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

- Volume: 47, Issue: 3, page 743-769
- ISSN: 0764-583X

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topSalgado, Abner J.. "A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.3 (2013): 743-769. <http://eudml.org/doc/273294>.

@article{Salgado2013,

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.},

author = {Salgado, Abner J.},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {Navier Stokes; Cahn Hilliard; multiphase flow; contact line; fractional time-stepping; Navier-Stokes; Cahn-Hilliard},

language = {eng},

number = {3},

pages = {743-769},

publisher = {EDP-Sciences},

title = {A diffuse interface fractional time-stepping technique for incompressible two-phase flows with moving contact lines},

url = {http://eudml.org/doc/273294},

volume = {47},

year = {2013},

}

TY - JOUR

AU - Salgado, Abner J.

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2013

PB - EDP-Sciences

VL - 47

IS - 3

SP - 743

EP - 769

AB - 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.

LA - eng

KW - Navier Stokes; Cahn Hilliard; multiphase flow; contact line; fractional time-stepping; Navier-Stokes; Cahn-Hilliard

UR - http://eudml.org/doc/273294

ER -

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