An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
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 articleSubject
Science & TechnologyTechnology
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
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https://hdl.handle.net/10161/23461Published Version (Please cite this version)
10.1016/j.jcp.2019.109179Publication Info
(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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Show full item recordScholars@Duke
Shixin Xu
Assistant Professor of Mathematics at Duke Kunshan University
Shixin Xu is an Assistant Professor of Mathematics. His research interests are machine
learning and data-driven model for diseases, multiscale modeling of complex fluids,
Neurovascular coupling, homogenization theory, and numerical analysis. The current
projects he is working on are
image data-based for the prediction of hemorrhagic transformation in acute ischemic
stroke,
electrodynamics modeling of saltatory conduction along myelina
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