A fast and practical adaptive finite difference method for the conservative Allen–Cahn model in two-phase flow system

Junxiang Yang, Darae Jeong, Junseok Kim

Research output: Contribution to journalArticlepeer-review

Abstract

We present a simple and practical adaptive finite difference method for the conservative Allen–Cahn–Navier–Stokes system. For the conservative Allen–Cahn equation, we use a temporally adaptive narrow band domain embedded in the uniform discrete rectangular domain. The narrow band domain is defined as a neighboring region of the interface. The Navier–Stokes equation is solved in a fully discrete domain with the coarse grid than that for the CAC equation. Various benchmark numerical experiments, such as the pressure jump, droplet deformation in shear flow, falling droplet, and rising bubble, are performed to show that the proposed method is efficient and practical for the simulations of two-phase incompressible flow.

Original languageEnglish
Article number103561
JournalInternational Journal of Multiphase Flow
Volume137
DOIs
Publication statusPublished - 2021 Apr

Keywords

  • Adaptive grid
  • Conservative Allen–Cahn equation
  • Finite difference scheme
  • Navier–Stokes equation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Fluid Flow and Transfer Processes

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