An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
Publication
, Journal Article
Shen, L; Huang, H; Lin, P; Song, Z; Xu, S
Published in: Journal of Computational Physics
March 15, 2020
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.
Duke Scholars
Altmetric Attention Stats
Dimensions Citation Stats
Published In
Journal of Computational Physics
DOI
EISSN
1090-2716
ISSN
0021-9991
Publication Date
March 15, 2020
Volume
405
Related Subject Headings
- Applied Mathematics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences
Citation
APA
Chicago
ICMJE
MLA
NLM
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. https://doi.org/10.1016/j.jcp.2019.109179
Published In
Journal of Computational Physics
DOI
EISSN
1090-2716
ISSN
0021-9991
Publication Date
March 15, 2020
Volume
405
Related Subject Headings
- Applied Mathematics
- 51 Physical sciences
- 49 Mathematical sciences
- 40 Engineering
- 09 Engineering
- 02 Physical Sciences
- 01 Mathematical Sciences