An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
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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.
SubjectScience & Technology
Computer Science, Interdisciplinary Applications
Moving contact lines
Large density ratio
C(0 )finite element
LATTICE BOLTZMANN MODEL
Published Version (Please cite this version)10.1016/j.jcp.2019.109179
Publication InfoShen, 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. pp. 109179-109179. 10.1016/j.jcp.2019.109179. Retrieved from https://hdl.handle.net/10161/23461.
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