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SUMMARY When simulating free-surface flows using the finite element method, there are many cases where the governing equations require information which must be derived from the available discretized geometry. Examples are curvature or normal vectors. The accurate computation of this information directly from the finite element mesh often requires a high(More)
In immiscible two-phase flows, jumps or kinks are present in the velocity and pressure fields across the interfaces of the two fluids. The extended finite element method (XFEM) is able to reproduce such discontinuities within elements. Robust and accurate interface capturing schemes with no restrictions on the interface topology are thereby enabled. This(More)
Based on a validated two-dimensional XFEM code for two-phase flows, this work deals with the extension of this code to three spatial dimensions using structured hexahedral meshes. Surface tension effects are considered, resulting in a discontinuous pressure field. The treatment of hexahedral elements which are cut by the interface is shown. In contrast to(More)
The aim of this thesis is the development of a flexible and accurate numerical approach for the simulation of industrially relevant three-dimensional two-phase and free-surface flow problems. The Navier-Stokes equations are discretized using a stabilized finite element method on hexahedral meshes. A flexible description of the interface is achieved by means(More)
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