A continuous surface tension force formulation for diffuse-interface models

Research output: Contribution to journalArticle

121 Citations (Scopus)

Abstract

We present a new surface tension force formulation for a diffuse-interface model, which is derived for incompressible, immiscible Navier-Stokes equations separated by free interfaces. The classical infinitely thin boundary of separation between the two immiscible fluids is replaced by a transition region of small but finite width, across which the composition of the one of two fluids changes continuously. Various versions of diffuse-interface methods have been used successfully for the numerical simulations of two phase fluid flows. These methods are robust, efficient, and capable of computing interface singularities such as merging and pinching off. But prior studies used modified surface tension force formulations, therefore it is not straightforward to calculate pressure field because pressure includes the gradient terms resulting from the modified surface tension term. The new formulation allows us to calculate the pressure field directly from the governing equations. Computational results showing the accuracy and effectiveness of the method are given for a drop deformation and Rayleigh capillary instability.

Original languageEnglish
Pages (from-to)784-804
Number of pages21
JournalJournal of Computational Physics
Volume204
Issue number2
DOIs
Publication statusPublished - 2005 Apr 10
Externally publishedYes

Fingerprint

Surface tension
interfacial tension
formulations
pressure distribution
Fluids
Merging
Navier Stokes equations
Flow of fluids
fluids
Navier-Stokes equation
fluid flow
Computer simulation
Chemical analysis
gradients
simulation

Keywords

  • Continuum surface tension
  • Diffuse-interface
  • Phase field

ASJC Scopus subject areas

  • Computer Science Applications
  • Physics and Astronomy(all)

Cite this

A continuous surface tension force formulation for diffuse-interface models. / Kim, Junseok.

In: Journal of Computational Physics, Vol. 204, No. 2, 10.04.2005, p. 784-804.

Research output: Contribution to journalArticle

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