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

Lingyue Shen; Huaxiong Huang; Ping Lin; Zilong Song; Shixin Xu

doi:10.1016/j.jcp.2019.109179

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

Lingyue Shen, Huaxiong Huang, Ping Lin, Zilong Song, Shixin Xu (Lead / Corresponding author)

Mathematics

Research output: Contribution to journal › Article

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.

Original language	English
Article number	109179
Pages (from-to)	1-27
Number of pages	27
Journal	Journal of Computational Physics
Volume	405
Early online date	10 Dec 2019
DOIs	https://doi.org/10.1016/j.jcp.2019.109179
Publication status	Published - 15 Mar 2020

Keywords

C finite element
Energy stability
Large density ratio
Moving contact lines
Phase-field method
Quasi-incompressible

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10.1016/j.jcp.2019.109179

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Licence: CC BY-NC-ND
Embargo ends: 10/12/20

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Profiles

Lin, Ping

p.lin@dundee.ac.uk

Mathematics - Professor of Numerical Analysis

Person: Academic

Cite this

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, 1-27. [109179]. https://doi.org/10.1016/j.jcp.2019.109179

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AU - Xu, Shixin

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KW - Large density ratio

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