Energy law preserving finite element scheme for the cahn-hilliard equation with dynamic boundary conditions

Na Li, Ping Lin (Lead / Corresponding author), Fuzheng Gao

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

In this paper, we develop the energy law preserving method for a phase-field model of Cahn-Hilliard type describing binary mixtures. A new class of dynamic boundary conditions in a rather general setting proposed in [1] is adopted here. The model equations are discretized by a continuous finite element method in space and a midpoint scheme in time. The discrete energy law of the numerical method for the model with the dynamic boundary conditions is derived. By a few two-phase examples, we demonstrate the performance of the energy law preserving method for the computation of the phase-field model with the new class of dynamic boundary conditions, even in the case of relatively coarse mesh.

Original languageEnglish
Pages (from-to)1490-1509
Number of pages20
JournalCommunications in Computational Physics
Volume26
Issue number5
Early online date1 Aug 2019
DOIs
Publication statusPublished - Nov 2019

Keywords

  • Cahn-Hilliard equation
  • Dynamic boundary condition
  • Energy law preservation
  • Finite element method

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