Assessment of WENO-extended two-fluid modelling in compressible multiphase flows

Keiichi Kitamura, Taku Nonomura

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


The two-fluid modelling based on an advection-upwind-splitting-method (AUSM)-family numerical flux function, AUSM+-up, following the work by Chang and Liou [Journal of Computational Physics 2007;225: 840–873], has been successfully extended to the fifth order by weighted-essentially-non-oscillatory (WENO) schemes. Then its performance is surveyed in several numerical tests. The results showed a desired performance in one-dimensional benchmark test problems: Without relying upon an anti-diffusion device, the higher-order two-fluid method captures the phase interface within a fewer grid points than the conventional second-order method, as well as a rarefaction wave and a very weak shock. At a high pressure ratio (e.g. 1,000), the interpolated variables appeared to affect the performance: the conservative-variable-based characteristic-wise WENO interpolation showed less sharper but more robust representations of the shocks and expansions than the primitive-variable-based counterpart did. In two-dimensional shock/droplet test case, however, only the primitive-variable-based WENO with a huge void fraction realised a stable computation.

Original languageEnglish
Pages (from-to)188-194
Number of pages7
JournalInternational Journal of Computational Fluid Dynamics
Issue number3
Publication statusPublished - 2017 Mar 16


  • AUSM
  • higher-order
  • Multiphase flow
  • two-fluid modelling
  • WENO


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