An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity

Handle URI:
http://hdl.handle.net/10754/597517
Title:
An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity
Authors:
Gao, Min; Wang, Xiao-Ping
Abstract:
In this paper, we develop an efficient numerical method for the two phase moving contact line problem with variable density, viscosity, and slip length. The physical model is based on a phase field approach, which consists of a coupled system of the Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition [1,2,5]. To overcome the difficulties due to large density and viscosity ratio, the Navier-Stokes equations are solved by a splitting method based on a pressure Poisson equation [11], while the Cahn-Hilliard equation is solved by a convex splitting method. We show that the method is stable under certain conditions. The linearized schemes are easy to implement and introduce only mild CFL time constraint. Numerical tests are carried out to verify the accuracy, stability and efficiency of the schemes. The method allows us to simulate the interface problems with extremely small interface thickness. Three dimensional simulations are included to validate the efficiency of the method. © 2014 Elsevier Inc.
Citation:
Gao M, Wang X-P (2014) An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity. Journal of Computational Physics 272: 704–718. Available: http://dx.doi.org/10.1016/j.jcp.2014.04.054.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
SA-C0040/UK-C0016
Issue Date:
Sep-2014
DOI:
10.1016/j.jcp.2014.04.054
Type:
Article
ISSN:
0021-9991
Sponsors:
This publication was based on work supported in part by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), the Hong Kong RGC-GRF Grants 605311, 605513 and NNSF of China Grant 91230102.
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorGao, Minen
dc.contributor.authorWang, Xiao-Pingen
dc.date.accessioned2016-02-25T12:41:17Zen
dc.date.available2016-02-25T12:41:17Zen
dc.date.issued2014-09en
dc.identifier.citationGao M, Wang X-P (2014) An efficient scheme for a phase field model for the moving contact line problem with variable density and viscosity. Journal of Computational Physics 272: 704–718. Available: http://dx.doi.org/10.1016/j.jcp.2014.04.054.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2014.04.054en
dc.identifier.urihttp://hdl.handle.net/10754/597517en
dc.description.abstractIn this paper, we develop an efficient numerical method for the two phase moving contact line problem with variable density, viscosity, and slip length. The physical model is based on a phase field approach, which consists of a coupled system of the Cahn-Hilliard and Navier-Stokes equations with the generalized Navier boundary condition [1,2,5]. To overcome the difficulties due to large density and viscosity ratio, the Navier-Stokes equations are solved by a splitting method based on a pressure Poisson equation [11], while the Cahn-Hilliard equation is solved by a convex splitting method. We show that the method is stable under certain conditions. The linearized schemes are easy to implement and introduce only mild CFL time constraint. Numerical tests are carried out to verify the accuracy, stability and efficiency of the schemes. The method allows us to simulate the interface problems with extremely small interface thickness. Three dimensional simulations are included to validate the efficiency of the method. © 2014 Elsevier Inc.en
dc.description.sponsorshipThis publication was based on work supported in part by Award No. SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST), the Hong Kong RGC-GRF Grants 605311, 605513 and NNSF of China Grant 91230102.en
dc.publisherElsevier BVen
dc.subjectCahn-Hilliard equationen
dc.subjectLarge density ratioen
dc.subjectMoving contact lineen
dc.subjectNavier-Stokes equationsen
dc.subjectPhase fielden
dc.subjectPressure stabilization schemeen
dc.titleAn efficient scheme for a phase field model for the moving contact line problem with variable density and viscosityen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionHong Kong University of Science and Technology, Hong Kong, Chinaen
kaust.grant.numberSA-C0040/UK-C0016en
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.