A Boundary Condition Capturing Method for Multiphase Incompressible Flow
In [4], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [7], related techniques were used to develop a boundary condition capturing approach for the variable coefficient Poisson equation on irregular domains. In this paper, these new numerical techniques are extended to treat multiphase incompressible flow including the effects of viscosity, surface tension and gravity. While the most notable finite difference techniques for multiphase incompressible flow involve numerical smearing of the equations near the interface, see e.g. [14, 13, 1], this new approach treats the interface in a sharp fashion. We would like to thank Dr. David Wasson and CEO Stanton Rutledge of Arete Entertainment (www.areteis.com) for developing the fast level set rendering software that was used in the visualization of the three dimensional calculations. y Research supported in part by NSF and DARPA grant ...