Introduction of two-phase flows

• Scales and approaches (to be written)
  • Local scale
  • Homogeneized scale
  • Two-set vs one-set of Navier-Stokes equations
• Local and instantaneous Navier-Stokes equations
  • Two-fluid formulation without phase-change
  • One-fluid formulation for incompressible fluids
  • Bibliography
• Overview of interface-tracking methods with one-fluid formulation (to be completed)
  • Interface-Tracking
  • Interface-Capturing
  • Bibliography
• Analytical solutions for two-phase
  • Laplace’s law
  • Analytical solution of double-Poiseuille flow
  • Analytical solution of Prosperetti for capillary wave