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Eigenfrequencies of a viscous, incompressible fluid with a capillary free boundary

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Numerical Methods for Free Boundary Problems

Abstract

Oscillations of a viscous, incompressible liquid with a capillary free-boundary are studied by means of numerical techniques. Starting from the static equilibrium configuration of the system we study small oscillations of the system about this equilibrium. A finite-element discretization in conjunction with an inverse-iteration procedure is used for the calculation of the eigenmodes of the system.

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References

  1. N.H. Abramson (ed.), “The dynamic behavior of liquids in moving containers”, NASA SP-106 (1966).

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  2. C. Cuvelier and R.M.S.M. Schulkes, Some numerical methods for the computation of capillary free boundaries governed by the Navier-Stokes equations, SIAM Review 32 (3) (1990).

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  3. C. Cuvelier, A. Segal and A.A. van Steenhoven, “Finite-element methods and the NavierStokes equations”, Reidel, Dordrecht (1986).

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Authors and Affiliations

  1. Department of Mathematics Delft, University of Technology, P.O. Box 356, 2600, AJ, Delft, The Netherlands

    R. M. S. M. Schulkes & C. Cuvelier

  2. Joint Research Center, Ispra, I-21020, Varese, Italy

    R. M. S. M. Schulkes & C. Cuvelier

Authors
  1. R. M. S. M. Schulkes
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  2. C. Cuvelier
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Jyväskylä, P.O. Box 35, SF-40351, Jyväskylä, Finland

    P. Neittaanmäki

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© 1991 Springer Basel AG

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Schulkes, R.M.S.M., Cuvelier, C. (1991). Eigenfrequencies of a viscous, incompressible fluid with a capillary free boundary. In: Neittaanmäki, P. (eds) Numerical Methods for Free Boundary Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale d’Analyse Numérique, vol 99. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-5715-4_32

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  • DOI: https://doi.org/10.1007/978-3-0348-5715-4_32

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-5717-8

  • Online ISBN: 978-3-0348-5715-4

  • eBook Packages: Springer Book Archive

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