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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 32, 1997 - Issue 2
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Original Articles

PARALLELIZATION OF THE DISCRETE ORDINATES METHOD

J. Gonçalves Mechanical Engineering Department, Institute Superior Tecnico, Technical University of Lisbon, Av. Rovisco Pais, Lisboa Codex, 1096, Portugal
&
P. J. Coelho Mechanical Engineering Department, Institute Superior Tecnico, Technical University of Lisbon, Av. Rovisco Pais, Lisboa Codex, 1096, Portugal
Pages 151-173 | Received 27 Sep 1996, Accepted 31 Mar 1997, Published online: 23 Mar 2007

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Xiao Xu. (2021) Implicit discrete ordinates discontinuous Galerkin method for radiation problems on shared-memory multicore CPU/many-core GPU computation architecture. Numerical Heat Transfer, Part B: Fundamentals 79:4, pages 165-188.
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Damien Poitou, Jorge Amaya & Florent Duchaine. (2012) Parallel Computation for Radiative Heat Transfer Using the DOM in Combustion Applications: Direction, Frequency, Subdomain Decompositions, and Hybrid Methods. Numerical Heat Transfer, Part B: Fundamentals 62:1, pages 28-49.
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WilliamF. Godoy & Xu Liu. (2011) Introduction of Parallel GPGPU Acceleration Algorithms for the Solution of Radiative Transfer. Numerical Heat Transfer, Part B: Fundamentals 59:1, pages 1-25.
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MarcR.J. Charest, ClintonP.T. Groth & ÖmerL. Gülder. (2010) A computational framework for predicting laminar reactive flows with soot formation. Combustion Theory and Modelling 14:6, pages 793-825.
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AbhilashJ. Chandy, DavidJ. Glaze & StevenH. Frankel. (2007) Parallelizing the Discrete Ordinates Method (DOM) for Three-Dimensional Radiative Heat Transfer Calculations using a Priority Queuing Technique. Numerical Heat Transfer, Part B: Fundamentals 52:1, pages 33-49.
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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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Gautham Krishnamoorthy, Rajesh Rawat & PhilipJ. Smith. (2006) Parallelization of the P-1 Radiation Model. Numerical Heat Transfer, Part B: Fundamentals 49:1, pages 1-17.
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Gautham Krishnamoorthy, Rajesh Rawat & Philip J. Smith. (2004) PARALLEL COMPUTATIONS OF RADIATIVE HEAT TRANSFER USING THE DISCRETE ORDINATES METHOD. Numerical Heat Transfer, Part B: Fundamentals 47:1, pages 19-38.
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J. Tal, R. Ben-Zvi & A. Kribus. (2003) A HIGH-EFFICIENCY PARALLEL SOLUTION OF THE RADIATIVE TRANSFER EQUATION. Numerical Heat Transfer, Part B: Fundamentals 44:3, pages 295-308.
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Articles from other publishers (22)

Michael F. Modest & Sandip Mazumder. 2022. Radiative Heat Transfer. Radiative Heat Transfer 563 616 .
J. Xamán, I. Hernández-López, J. Uriarte-Flores, I. Hernández-Pérez, I. Zavala-Guillén, P. Moreno-Bernal & J.F. Hinojosa. (2018) - factor: A modified relaxation factor to accelerate the convergence rate of the radiative transfer equation with high-order resolution schemes using the Normalized Weighting-Factor method . Computer Physics Communications 231, pages 72-93.
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M.A. Badri, P. Jolivet, B. Rousseau & Y. Favennec. (2018) High performance computation of radiative transfer equation using the finite element method. Journal of Computational Physics 360, pages 74-92.
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R. Gonçalves dos Santos, S. Ducruix, O. Gicquel & D. Veynate. (2015) A study of three-dimensional LES of turbulent combustion with radiative heat transfer. Journal of the Brazilian Society of Mechanical Sciences and Engineering 38:1, pages 33-48.
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Syed Ashraf Ali, Gautham Kollu, Sandip Mazumder, P. Sadayappan & Arpit Mittal. (2014) Large-scale parallel computation of the phonon Boltzmann Transport Equation. International Journal of Thermal Sciences 86, pages 341-351.
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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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Michael F Modest. 2013. Radiative Heat Transfer. Radiative Heat Transfer 541 584 .
William F. Godoy & Xu Liu. (2012) Parallel Jacobian-free Newton Krylov solution of the discrete ordinates method with flux limiters for 3D radiative transfer. Journal of Computational Physics 231:11, pages 4257-4278.
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Marc R.J. Charest, Clinton P.T. Groth & Ömer L. Gülder. (2012) Solution of the equation of radiative transfer using a Newton–Krylov approach and adaptive mesh refinement. Journal of Computational Physics 231:8, pages 3023-3040.
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William F. Godoy & Paul E. DesJardin. (2010) On the use of flux limiters in the discrete ordinates method for 3D radiation calculations in absorbing and scattering media. Journal of Computational Physics 229:9, pages 3189-3213.
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Gunhong Kim, Seokgwon Kim & Yongmo Kim. (2005) Parallelized unstructured-grid finite volume method for modeling radiative heat transfer. Journal of Mechanical Science and Technology 19:4, pages 1006-1017.
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X. Lu & P.-f. Hsu. (2003) Parallel Computing of an Integral Formulation of Transient Radiation Transport. Journal of Thermophysics and Heat Transfer 17:4, pages 425-433.
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E.E. Aubanel & F. El Khettabi. (2003) Parallelization of the three-dimensional transport equation for Boron Neutron Capture Therapy. Parallelization of the three-dimensional transport equation for Boron Neutron Capture Therapy.
Michael F. Modest. 2003. Radiative Heat Transfer. Radiative Heat Transfer 498 538 .
E.E. Aubanel & F. El Khettabi. (2002) Parallelization of radiation transport on unstructured triangular grids with spatial decomposition a. Parallelization of radiation transport on unstructured triangular grids with spatial decomposition a.
J.G. Marakis, J. Chamiço, G. Brenner & F. Durst. (2001) Parallel ray tracing for radiative heat transfer. International Journal of Numerical Methods for Heat & Fluid Flow 11:7, pages 663-681.
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Abraham Kribus, Chongshan Zhang & Rami Ben-Zvi. 2001. Fluid Mechanics and the Environment: Dynamical Approaches. Fluid Mechanics and the Environment: Dynamical Approaches 151 162 .
E.R.G. Eckert, R.J. Goldstein, W.E. Ibele, S.V. Patankar, T.W. Simon, T.H. Kuehn, P.J. Strykowski, K.K. Tamma, A. Bar-Cohen, J.V.R. Heberlein, J.H. Davidson, J. Bischof, F.A. Kulacki, U. Kortshagen & S. Garrick. (2000) Heat transfer — a review of 1997 literature. International Journal of Heat and Mass Transfer 43:14, pages 2431-2528.
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P. J. Coelho. (1999) Parallel simulation of a utility boiler. Part II: model evaluation and parallel performance. Communications in Numerical Methods in Engineering 15:10, pages 727-736.
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P. J. Coelho. (1999) Parallel simulation of a utility boiler. Part I: mathematical model and numerical solution method. Communications in Numerical Methods in Engineering 15:10, pages 717-726.
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P.J. Coelho & J. Gonçalves. (1999) Parallelization of the finite volume method for radiation heat transfer. International Journal of Numerical Methods for Heat & Fluid Flow 9:4, pages 388-406.
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Pedro Jorge Coelho. 1999. Vector and Parallel Processing – VECPAR’98. Vector and Parallel Processing – VECPAR’98 203 214 .

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