Third M.I.T. Conference on Computational Fluid and Solid Mechanics June 14–17, 2005  

Modeling of three-dimensional bubbly flows with a mass-conserving level-set method

S.P. van der Pijl*, A. Segal, C. Vuik
Delft University of Technology, Department of Applied Mathematical Analysis, Mekelweg 4, 2628 CD Delft, The Netherlands

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In this work incompressible two-phase flows are considered. The aim is to model high density-ratio flows with arbitrary complex interface topologies, such as occur in air/water flows. Between the phases a sharp front exists, where density and viscosity change abruptly.

The computational method used in this paper is the mass conserving level-set method. It is based on the level-set methodology, using a volume-of-fluid (VOF) function to conserve mass. This function is advected without the necessity to reconstruct the interface. The ease of the method is based on an explicit relationship between the VOF function and the level-set function. The method is straightforward to apply to arbitrarily shaped interfaces, which may collide and break up.

Keywords:  Level-set; Volume-of-fluid; Incompressible; Multi-phase; Navier-Stokes; Bubbles

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