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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