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An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density

dc.contributor.author Shen, L
dc.contributor.author Huang, H
dc.contributor.author Lin, P
dc.contributor.author Song, Z
dc.contributor.author Xu, S
dc.date.accessioned 2021-07-20T14:41:18Z
dc.date.available 2021-07-20T14:41:18Z
dc.date.issued 2020-03-15
dc.identifier.issn 0021-9991
dc.identifier.issn 1090-2716
dc.identifier.uri https://hdl.handle.net/10161/23461
dc.description.abstract In this paper, we focus on modeling and simulation of two-phase flow problems with moving contact lines and variable density. A thermodynamically consistent phase-field model with general Navier boundary condition is developed based on the concept of quasi-incompressibility and the energy variational method. A mass conserving C0 finite element scheme is proposed to solve the PDE system. Energy stability is achieved at the fully discrete level. Various numerical results confirm that the proposed scheme for both P1 element and P2 element are energy stable.
dc.language en
dc.publisher Elsevier BV
dc.relation.ispartof Journal of Computational Physics
dc.relation.isversionof 10.1016/j.jcp.2019.109179
dc.subject Science & Technology
dc.subject Technology
dc.subject Physical Sciences
dc.subject Computer Science, Interdisciplinary Applications
dc.subject Physics, Mathematical
dc.subject Computer Science
dc.subject Physics
dc.subject Energy stability
dc.subject Moving contact lines
dc.subject Large density ratio
dc.subject Phase-field method
dc.subject Quasi-incompressible
dc.subject C(0 )finite element
dc.subject LATTICE BOLTZMANN MODEL
dc.subject CAHN-HILLIARD
dc.subject 2-PHASE FLOWS
dc.subject NUMERICAL APPROXIMATIONS
dc.subject VARIATIONAL APPROACH
dc.subject DIFFERENCE SCHEME
dc.subject COMPLEX FLUIDS
dc.subject 2ND-ORDER
dc.subject INTERFACE
dc.subject CONVERGENCE
dc.title An energy stable C<sup>0</sup> finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
dc.type Journal article
duke.contributor.id Xu, S|0972799
dc.date.updated 2021-07-20T14:41:08Z
pubs.begin-page 109179
pubs.end-page 109179
pubs.organisational-group Duke Kunshan University
pubs.organisational-group Duke Kunshan University Faculty
pubs.organisational-group Duke
pubs.publication-status Published
pubs.volume 405
duke.contributor.orcid Xu, S|0000-0002-8207-7313


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