Skip to main content

Parallel computations of droplet oscillations

  • Conference paper
  • First Online:
Parallel Computational Fluid Dynamics 2007

Part of the book series: Lecture Notes in Computational Science and Engineering ((LNCSE,volume 67))

Abstract

Abstract: Three-dimensional oscillations of a liquid droplet are simulated numerically using the level set method. It is shown that the oscillation frequency decreases as the amplitude increases and the frequency shift is overestimated by the theoretical prediction. Parallel computations are performed, and the effects of three preconditioners for the Bi-CGSTAB method on speed up are discussed.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Rhim, W. K., and Chung, S. K. 1990. Methods, 1, 118–127

    Article  Google Scholar 

  2. Shatrov, V., Priede, J., and Gerbeth, G. 2003. Phys. Fluid, 15, 668–678

    Article  MathSciNet  Google Scholar 

  3. Lamb, H. 1932. Hydrodynamics. Cambridge University Press.

    Google Scholar 

  4. Azuma, H., and Yoshihara, S. 1999. J. Fluid Mech., 393, 309–332.

    Article  MATH  Google Scholar 

  5. Sussman, M., and Smereka, P. 1997. J. Fluid Mech., 341, 269–294.

    Article  MathSciNet  MATH  Google Scholar 

  6. Benzi, M. 2002. J. Comp. Phys., 182, 418–477.

    Article  MathSciNet  MATH  Google Scholar 

  7. Amsden, A. A. and Harlow, F. H., J. Comp. Phys. 6, 322(1970).

    Article  MATH  Google Scholar 

  8. Chang, Y. C., Hou, T. Y., Merriman, B., and Osher, S. 1996. J. Comp. Phys., 124, 449–464

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2009 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Watanabe, T. (2009). Parallel computations of droplet oscillations. In: Parallel Computational Fluid Dynamics 2007. Lecture Notes in Computational Science and Engineering, vol 67. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-92744-0_20

Download citation

Publish with us

Policies and ethics