer in cylindrical media. Journal of Quantitative Spectroscopy and Radiative Transfer 112:12, pages 2013-2027.
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Jian-Feng Luo, Hong-Liang Yi, Sheng-Li Chang & He-Ping Tan. (2010) Radiation and Conduction in an Isotropic Scattering Rectangular Medium With One Semitransparent and Diffusely Reflecting Boundary. Journal of Heat Transfer 132:11.
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Jian-Feng Luo, Hong-Liang Yi & He-Ping Tan. (2010) Transient couple heat transfer in an absorbing rectangular medium with one semitransparent diffuse boundary. Heat and Mass Transfer 46:8-9, pages 961-974.
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H. Amiri, S.H. Mansouri & A. Safavinejad. (2010) Combined conductive and radiative heat transfer in an anisotropic scattering participating medium with irregular geometries. International Journal of Thermal Sciences 49:3, pages 492-503.
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Georges El Hitti, Maroun Nemer & Khalil El Khoury. (2010) Transient Radiation and Conduction Heat Transfer in Glass Sheets by the Thin Layer Approximation. Journal of Heat Transfer 132:2.
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Shaikh Faruque Ali, Cédric Delattre, Hugues Rafaralahy, Gaëtan Didier, Gérard Jeandel & Mohamed Boutayeb. (2010) Control of Transient Coupled Radiative-conductive Heat Transfer Equation. IFAC Proceedings Volumes 43:8, pages 424-429.
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F. Asllanaj & S. Fumeron. (2010) Modified finite volume method applied to radiative transfer in 2D complex geometries and graded index media. Journal of Quantitative Spectroscopy and Radiative Transfer 111:2, pages 274-279.
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Jian-Feng Luo, Sheng-Li Chang, Jian-Kun Yang & Jun-Cai Yang. (2009) Conduction and radiation in a rectangular isotropic scattering medium with black surfaces by the RTNAM. International Journal of Heat and Mass Transfer 52:21-22, pages 5064-5071.
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Jian-Feng Luo, Sheng-Li Chang, Jian-Kun Yang, Xi Shen & Garba inoussa. (2008) Transient coupled heat transfer in a rectangular medium with black surfaces. Journal of Quantitative Spectroscopy and Radiative Transfer 109:15, pages 2603-2612.
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H. Grissa, F. Askri, M. Ben Salah & S. Ben Nasrallah. (2008) Nonaxisymmetric radiative transfer in inhomogeneous cylindrical media with anisotropic scattering. Journal of Quantitative Spectroscopy and Radiative Transfer 109:3, pages 494-513.
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H. Grissa, F. Askri, M. Ben Salah & S. Ben Nasrallah. (2007) Three-dimensional radiative transfer modeling using the control volume finite element method. Journal of Quantitative Spectroscopy and Radiative Transfer 105:3, pages 388-404.
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