Advertisement

Automation and Remote Control

, Volume 68, Issue 5, pp 860–873 | Cite as

Parallel computing in problems that occur during mathematical simulation of radiation transfer

  • E. F. Lelikova
  • L. I. Rubina
  • O. N. Ul’yanov
  • M. A. Chashchin
Topical Issue
  • 30 Downloads

Abstract

Possibilities of the application of parallel computing to solving problems that occur during mathematical simulation of radiation transfer are considered. Techniques of the radiation analytic representation method (RARM) and the Lagrange-Chebyshev polynomial method (LCPM) for radiation transfer numerical simulation in the nonuniform plane layer of finite thickness that contains single-or multicomponent mixture of substances are designed. The techniques include several sequential and parallel algorithms and programs that realize them; a part of them is joined into a program system with the user interface. Parallel programs are elaborated in MPI and DVM technologies of parallel programming.

PACS numbers

02.60.Cb 02.70.-c 42.62.Fi 97.10.Ex 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    Mihalas, D., Stellar Atmospheres, San Francisco: Freeman, 1978. Translated under the title Zvezdnye atmosfery, Moscow: Mir, 1982, vols. 1, 2.Google Scholar
  2. 2.
    Biberman, L.M., Vorob’ev, V.S., and Yakubov, I.T., Kinetika neravnovesnoi nizkotemperaturnoi plazmy (Kinetics of Nonequilibrium Low-Temperature Plasma), Moscow: Nauka, 1982.Google Scholar
  3. 3.
    Sushkevich, T.A., Matematicheskie modeli perenosa izlucheniya (Simulators of Radiation Transfer), Moscow: BINOM, 2006.Google Scholar
  4. 4.
    Lelikova, E.F., Rubina, L.I., Ul’yanov, O.N., et al., Numerical Simulation of Radiation Transfer on Multiprocessor Computer Systems, Alg. Progr. Sredstva Parall. Vychisl., 2000, no. 4, pp. 196–249.Google Scholar
  5. 5.
    Lelikova, E.F., Rubina, L.I., Ul’yanov, O.N., and Chashchin, M.A., Development of the Technique for Solving Radiation Transfer Problems on Multiprossecor Computer Systems, Alg. Progr. Sredstva Parall. Vychisl., 2001, no. 5, pp. 188–210.Google Scholar
  6. 6.
    Lelikova, E.F., Rubina, L.I., Ul’yanov, O.N., and Chashchin, M.A., Parallel Computer Technologies in the Problem of Radiation Transfer, Vopr. Atom. Nauki Tekh., Ser.: Mat. Model. Fiz. Prots., 2002, no. 3, pp. 3–13.Google Scholar
  7. 7.
    Lelikova, E.F., Rubina, L.I., Ul’yanov, O.N., and Chashchin, M.A., Numerical Simulation of Radiation Transfer Processes, Vest. USTU-UPI. Inform. Sist. Tekh. Radiotekh., Svayzi, Avtom., Upravl., Ser.: Radiotekh., 2005, no. 17, pp. 283–294.Google Scholar
  8. 8.
    Nikiforov, A.F., Novikov, V.G., and Uvarov, V.B., Kvantovo-statisticheskie modeli vysokotemperaturnoi plazmy i metody rascheta rosselandovykh probegov i uravnenii sostoyaniya (Quantum-Statistical Models of High-Temperature Plasma and Computing Methods for Rosseland Length and State Equations), Moscow: Nauka, 2000.Google Scholar
  9. 9.
    Krylov, V.I., Priblizhennoe vychislenie integralov (Approximate Computation of Integrals), Moscow: Nauka, 1967.Google Scholar
  10. 10.
    Library of Numerical Analysis, Research Computer Center, Moscow State University, manucript is available at: http://www.srcc.msu.su/num anal.
  11. 11.
    Mal’tsev, V.A., The Lagrange-Chebyshev Polynomial Method, in Priblizhennye metody resheniya kraevykh zadach mekhaniki sploshnoi sredy (Approximate Methods for Solving Boundary-Value Problems of Continuum Mechanics), Sverdlovsk, 1985, pp. 46–51.Google Scholar
  12. 12.
    Message Passing Interface, manuscript is available at: http://www.mpi-forum.org/.
  13. 13.
    DVM System, manuscript is available at: http://www.keldysh.ru/dvm/.

Copyright information

© Pleiades Publishing, Ltd. 2007

Authors and Affiliations

  • E. F. Lelikova
    • 1
  • L. I. Rubina
    • 1
  • O. N. Ul’yanov
    • 1
  • M. A. Chashchin
    • 1
  1. 1.Institute of Mathematics and Mechanics, Ural BranchRussian Academy of SciencesYekaterinburgRussia

Personalised recommendations