Time integration for diffuse interface models for two-phase flow

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We propose a variant of the θ-scheme for diffuse interface models for two-phase flow, together with three new linearization techniques for the surface tension. These involve either additional stabilizing force terms, or a fully implicit coupling of the Navier–Stokes and Cahn–Hilliard equation.

In the common case that the equations for interface and flow are coupled explicitly, we find a time step restriction which is very different to other two-phase flow models and in particular is independent of the grid size. We also show that the proposed stabilization techniques can lift this time step restriction.

Even more pronounced is the performance of the proposed fully implicit scheme which is stable for arbitrarily large time steps. We demonstrate in a Taylor-flow application that this superior coupling between flow and interface equation can decrease the computation time by several orders of magnitude.

Details

Original languageEnglish
Pages (from-to)58-71
Number of pages14
JournalJournal of Computational Physics
Volume262
Publication statusPublished - 2014
Peer-reviewedYes

External IDs

Scopus 84892878396

Keywords

Keywords

  • Time integration, Diffuse interface model, Dominant surface tension, CFL condition, Navier–Stokes, Cahn–Hilliard, Linearization, Time stability