High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces

Xi Deng, Satoshi Inaba, Bin Xie, Keh Ming Shyue, Feng Xiao

Research output: Contribution to journalArticle

18 Citations (Scopus)


We present in this work a new reconstruction scheme, so-called MUSCL-THINC-BVD scheme, to solve the five-equation model for interfacial two phase flows. This scheme employs the traditional shock capturing MUSCL (Monotone Upstream-centered Schemes for Conservation Law) scheme as well as the interface sharpening THINC (Tangent of Hyperbola for INterface Capturing) scheme as two building-blocks of spatial reconstruction on the BVD (boundary variation diminishing) principle that minimizes the variations (jumps) of the reconstructed variables at cell boundaries, and thus effectively reduces the dissipation error in numerical solutions. The MUSCL-THINC-BVD scheme is implemented to the volume fraction and other state variables under the same finite volume framework, which realizes the consistency among volume fraction and other physical variables. Numerical results of benchmark tests show that the present method is able to capture the material interface as a well-defined sharp jump in volume fraction, and obtain numerical solutions of superior quality in comparison to other existing methods. The proposed scheme is a simple and effective method of practical significance for simulating compressible interfacial multiphase flows.

Original languageEnglish
Pages (from-to)945-966
Number of pages22
JournalJournal of Computational Physics
Publication statusPublished - 2018 Oct 15
Externally publishedYes


  • BVD algorithm
  • Compressible multiphase flows
  • Finite volume method
  • Five-equation model
  • Interface capturing
  • THINC reconstruction

ASJC Scopus subject areas

  • Numerical Analysis
  • Modelling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

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