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 |
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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 | |
Publication status | Published - 15 Mar 2020 |
Keywords
- C finite element
- Energy stability
- Large density ratio
- Moving contact lines
- Phase-field method
- Quasi-incompressible