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A finite element based level-set method for multi-phase flow applications
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2000 (English)In: Computing and Visualization in Science, ISSN 1432-9360, E-ISSN 1433-0369, Vol. 3, no 1-2, 93-101 p.Article in journal (Refereed) Published
Abstract [en]

A numerical method for simulating incompressibletwo-dimensional multiphase flow is presented. The methodis based on a level-set formulation discretized by a finiteelementtechnique. The treatment of the specific features ofthis problem, such as surface tension forces acting at the interfacesseparating two immiscible fluids, as well as the densityand viscosity jumps that in general occur across such interfaces,have been integrated into the finite-element framework.Using a method based on the weak formulation of the Navier-Stokes equations has its advantages. In this formulation, thesingular surface tension forces are included through line integralsalong the interfaces, which are easily approximatedquantities. In addition, differentiation of the discontinuousviscosity is avoided. The discontinuous density and viscosityare included in the finite element integrals. A strategy forthe evaluation of integrals with discontinuous integrands hasbeen developed based on a rigorous analysis of the errors associatedwith the evaluation of such integrals. Numerical testshave been performed. For the case of a rising buoyant bubblethe results are in good agreement with results from a fronttrackingmethod. The run presented here is a run includingtopology changes, where initially separated areas of one fluidmerge in different stages due to buoyancy effects.

Place, publisher, year, edition, pages
2000. Vol. 3, no 1-2, 93-101 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90314DOI: 10.1007/s007910050056OAI: diva2:504877
NR 20140805Available from: 2012-02-22 Created: 2012-02-22 Last updated: 2012-02-26Bibliographically approved

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Tornberg, Anna KarinEngquist, Björn
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