Modeling of three-dimensional multi-phase flows with a mass-Conserving Level-Set method

Modeling of three-dimensional multi-phase flows with a mass-Conserving Level-Set method

van der Pijl, S.P.
Segal, A.
Vuik, C.

Electrical Engineering, Mathematics and Computer Science

2006

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 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 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. In this work special attention is paid on the extension of the MCLS method to three dimensional problems, re-initialization of the Level-Set function, redistribution of mass errors and computation of curvature.

http://resolver.tudelft.nl/uuid:e19268d2-339a-491e-b7aa-323812849d9b

Delft University of Technology, Faculty of Electrical Engineering, Mathematics and Computer Science, Delft Institute of Applied Mathematics

1389-6520

Reports of the Department of Applied Mathematical Analysis, 06-10

Institutional Repository

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(c) 2006 van der Pijl, S.P.; Segal, A.; Vuik, C.