Totally decoupled implicit–explicit linear scheme with corrected energy dissipation law for the phase-field fluid vesicle model

Junxiang Yang, Yibao Li, Junseok Kim

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

A biological vesicle in fluid environment is described by a conservative Allen–Cahn type phase-field model and the incompressible Navier–Stokes equations. To accurately and efficiently solve this complex system, we present a totally decoupled, linear, and second-order time-accurate method based on a time-dependent auxiliary variable methodology. The time-discretized versions of energy stability and unique solvability are analytically proved. By using a simple and effective energy correction technique, the consistency between the original and modified energies is enhanced. The proposed numerical algorithm is simple to implement because we only need to separately solve linear elliptic equations. Various computational tests are conducted to verify the performance of the proposed numerical algorithm.

Original languageEnglish
Article number115330
JournalComputer Methods in Applied Mechanics and Engineering
Volume399
DOIs
Publication statusPublished - 2022 Sep 1

Keywords

  • Corrected energy
  • Incompressible flows
  • Linearly decoupled scheme
  • Phase field vesicle model

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

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