An energy stable C<sup>0</sup> finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density

Thumbnail Image
View / Download4.81 MB

Date

2020-03-15

Authors

Journal Title

Journal ISSN

Volume Title

Repository Usage Stats

284
views
71
downloads

Citation Stats

Attention Stats

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

Department

Description

Provenance

Subjects

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

Citation

Permalink

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

Published Version (Please cite this version)

10.1016/j.jcp.2019.109179

Publication Info

Shen, L, H Huang, P Lin, Z Song and S Xu (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.

Collections

Scholarly Articles
Full item page

Scholars@Duke

Xu

Shixin Xu

Assistant Professor of Mathematics at Duke Kunshan University

Shixin Xu is an Assistant Professor of Mathematics whose research spans several dynamic and interconnected fields. His primary interests include machine learning and data-driven models for disease prediction, multiscale modeling of complex fluids, neurovascular coupling, homogenization theory, and numerical analysis. His current projects reflect a diverse and impactful portfolio:

  • Developing predictive models based on image data to identify hemorrhagic transformation in acute ischemic stroke.
  • Conducting electrodynamics modeling of saltatory conduction along myelinated axons to understand nerve impulse transmission.
  • Engaging in electrochemical modeling to explore the interactions between electric fields and chemical processes.
  • Investigating fluid-structure interactions with mass transport and reactions, crucial for understanding physiological and engineering systems.

These projects demonstrate his commitment to addressing complex problems through interdisciplinary approaches that bridge mathematics with biological and physical sciences.

Unless otherwise indicated, scholarly articles published by Duke faculty members are made available here with a CC-BY-NC (Creative Commons Attribution Non-Commercial) license, as enabled by the Duke Open Access Policy. If you wish to use the materials in ways not already permitted under CC-BY-NC, please consult the copyright owner. Other materials are made available here through the author’s grant of a non-exclusive license to make their work openly accessible.