The extended finite element method for two-phase and free-surface flows: A systematic study

Authors:
Henning Sauerland;Thomas-Peter Fries
Affiliations:
Chair for Computational Analysis of Technical Systems, CCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany;Chair for Computational Analysis of Technical Systems, CCES, RWTH Aachen University, Schinkelstr. 2, 52062 Aachen, Germany
Venue:
Journal of Computational Physics
Year:
2011

Citing 8
Cited 1

A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. I: The concept and the preliminary numerical tests

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A new strategy for finite element computations involving moving boundaries and interfaces—the deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

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Analysis of an extended pressure finite element space for two-phase incompressible flows

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Abstract

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 paper investigates different enrichment schemes and time-integration schemes within the XFEM. Test cases with and without surface tension on moving or stationary meshes are studied and compared to interface tracking results when possible. A particularly useful setting is extracted which is recommended for two-phase flows. An extension of this formulation for the simulation of free-surface flows and of floating objects is proposed.