A least-squares/finite element method for the numerical solution of the Navier–Stokes-Cahn–Hilliard system modeling the motion of the contact line

Handle URI:
http://hdl.handle.net/10754/600238
Title:
A least-squares/finite element method for the numerical solution of the Navier–Stokes-Cahn–Hilliard system modeling the motion of the contact line
Authors:
He, Qiaolin; Glowinski, Roland; Wang, Xiao Ping
Abstract:
In this article we discuss the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line separating two immiscible incompressible viscous fluids near a solid wall. The method we employ combines a finite element space approximation with a time discretization by operator-splitting. To solve the Cahn-Hilliard part of the problem, we use a least-squares/conjugate gradient method. We also show that the scheme has the total energy decaying in time property under certain conditions. Our numerical experiments indicate that the method discussed here is accurate, stable and efficient. © 2011 Elsevier Inc.
Citation:
He Q, Glowinski R, Wang X-P (2011) A least-squares/finite element method for the numerical solution of the Navier–Stokes-Cahn–Hilliard system modeling the motion of the contact line. Journal of Computational Physics 230: 4991–5009. Available: http://dx.doi.org/10.1016/j.jcp.2011.03.022.
Publisher:
Elsevier BV
Journal:
Journal of Computational Physics
KAUST Grant Number:
SA-C0040; UK-C0016
Issue Date:
Jun-2011
DOI:
10.1016/j.jcp.2011.03.022
Type:
Article
ISSN:
0021-9991
Sponsors:
QL He and XP Wang are supported in part by Hong Kong RGC-CERG Grants 603107 and 604209. QL He is supported in part by Youth Foundation of Sichuan University No 2010SCU11072. XPW is also supported in part by Award No SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST). R. Glowinski acknowledges the support of the Institute for Advanced Study (IAS) at The Hong Kong University of Science and Technology.
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Full metadata record

DC FieldValue Language
dc.contributor.authorHe, Qiaolinen
dc.contributor.authorGlowinski, Rolanden
dc.contributor.authorWang, Xiao Pingen
dc.date.accessioned2016-02-28T07:59:44Zen
dc.date.available2016-02-28T07:59:44Zen
dc.date.issued2011-06en
dc.identifier.citationHe Q, Glowinski R, Wang X-P (2011) A least-squares/finite element method for the numerical solution of the Navier–Stokes-Cahn–Hilliard system modeling the motion of the contact line. Journal of Computational Physics 230: 4991–5009. Available: http://dx.doi.org/10.1016/j.jcp.2011.03.022.en
dc.identifier.issn0021-9991en
dc.identifier.doi10.1016/j.jcp.2011.03.022en
dc.identifier.urihttp://hdl.handle.net/10754/600238en
dc.description.abstractIn this article we discuss the numerical solution of the Navier-Stokes-Cahn-Hilliard system modeling the motion of the contact line separating two immiscible incompressible viscous fluids near a solid wall. The method we employ combines a finite element space approximation with a time discretization by operator-splitting. To solve the Cahn-Hilliard part of the problem, we use a least-squares/conjugate gradient method. We also show that the scheme has the total energy decaying in time property under certain conditions. Our numerical experiments indicate that the method discussed here is accurate, stable and efficient. © 2011 Elsevier Inc.en
dc.description.sponsorshipQL He and XP Wang are supported in part by Hong Kong RGC-CERG Grants 603107 and 604209. QL He is supported in part by Youth Foundation of Sichuan University No 2010SCU11072. XPW is also supported in part by Award No SA-C0040/UK-C0016, made by King Abdullah University of Science and Technology (KAUST). R. Glowinski acknowledges the support of the Institute for Advanced Study (IAS) at The Hong Kong University of Science and Technology.en
dc.publisherElsevier BVen
dc.subjectCahn-Hilliarden
dc.subjectConjugate gradienten
dc.subjectContact lineen
dc.subjectLeast squaresen
dc.subjectNavier-Stokesen
dc.subjectOperator-splittingen
dc.titleA least-squares/finite element method for the numerical solution of the Navier–Stokes-Cahn–Hilliard system modeling the motion of the contact lineen
dc.typeArticleen
dc.identifier.journalJournal of Computational Physicsen
dc.contributor.institutionDepartment of Mathematics, Sichuan University, Chengdu 610064, Chinaen
dc.contributor.institutionDepartment of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
dc.contributor.institutionDepartment of Mathematics, University of Houston, Houston, TX 77204, United Statesen
dc.contributor.institutionInstitute of Advanced Study, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kongen
kaust.authorWang, Xiao-Pingen
kaust.grant.numberSA-C0040en
kaust.grant.numberUK-C0016en
kaust.grant.fundedcenterKAUST-HKUST Micro/Nanofluidic Joint Laboratoryen
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