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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

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Date
2020-03-15
Authors
Shen, L
Huang, H
Lin, P
Song, Z
Xu, S
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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.
Type
Journal article
Subject
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Physics, Mathematical
Computer Science
Physics
Energy stability
Moving contact lines
Large density ratio
Phase-field method
Quasi-incompressible
C(0 )finite element
LATTICE BOLTZMANN MODEL
CAHN-HILLIARD
2-PHASE FLOWS
NUMERICAL APPROXIMATIONS
VARIATIONAL APPROACH
DIFFERENCE SCHEME
COMPLEX FLUIDS
2ND-ORDER
INTERFACE
CONVERGENCE
Permalink
https://hdl.handle.net/10161/23461
Published Version (Please cite this version)
10.1016/j.jcp.2019.109179
Publication Info
Shen, L; Huang, H; Lin, P; Song, Z; & Xu, S (2020). An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density. Journal of Computational Physics, 405. pp. 109179-109179. 10.1016/j.jcp.2019.109179. Retrieved from https://hdl.handle.net/10161/23461.
This is constructed from limited available data and may be imprecise. To cite this article, please review & use the official citation provided by the journal.
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Scholars@Duke

Shixin Xu

Assistant Professor of Mathematics at Duke Kunshan University
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