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A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines∗

Published online by Cambridge University Press:  29 March 2013

Abner J. Salgado
Abner J. Salgado*
Affiliation:
Department of Mathematics, University of Maryland, College Park, MD 20742, USA. abnersg@math.umd.edu
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Abstract

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.

Keywords

Navier StokesCahn Hilliardmultiphase flowcontact linefractional time-stepping
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 47 , Issue 3 , May 2013 , pp. 743 - 769
Copyright
© EDP Sciences, SMAI, 2013

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