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A Finite Element Based Level-Set Method for Multiphase Flows
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA (closed 2012-06-30).
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA (closed 2012-06-30).
2002 (English)Conference paper (Refereed)
Abstract [en]

A numerical method for simulating incompressible two-dimensional multiphase flow is presented. The method is based on a level-set formulation discretized by a finite-element technique. The treatment of the specific features of this problem, such as surface tension forces acting at the interfaces separating two immiscible fluids, as well as the density and 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, the singular surface tension forces are included through line integrals along the interfaces, which are easily approximated quantities. In addition, differentiation of the discontinuous viscosity is avoided. The discontinuous density and viscosity are included in the finite element integrals. A strategy for the evaluation of integrals with discontinuous integrands has been developed based on a rigorous analysis of the errors associated with the evaluation of such integrals. Numerical tests have been performed. For the case of a rising buoyant bubble the results are in good agreement with results from a front-tracking method. The run presented here is a run including topology changes, where initially separated areas of one fluid merge in different stages due to buoyancy effects.

Place, publisher, year, edition, pages
2002. 86-110 p.
National Category
Computer and Information Science
URN: urn:nbn:se:kth:diva-90555OAI: diva2:505867
In proceedings of the Conference on Progress in Numerical Solutions of Partial Differential Equations

QC 20130123

Available from: 2012-02-26 Created: 2012-02-26 Last updated: 2013-01-23Bibliographically approved

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Tornberg, Anna KarinEngquist, Björn
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Numerical Analysis, NA (closed 2012-06-30)
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ReferencesLink to record
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