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Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions

Author
Coppola, A.; Codina, R.
Type of activity
Journal article
Journal
International journal for numerical methods in fluids
Date of publication
2005-12
Volume
49
Number
12
First page
1287
Last page
1304
DOI
https://doi.org/10.1002/fld.963 Open in new window
URL
http://onlinelibrary.wiley.com/doi/10.1002/fld.963/abstract Open in new window
Abstract
In this paper we present a problem we have encountered using a stabilized finite element method on fixed grids for flows with interfaces modelled with the level set approach. We propose a solution based on enriching the pressure shape functions on the elements cut by the interface. The enrichment is used to enable the pressure gradient to be discontinuous at the interface, thus improving the ability to simulate the behaviour of fluids with different density under a gravitational force. The addit...
Keywords
discontinuous gradient shape functions, incompressible two-phase flows, level set, stabilized finite element methods
Group of research
(MC)2 - Group of Computational Mechanics on Continuous Medium
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants