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

2005; Wiley; Volume: 49; Issue: 12 Linguagem: Inglês

10.1002/fld.963

1097-0363

A. H. Coppola‐Owen, Ramon Codina,

Lattice Boltzmann Simulation Studies

International Journal for Numerical Methods in FluidsVolume 49, Issue 12 p. 1287-1304 Research Article Improving Eulerian two-phase flow finite element approximation with discontinuous gradient pressure shape functions A. H. Coppola-Owen, A. H. Coppola-Owen [email protected] Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, SpainSearch for more papers by this authorR. Codina, Corresponding Author R. Codina [email protected] Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain http://www.rmee.upc.es/homes/codinaUniversitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain===Search for more papers by this author A. H. Coppola-Owen, A. H. Coppola-Owen [email protected] Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, SpainSearch for more papers by this authorR. Codina, Corresponding Author R. Codina [email protected] Universitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain http://www.rmee.upc.es/homes/codinaUniversitat Politècnica de Catalunya, Jordi Girona 1-3, Edifici C1, 08034 Barcelona, Spain===Search for more papers by this author First published: 23 August 2005 https://doi.org/10.1002/fld.963Citations: 55 AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL 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 additional shape function used is local to each element and the corresponding degree of freedom can therefore be condensed prior to assembly, making the implementation quite simple on any existing finite element code. Copyright © 2005 John Wiley & Sons, Ltd. Citing Literature Volume49, Issue1230 December 2005Pages 1287-1304 RelatedInformation