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


Journal Article

© 2019 Elsevier Inc. 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.

Full Text

Duke Authors

Cited Authors

  • Shen, L; Huang, H; Lin, P; Song, Z; Xu, S

Published Date

  • March 15, 2020

Published In

Volume / Issue

  • 405 /

Electronic International Standard Serial Number (EISSN)

  • 1090-2716

International Standard Serial Number (ISSN)

  • 0021-9991

Digital Object Identifier (DOI)

  • 10.1016/

Citation Source

  • Scopus