Conservative Allen–Cahn–Navier–Stokes system for incompressible two-phase fluid flows

Darae Jeong, Junseok Kim

Research output: Contribution to journalArticlepeer-review

68 Citations (Scopus)


A new phase-field model for immiscible incompressible two-phase liquid flows has been developed. The model consists of a conservative Allen–Cahn equation with a space-time dependent Lagrange multiplier and a modified Navier–Stokes equation. Even though most phase-field methods for the multiphase flows preserve total mass, the bulk phase concentrations tend to shift from equilibrium concentration values of a double-well potential. The proposed model has a good feature which avoids mass spreading to the bulk phases. To validate the new system, the deformation of a drop from the initial circular shape in shear flow is presented and compared with other numerical results.

Original languageEnglish
Pages (from-to)239-246
Number of pages8
JournalComputers and Fluids
Publication statusPublished - 2017 Oct 12

Bibliographical note

Publisher Copyright:
© 2017 Elsevier Ltd


  • Cahn–Hilliard equation
  • Conservative Allen–Cahn equation
  • Interfacial tension
  • Multigrid method
  • Navier–Stokes equation
  • Phase-field model

ASJC Scopus subject areas

  • General Computer Science
  • General Engineering


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