A hybrid WENO5IS-THINC reconstruction scheme for compressible multiphase flows

Wenbin Zhang, Nico Fleischmann, Stefan Adami, Nikolaus A. Adams

Research output: Contribution to journalArticlepeer-review


We present a hybrid reconstruction scheme for compressible multiphase flows governed by the five-equation model with surface tension and molecular viscosity. The Godunov-type method utilizes a fifth-order incremental stencil weighted essential non-oscillatory (WENO5IS) scheme to resolve flow structures in each component, while the Tangent of Hyperbola for INterface Capturing (THINC) maintains sharp fluid interfaces. Supplemented with positivity- and boundedness-preserving limiting procedures, the scheme exhibits a high level of robustness for multiphase flow problems with strong compressibility and large acoustic impedance mismatch. One- and two-dimensional benchmark cases demonstrate the efficiency and accuracy of interface-sharpening, and the high resolution capability for each fluid component. Numerical tests under extreme conditions corroborate the excellent robustness, and simulations with surface tension and viscosity also exhibit the versatility of the proposed approach.

Original languageEnglish
Article number112672
JournalJournal of Computational Physics
StatePublished - 1 Feb 2024


  • Five-equation model
  • Interface-capturing
  • Multiphase flows
  • WENO


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