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ELAFINT : A computational method for fluid flows with free and moving boundaries

  • H. S. Udaykumar
  • W. Shyy
3. Numerical Methods for Aerodynamic Design c) Boundary Conditions
Part of the Lecture Notes in Physics book series (LNP, volume 453)

Abstract

A computational technique called ELAFINT has been developed to handle the existence of highly deformed moving and free boundaries. These boundaries or interfaces cut through an underlying cartesian grid, leading to irregularly shaped control volumes in the vicinity of the interface. A method to reassemble these control volumes to maintain flux conservation has been designed. The accuracy of the methods at each stage of the development have been assessed. Currently highly deformed, moving interfaces with phase change can be tracked in conjunction with an implicit pressure-based Navier-Stokes equation solver. This methodology can be applied to solve fluid flow problmes in complex geometries.

Keywords

Rayleigh Number Control Volume Interface Position Interface Shape Drive Cavity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Langer,J.S., 1980, “Instabilities and pattern formulation in crystal growth,” Rev. Mod.Phys., Vol. 52, No. 1, pp.1–56.CrossRefGoogle Scholar
  2. 2.
    Kessler,D.A., Koplik,J. and Levine, H., 1988, “Pattern selection in fingered growth phenomena,” Advances in Physics, Vol.37, No. 11, pp.255–339.Google Scholar
  3. 3.
    Nakaya,U., 1954, Show Crystals, Harvard University Press, Cambridge, MA.Google Scholar
  4. 4.
    Mullins,W.W. and Sekerka,R.F., 1964, “Stability of a planar interface during solidification of a dilute binary alloy,“ J.Appl. Phys., Vol.3, pp.444–451.CrossRefGoogle Scholar
  5. 5.
    Glicksman,M.E., Coriell,S.R., and McFadden,G.B., 1986,“Intercation of flows with the crystal melt interface,“ Ann. Rev. Fluid Mech., Vol. 18, pp307–336.CrossRefGoogle Scholar
  6. 6.
    Shyy.W., Udaykumar,H.S., and Liang,S.-J., 1993,“An interface tracking method applied to morphological evolution during phase change,” Int. J. Heat Mass Transf., Vol 36, No. 7, pp. 1833–1844.CrossRefGoogle Scholar
  7. 7.
    DeGregoria,A.J. and Schwartz,L.W., 1986,“A boundary integral method for two-phase displacement in Hele-Shaw cells,” J.Fluid Mech., vol. 164, pp.383–400.Google Scholar
  8. 8.
    Glimm,J., McBryan,O., Melnikoff,R. and Sharp,D.H., 1986,“Front tracking applied to Rayleigh-Taylor instability,” SIAM J.Sci.Stat.Comput., Vol.7, No. 1, pp.230–251.CrossRefGoogle Scholar
  9. 9.
    Hirt,C.W. and Nichols,B.D., 1981,“Volume of fluid (VOF) methods for the dynamics of free boundaries,” J.Comp.Phys., Vol.39,pp.201–225.CrossRefGoogle Scholar
  10. 10.
    Sethian,J.A. and Strain.J., 1982,“Crystal growth and dendritic solidification,” J.Comp.Phys, Vol.98, No.2,pp.231–253.CrossRefGoogle Scholar
  11. 11.
    Wheeler,A.A., Murray,B.T. and Schaefer,R.J., 1993, “Computation of dendrites using a phase field model,” to appear in Physics D.Google Scholar
  12. 12.
    H.S.Udaykumar and Shyy, W., 1993, “Development of a grid-support marker particle scheme for interface tracking,” presented at the 11th AIAA Comp. Fluid Dyn. Conf; Paper No. AIAA-93-3384, Orlando, Florida, USA.Google Scholar
  13. 13.
    Patankar, S.V., 1980, “Numerical Heat Transfer and Fluid Flow”, Hemisphere Publicating, New York.Google Scholar
  14. 14.
    Udaykumar, H.S., 1994, PhD Dissertation, Department of Aerospace Engineering, Mechanics and Engineering Science, University of Florida, Gainesville.Google Scholar
  15. 15.
    Shyy, W. and Rao, M.M., 1994, “Enthalpy based formulations for phase change problems with application to g-jitter,” Microgravity Sci. and Tech., Vol.7, pp. 41–49.Google Scholar
  16. 16.
    Shyy. W., 1994, “Computational Modelling for Fluid Flow and Interfacial Transport,” Elsevier, Amsterdam, Netherlands.Google Scholar

Copyright information

© Springer-Verlag 1995

Authors and Affiliations

  • H. S. Udaykumar
    • 1
  • W. Shyy
    • 1
  1. 1.Department of Aerospace EngineeringMechanics and Engineering Science University of FloridaGainesvilleFL

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