Conservative models and numerical methods for compressible two-phase flow

Evgeniy Romenski, Dimitris Drikakis, Eleuterio Toro

Research output: Contribution to journalArticlepeer-review


The paper presents the computational framework for solving hyperbolic models for compressible two-phase flow by finite volume methods. A hierarchy of two-phase flow systems of conservation-form equations is formulated, including a general model with different phase velocities, pressures and temperatures; a simplified single temperature model with equal phase temperatures; and an isentropic model. The solution of the governing equations is obtained by the MUSCL-Hancock method in conjunction with the GFORCE and GMUSTA fluxes. Numerical results are presented for the water faucet test case, the Riemann problem with a sonic point and the water-air shock tube test case. The effect of the pressure relaxation rate on the numerical results is also investigated.

Original languageEnglish
Pages (from-to)68-95
Number of pages28
JournalJournal of Scientific Computing
Issue number1
Publication statusPublished - 1 Jan 2010


  • Compressible two-phase flow
  • Finite volume method
  • Hyperbolic conservation laws


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