Publication Cover
Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 32, 1997 - Issue 2
93
Views
32
CrossRef citations to date
0
Altmetric
Original Articles

PARALLELIZATION OF THE DISCRETE ORDINATES METHOD

&
Pages 151-173 | Received 27 Sep 1996, Accepted 31 Mar 1997, Published online: 23 Mar 2007

References

  • L. A. Gritzo , R. D. Skocypec , and T. W. Tong , The Use of High-Performance Computing to Solve Participating Media Radiative Heat Transfer Problems—Results of an NSF Workshop , Sandia Report SAND95–0225 , 1995 .
  • J. R. Howell , Thermal Radiation in Participating Media The Past, the Present, and Some Possible Futures , J. Heat Transfer , vol. 110 , pp. 1220 – 1229 , 1988 .
  • C. Saltiel and M. H. N. Naraghi , Parallel Processing Approach for Radiative Heat Transfer Prediction in Participating Media , J. Thermophys. Heat Transfer , vol. 7 , pp. 739 – 742 , 1993 .
  • P. J. Burns and D. V. Pryor , Vector and Parallel Monte Carlo Radiative Heat Transfer Simulation , Numer. Heat Transfer, Part B , vol. 16 , pp. 97 – 124 , 1989 .
  • R. G. Minnich and D. V. Pryor , Radiative Heat Transfer on a SPARCStation Farm , Concurrency; Practice and Experience , vol. 5 , pp. 345 – 357 , 1993 .
  • P. J. Novo , P. J. Coelho , and M. G. Carvalho , Parallelization of the Discrete Transfer Method Two Different Approaches , ASME HTD-Vol. 235, Proc. 31st Natl. Heat Transfer Conf. , R. D. Skocypec, D. A. Kaminski, T. Tong, S. T. Thynell, A. M. Tong (Eds.) , vol. 3 , pp. 45 – 54 , 1996 .
  • B. G. Carlson and K. D. Lathrop , Transport Theory—The Method of Discrete Ordinates , in H. Greenspan, C. N. Kelber, and D. Okrent (Eds.), Computing Methods in Reactor Physics , chap. 3 , Gordon & Breach , New York , 1968 .
  • W. A. Fiveland , Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures , J. Heat Transfer , vol. 106 , pp. 699 – 706 , 1984 .
  • A. Benmalek , T. W. Tong , and W. Li , Distributed-Memory Parallel Algorithm for the Solution of the Spectral Radiative Transfer Equation , AIAA Paper 96–0606 , 1996 .
  • U. R. Hanebutte and E. E. Lewis , A Massively Parallel Algorithm for Radiative Transfer Calculations , ASME Paper 91-WA-HT-10 , 1991 .
  • B. R. Wienke and R. E. Hiromoto , Parallel Sn Iteration Schemes , Nuclear Sci. Eng. , vol. 90 , pp. 116 – 123 , 1985 .
  • A. Haghighat , Angular Parallelization of a Curvilinear Sn Transport Theory Method , Nuclear Sci. Eng. , vol. 108 , pp. 267 – 277 , 1991 .
  • R. Mattis and A. Haghighat , Domain Decomposition of a Two-Dimensional Sn Method , Nuclear Sci. Eng. , vol. Ill , pp. 180 – 196 , 1992 .
  • M. Yavuz and E. W. Larsen , Iterative Methods for Solving x-y Geometry Sn Problems on Parallel Architecture Computers , Nuclear Sci. Eng. , vol. 112 , pp. 32 – 42 , 1992 .
  • U. R. Hannebutte and E. E. Lewis , A Massively Parallel Discrete Ordinates Response Matrix Method for Neutron Transport , Nuclear Sci. Eng. , vol. 111 , pp. 46 – 56 , 1992 .
  • P. J. Coelho , J. Gonçalves , and P. Novo , Parallelization of the Discrete Ordinates Method Two Different Approaches , 2nd Int. Meeting on Vector and Parallel Processing , Porto , Portugal , 25–27 September 1996 .
  • M. F. Modest , Radiative Heat Transfer , McGraw-Hill , New York , 1993 .
  • A. F. Fiveland , The Selection of Discrete Ordinate Quadrature Sets for Anisotropic Scattering , ASME HTD—Vol. 160 , Proc. 28th Natl. Meat Transfer Conf. , pp. 89 – 96 , 1991 .
  • J. C. Chai , S. V. Patankar , and H. S. Lee , Evaluation of Spatial Differencing Practices for the Discrete-Ordinates Method , J. Thermophys. Heal Transfer , vol. 8 , pp. 140 – 144 , 1994 .
  • D. J. Hyde , J. S. True love , The Discrete Ordinates Approximation for Multi-Dimensional Radiant Heat Transfer in Furnaces , AERE R-8502 , AERE Harwell , U.K. , 1977 .
  • A. S. Jamaluddin and P. J. Smith , Predicting Radiative Transfer in Rectangular Enclosures Using the Discrete Ordinates Method , Combustion Sci. TechnoL , vol. 59 , pp. 321 – 340 , 1988 .
  • M. G. Carvalho , T. Farias , and P. Fontes , Predicting Radiative Heat Transfer in Absorbing, Emitting and Scattering Media Using the Discrete Transfer Method , ASME FED-Vol. 160 , pp. 17 – 26 , 1991 .
  • P. J. Coelho and J. M. Gonçalves , Estudo Comparativo dos Métodos da Transferência Discreta e das Ordenadas Discretas (in Portuguese) , 4° Encontro National de Mecânica Computational , vol. 2 , pp. 795 – 809 , Lisbon , 10–12 April 1995 .
  • M. P. Mengiic , and R. Viskanta , Radiative Transfer in Three-Dimensional Rectangular Enclosures Containing Inhomogeneous Anisotropically Scattering Media , J. Quant. Spectrosc. Radiative Transfer , vol. 33 , pp. 533 – 549 , 1985 .
  • P. J. Coelho , J. M. Goncjalves , and M. G. Carvalho , A Comparative Study of Radiation Models for Coupled Fluid Flow/Heat Transfer Problems , in R. Lewis and P. Durbetaki (Eds.), Numerical Methods in Thermal Problems , vol. IX , Part 1, pp. 378 – 389 , 1995 .
  • Address correspondence to Professor Pedro J. Coelho, Mechanical Engineering Department, Instituto Superior Tecnico, Technical University of Lisbon, Av. Rovisco Pais, 1096 Lisboa Codex, Portugal. E-mail: [email protected]

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.