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A Nitsche method for a Stokes interface problem
Jönköping University, School of Engineering, JTH, Mechanical Engineering.
(English)Manuscript (preprint) (Other academic)
Abstract [en]

We present a finite element method for the Stokes equations involving two immiscible incompressible fluids with different viscosities and with surface tension. The interface separating the two fluids does not need to align with the mesh. We propose a Nitsche formulation which allows for discontinuities along the interface with optimal a priori error estimates. A stabilization procedure is included which ensures that the method produces a well conditioned stiffness matrix independent of the location of the interface. 

Keyword [en]
Finite element method, Nitsche, Two-phase flow, Stokes, Discontinuous viscosity, Surface tension, Sharp interface method
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:hj:diva-18115OAI: oai:DiVA.org:hj-18115DiVA: diva2:528716
Available from: 2012-05-28 Created: 2012-05-28

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Other links

http://arxiv.org/abs/1205.5684

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Hansbo, Peter
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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
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  • nn-NO
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