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Modeling of Multi-Phase Flows with a Level-Set Method

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • Sander P. van der Pijl

    (Delft University of Technology)

  • A. Segal

    (Delft University of Technology)

  • C. Vuik

    (Delft University of Technology)

Abstract

Summary Multi-phase flows are frequently modeled in engineering fluid mechanics. In this work incompressible two-phase flows are considered. The present research aims to model high density-ratio flows with complex interface topologies, typically air/water flows. Applications are mixtures of bubbles and droplets. Aspects which are taken into account are: a sharp front (density changes rapidly), arbitrary shaped interfaces, surface tension, buoyancy and coalescence of drops/bubbles. Attention is paid to mass-conservation and integrity of the interface. A survey of available computational methods is performed in [1]. The computational method used in this paper is the Mass Conserving Level-Set method (MCLS, [2]). The MCLS method is based on the Level-Set methodology, using a VOF-function to conserve mass. This function is advected without the necessity to reconstruct the interface. The ease of MCLS is based on an explicit relationship between the Volume-of-Fluid function and the Level-Set function. The method is straightforward to apply to arbitrarily shaped interfaces, which may collide and break up.

Suggested Citation

  • Sander P. van der Pijl & A. Segal & C. Vuik, 2004. "Modeling of Multi-Phase Flows with a Level-Set Method," Springer Books, in: Miloslav Feistauer & Vít Dolejší & Petr Knobloch & Karel Najzar (ed.), Numerical Mathematics and Advanced Applications, pages 698-707, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-18775-9_68
    DOI: 10.1007/978-3-642-18775-9_68
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