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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 62, 2012 - Issue 2-3: Papers Presented at the “Minisymposium on Computational Radiative and Convective Heat Transfer” in Honor of Professor George D. Raithby
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Original Articles

Further Development of the Elliptic PDE Formulation of the PN Approximation and its Marshak Boundary Conditions

Michael F. Modest School of Engineering, University of California, California, USACorrespondence[email protected]
Pages 181-202 | Received 27 Jan 2012, Accepted 25 May 2012, Published online: 18 Sep 2012

Citations (11)

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Hai-Feng Sun, Feng-Xian Sun & Xin-Lin Xia. (2017) Bidirectionally weighted Monte Carlo method for radiation transfer in the participating media. Numerical Heat Transfer, Part B: Fundamentals 71:2, pages 202-215.
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Articles from other publishers (10)

Chaojun Wang, Di He, Boshu He, Yucheng Kuang & Qiang Ren. (2023) Multiphase Radiation Characteristics of a Laboratory-Scale Pulverized Coal Flame. Journal of Thermophysics and Heat Transfer 37:2, pages 477-490.
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Wenjun Ge, Chloe David, Michael F. Modest, Ramanan Sankaran & Somesh P. Roy. (2023) Comparison of spherical harmonics method and discrete ordinates method for radiative transfer in a turbulent jet flame. Journal of Quantitative Spectroscopy and Radiative Transfer 296, pages 108459.
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Fengshan Liu, Jean-Louis Consalvi, Pedro J. Coelho, Frédéric Andre, Mingyan Gu, Vladimir Solovjov & Brent W. Webb. (2020) The impact of radiative heat transfer in combustion processes and its modeling – with a focus on turbulent flames. Fuel 281, pages 118555.
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Cheng-An Wang, Tian-Run Shen, Ji-Peng Gao & Jian-Yu Tan. (2019) Development of RTE solver for radiative transfer in absorbing-emitting medium using finite volume based CFD library OpenFOAM. International Journal of Thermal Sciences 140, pages 36-42.
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Zekeriya Altaç & Zerrin Sert. (2017) Application of alternative synthetic kernel approximation to radiative transfer in regular and irregular two-dimensional media. Journal of Quantitative Spectroscopy and Radiative Transfer 187, pages 293-309.
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Wenjun Ge, Michael F. Modest & Somesh P. Roy. (2016) Development of high-order P models for radiative heat transfer in special geometries and boundary conditions. Journal of Quantitative Spectroscopy and Radiative Transfer 172, pages 98-109.
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Michael F. Modest & Daniel C. HaworthMichael F. Modest & Daniel C. Haworth. 2016. Radiative Heat Transfer in Turbulent Combustion Systems. Radiative Heat Transfer in Turbulent Combustion Systems 43 83 .
Wenjun Ge, Michael F. Modest & Ricardo Marquez. (2015) Two-dimensional axisymmetric formulation of high order spherical harmonics methods for radiative heat transfer. Journal of Quantitative Spectroscopy and Radiative Transfer 156, pages 58-66.
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Jian Cai, Ricardo Marquez & Michael F. Modest. (2014) Comparisons of Radiative Heat Transfer Calculations in a Jet Diffusion Flame Using Spherical Harmonics and k -Distributions . Journal of Heat Transfer 136:11, pages 112702.
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Michael F. Modest, Jian Cai, Wenjun Ge & E. Lee. (2014) Elliptic formulation of the Simplified Spherical Harmonics Method in radiative heat transfer. International Journal of Heat and Mass Transfer 76, pages 459-466.
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