Anti-diffusion interface sharpening technique for two-phase compressible flow simulations

K. K. So, X. Y. Hu, N. A. Adams

Research output: Contribution to journalArticlepeer-review

101 Scopus citations

Abstract

In this paper we propose an interface sharpening technique for two-phase compressible-flow simulations based on volume-of-fluid methods. The idea of sharpening the two-fluid interface is to provide a correction algorithm which can be applied as post-processing to the volume-fraction field after each time step. For this purpose an anti-diffusion equation, i.e. a diffusion equation with a positive diffusion coefficient, is solved to counter-act the numerical diffusion resulting from the underlying VOF discretization. The numerical stability and volume-fraction boundedness in solving the anti-diffusion equation are ensured by a specified discretization scheme. No interface reconstruction and interface normal calculation are required in this method. All flow variables are updated with the sharpened volume-fraction field for ensuring the consistency of the variables, and the update of the phase mass, momentum and energy is conservative. Numerical results for shock-tube and shock-bubble interactions based on the ideal-gas EOS and shock contact problems based on the Mie-Grüneisen EOS show an improved interface resolution. The large-scale interface structures are in good agreement with reference results, and finer small-scale interface structures are recovered in a consistent manner as the grid resolution increases. As compared with reference high grid-resolution numerical results based on AMR algorithms, the interface roll-up phenomena due to the Richtmyer-Meshkov instability and the Kelvin-Helmholtz instability are recovered reliably for shock-bubble interactions involving different ideal gases.

Original languageEnglish
Pages (from-to)4304-4323
Number of pages20
JournalJournal of Computational Physics
Volume231
Issue number11
DOIs
StatePublished - 1 Jun 2012

Keywords

  • Anti-diffusion
  • Interface sharpening
  • Shock-bubble interaction
  • Two-phase compressible flow
  • Volume-of-fluid

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