| Issue |
ESAIM: M2AN
Volume 47, Number 3, May-June 2013
|
|
|---|---|---|
| Page(s) | 743 - 769 | |
| DOI | https://doi.org/10.1051/m2an/2012047 | |
| Published online | 29 March 2013 | |
A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines∗
Department of Mathematics, University of Maryland,
College Park, MD
20742,
USA
abnersg@math.umd.edu
Received: 17 February 2012
Revised: 29 June 2012
For a two phase incompressible flow we consider a diffuse interface model aimed at addressing the movement of three-phase (fluid-fluid-solid) contact lines. The model consists of the Cahn Hilliard Navier Stokes system with a variant of the Navier slip boundary conditions. We show that this model possesses a natural energy law. For this system, a new numerical technique based on operator splitting and fractional time-stepping is proposed. The method is shown to be unconditionally stable. We present several numerical illustrations of this scheme.
Mathematics Subject Classification: 35Q30 / 76D27 / 76T99 / 65N12
Key words: Navier Stokes / Cahn Hilliard / multiphase flow / contact line / fractional time-stepping
© EDP Sciences, SMAI, 2013
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