Multi-Dimensional Problems. Study of Free Jet Flows

  • V. V. Aristov
Part of the Fluid Mechanics and its Applications book series (FMIA, volume 60)

Abstract

For many years the question was: is it possible in principle to solve the Boltzmann equation by direct integration for complicated three-dimensional problems? The practical possibilities lay in the use of simulation methods. However, construction of the conservative methods and application of new computers allowed acceptable solutions to be obtained with the use of coarse grids in different complex problems.

Keywords

Argon Dinate 

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References

  1. 1.
    Aristov V.V., Tcheremissine F.G. (1992) Direct numerical solving the Boltzmann kinetic equation. Computing Center of the Russian Academy of Sciences, Moscow.Google Scholar
  2. 2.
    Aristov V.V. (1994) Study of some gas flows on the basis of the Boltzmann equation, Communications on Applied Mathematics, Preprint, Computing Center of the Russian Academy of Sciences, Moscow.Google Scholar
  3. 3.
    Aristov V.V. (1995) Numerical analysis of freejets at small Knudsen numbers, Rarefied Gas Dynamics, Oxford University Press Vol. no. 2. pp. 1293–1299.Google Scholar
  4. 4.
    Aristov V.V. (1997) Instabilities in jets at small Knudsen numbers, Rarefied Gas Dynamics, Shen C. ed., Peking University Press, pp. 315–320.Google Scholar
  5. 5.
    Aristov V.V. (1998) Study of stable and unstable jet flows on the basis of the Boltzmann equation. Fluid Dynamics, Vol. no. 33, pp. 280–283.MathSciNetADSMATHCrossRefGoogle Scholar
  6. 6.
    Aristov V.V., Zabelok S.A. (1998) Parallel algorithms in the conservative splitting method for the Boltzmann equation. Lecture Notes in Physics. Vol. no. 515, Springer, Berlin, pp. 361–366.Google Scholar
  7. 7.
    Adamson T.C., Nicholis J.A. (1959) On the structure of jets from highly underex-panded nozzles into still air, J.Aerosol Sci., Vol. no. 26, pp. 16–28.MATHGoogle Scholar
  8. 8.
    Dulov V.P., Lukianov M.V. (1984) Gasodynamics of issue processes. Nauka, Novosibirsk.Google Scholar
  9. 9.
    Nelson D.A., Doo Y.C. (1989) Simulation of multicomponent nozzle flows into a vacuum, Progr.in Astronaut. and Aeronaut,. Vol. no. 116, pp. 340–351.ADSGoogle Scholar
  10. 10.
    Teshima K., Usami M. (1997) Characteristics of supersonic jet flows and DSMC analysis, Rarefied Gas Dynamics, Shen C. ed., Peking University Press, pp. 387–394.Google Scholar
  11. 11.
    Skovorodko P.A, Lengrand J.-C. (1990) Computation of plume flow exhausting into a vacuum, including the corresponding viscous flow in the nozzle, CNRS, Laboratoire d’aerothermique, Meudon, R 90–9.Google Scholar
  12. 12.
    Ivanov M.S., Rogasinskii S.V. (1988) Method of direct statistical simulation in rarefied gas dynamics. Computing Center of the Siberian Branch of the USSR Academy Sciences, Novosibirsk.Google Scholar
  13. 13.
    Teshima K. (1991) Three-dimensional characteristics of supersonic jets, Rarefied Gas Dynamics, Beylich A. ed., Weinheim. VCH, pp. 1042–1048.Google Scholar
  14. 14.
    Koshmarov Ju.A., Ryzhov Ju.A. (1977) Applied rarefied gas dynamics. Mashinos-troenie, Moscow (in Russian).Google Scholar
  15. 15.
    Weaver D.P., Muntz E.P. (1994) Direct simulation Monte Carlo calculations compared with sonic orifice expansion flows of argon and N 2, Progr. in Astronaut, and Aeronaut., Washington. Vol. 159, pp. 68–77Google Scholar
  16. 16.
    Mombo-Caristan J.C. et al. (1989) Measurements of freejet densities by laser beam deiation, AIAA, Progr. in Astronaut, and Aeronaut., Washington, Vol. 117, pp. 140–148.Google Scholar
  17. 17.
    Kovalev B.D., Myshenkov V.I. (1978) Expansion of viscous supersonic jet issued into a fluid-filled space, Uchen. zap. TZAGI, Vol. no. 9, pp. 9–18.Google Scholar
  18. 18.
    Kobayashi H., Nakagawa T. and Nishida M. (1984) Density measurement in freejets by laser interferometry, Rarefied Gas Dynamics, University Tokyo Press., pp. 501–508.Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • V. V. Aristov
    • 1
  1. 1.Computing Center of the Russian Academy of SciencesMoscowRussia

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