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International Conference on Vector and Parallel Processing

VECPAR 1996: Vector and Parallel Processing — VECPAR'96 pp 222–235Cite as

Parallelization of the discrete ordinates method: Two different approaches

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1215))

Abstract

One of the most popular methods used in the solution of radiative heat transfer problems is the discrete ordinates method (DOM). The present paper describes two different parallelization strategies of the DOM. One of them is based on angular decomposition and the other one is based on spatial decomposition. In the first case each processor performs the calculations for the whole domain but only deals with a few directions, while in the second case each processor treats all the directions but only for a subdomain. It is shown that the number of iterations is independent of the number of processors in the first parallelization strategy, but increases with the number of processors in the second case. Consequently, higher efficiencies are achievable using the angular decomposition approach. The influence of the order of quadrature, grid size and optical thickness of the medium is also investigated.

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References

  1. Carlson, B.G. and Lathrop, K.D., Transport Theory — The Method of Discrete Ordinates, in Computing Methods in Reactor Physics, Gordon & Breach, New York, 1968.

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  2. Fiveland, W.A., Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures, J. Heat Transfer, Vol. 106, pp. 415–423, 1990.

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  3. Modest, M.F., Radiative Heat Transfer, McGraw-Hill, 1993.

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  4. Coelho, P.J., Gonçalves, J.M. and Carvalho, M.G., A Comparative Study of Radiation Models for Coupled Fluid Flow/Heat Transfer Problems, in Numerical Methods in Thermal Problems, Vol IX, Part 1, pp. 378–389, 1995.

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Authors and Affiliations

  1. Mechanical Engineering Department, Instituto Superior Técnico, Technical University of Lisbon, Av. Rovisco Pais, 1096, Lisboa Codex, Portugal

    P. J. Coelho, J. Gonçalves & P. Novo

Authors
  1. P. J. Coelho
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  2. J. Gonçalves
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  3. P. Novo
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Editor information

José M. L. M. Palma Jack Dongarra

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© 1997 Springer-Verlag Berlin Heidelberg

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Coelho, P.J., Gonçalves, J., Novo, P. (1997). Parallelization of the discrete ordinates method: Two different approaches. In: Palma, J.M.L.M., Dongarra, J. (eds) Vector and Parallel Processing — VECPAR'96. VECPAR 1996. Lecture Notes in Computer Science, vol 1215. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-62828-2_122

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  • DOI: https://doi.org/10.1007/3-540-62828-2_122

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62828-6

  • Online ISBN: 978-3-540-68699-6

  • eBook Packages: Springer Book Archive

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