Advertisement

Numerical Implementation of Free Surface Flow Algorithms

  • Hasan N. Oguz
  • Jun Zeng
Conference paper
Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 456)

Abstract

The numerical implementation details of the front tracking and the boundary integral methods are given. The front tracking method is applicable to multiphase flow problems with moving boundaries at moderate Reynolds numbers. It is based on an Eulerian grid on which a moving front is explicitly defined by a finite element style representation of the surface. This feature is also found in the boundary element method that is used for the simulation of free surface problems where vorticity is negligibly small. Both methods are applicable to three dimensional flows. An axisymmetric version of the boundary integral method is also discussed. Special aspects of the algorithms associated with these methods are explained.

Keywords

Collocation Point Quadrilateral Element Quadrature Point Front Tracking Boundary Integral Method 
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Boulton-Stone, J., and Blake, J. (1993). Gas bubbles bursting at a free-surface. J. Fluid Mech. 254:437–466.CrossRefMATHGoogle Scholar
  2. Dommermuth, D., and Yue, D. (1987). Numerical simulations of nonlinear axisymmetric flows with a free surface. J. Fluid Mech. 178:195–219.CrossRefMATHGoogle Scholar
  3. Dommermuth, D., Yue, D., Lin, W., Rapp, R., Chan, E., and Melville, W. (1988). Deep-water plunging breakers: a comparison between potential theory and experiments. J. Fluid Mech. 189:423–442.CrossRefMATHGoogle Scholar
  4. Esmaeli, A., and Tryggvason, G. (1998). Direct numerical simulation of bubbly flows. Part I. Low Reynolds number arrays. J. Fluid Mech. 377:313–345.CrossRefGoogle Scholar
  5. Esmaeli, A., and Tryggvason, G. (1999). Direct numerical simulation of bubbly flows. Part II. Moderate Reynolds number arrays. J. Fluid Mech. 385:325–358.CrossRefGoogle Scholar
  6. Longuet-Higgins, M., and Cokelet, E. (1976). The deformation of steep surface waves on water, i.numerical method of computation. Proc. R. Soc. Lond. A350:1–26.MathSciNetCrossRefMATHGoogle Scholar
  7. Lundgren, T., and Mansour, N. (1988). Oscillations of drops in zero gravity with weak viscous effects. J. Fluid Mech. 194:479–510.MathSciNetCrossRefMATHGoogle Scholar
  8. Oguz, H., and Prosperetti, A. (1989). Surface-tension effects in the contact of liquid surfaces. J. Fluid Mech. 203:149–171.CrossRefGoogle Scholar
  9. Oguz, H., and Prosperetti, A. (1990). Bubble entrainment by the impact of drops on liquid surfaces. J. Fluid Mech. 219:143–179.MathSciNetCrossRefGoogle Scholar
  10. Oguz, H., and Prosperetti, A. (1993). Dynamics of bubble growth and detachment from a needle. J. Fluid Mech. 257:111–145.CrossRefGoogle Scholar
  11. Oguz, H., and Zeng, J. (1997). Axisymmetric and three-dimensional boundary integral simulations of bubble growth from an underwater orifice. Engineering Analysis with Boundary Elements J. 319–330.Google Scholar
  12. Pozrikidis, C. (1992). Boundary integral and singularity methods for linearized viscous flow. Cambridge University Press : Cambridge.CrossRefMATHGoogle Scholar
  13. Shewchuk, J. R. (1996). Robust Adaptive Floating-Point Geometric Predicates. In Proceedings of the Twelfth Annual Symposium on Computational Geometry, 141–150. Association for Computing Machinery.CrossRefGoogle Scholar
  14. Unverdi, S., and Tryggvason, G. (1992). A front-tracking method for viscous, incompressible, multi-fluid flows. J. Comp. Phys. 100:25–37.CrossRefMATHGoogle Scholar

Copyright information

© Springer-Verlag Wien 2002

Authors and Affiliations

  • Hasan N. Oguz
    • 1
    • 3
  • Jun Zeng
    • 2
  1. 1.Applied Physics Laboratory LaurelJohns Hopkins UniversityUSA
  2. 2.Microcosm Technologies Inc.CambridgeUSA
  3. 3.Department of Mechanical EngineeringJohns Hopskins UniversityBaltimoreUSA

Personalised recommendations