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Abstract : |
In [6], the Ghost Fluid Method (GFM) was developed to capture the boundary conditions at a contact discontinuity in the inviscid compressible Euler equations. In [11], related techniques were used to develop a boundary condition capturing approach for the variable coe #cient Poisson equation on domains with an embedded interface. In this paper, these new numerical techniques are extended to treat multiphase incompressible flow including the e#ects of viscosity, surface tension and gravity. While the most notable finite di#erence techniques for multiphase incompressible flow involve numerical smearing of the equations near the interface, see e.g. [19, 17, 1], this new approach treats the interface in a sharp fashion. # We would like to thank Dr. David Wasson 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., |
