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.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.date.updated

2021-07-20T14:41:08Z

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.identifier.issn

0021-9991

dc.identifier.issn

1090-2716

dc.identifier.uri

https://hdl.handle.net/10161/23461

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

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Technology

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Physical Sciences

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Computer Science, Interdisciplinary Applications

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Physics, Mathematical

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Computer Science

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Physics

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Energy stability

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Moving contact lines

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Large density ratio

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Phase-field method

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Quasi-incompressible

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C(0 )finite element

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LATTICE BOLTZMANN MODEL

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CAHN-HILLIARD

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2-PHASE FLOWS

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NUMERICAL APPROXIMATIONS

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VARIATIONAL APPROACH

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DIFFERENCE SCHEME

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COMPLEX FLUIDS

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2ND-ORDER

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INTERFACE

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CONVERGENCE

dc.title

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

dc.type

Journal article

duke.contributor.orcid

Xu, S|0000-0002-8207-7313

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

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