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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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