A compressible flow model with capillary effects

  • Authors:

  • Guillaume Perigaud;Richard Saurel

  • Affiliations:

  • Polytech Marseille, UMR CNRS 6595 IUSTI, 5 rue E. Fermi, 13453 Marseille Cedex 13, France;Polytech Marseille, UMR CNRS 6595 IUSTI, 5 rue E. Fermi, 13453 Marseille Cedex 13, France and Institut Universitaire de France and INRIA Projet SMASH, 5 rue E. Fermi, 13453 Marseille Cedex 13, Fra ...

  • Venue:
  • Journal of Computational Physics
  • Year:
  • 2005

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Abstract

A quasi-conservative formulation for compressible flows with interfaces including both capillary and viscous effects is developed. The model involves: (i) acoustic and convective transport; (ii) surface tension effects introduced as an extension of the CSF method (Brackbill et al.) to compressible flows; (iii) viscous effects. The interfaces are considered as diffused zones. Every point of the flow is correctly described thanks to a mixture equation of state based on energy conservation and pressure equilibrium. The model is thus valid in each pure fluid as well as at interfaces. A Godunov type method, that enables interface capturing, is developed and used whatever the mesh point. Numerical tests are performed over a wide range of physical situations involving surface tension, compressibility, gravity, viscosity and large density ratios. Tests involving break-up and coalescence are considered to show the ability of the method to deal with dynamic appearance and disappearance of interfaces in an Eulerian framework.