TY - EJOU AU - Sussman, Mark AU - Ohta, Mitsuhiro TI - Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method. T2 - Fluid Dynamics \& Materials Processing PY - 2007 VL - 3 IS - 1 SN - 1555-2578 AB - In this paper, we describe new techniques for numerically approximating two-phase flows. Specifically, we present new techniques for treating the viscosity and surface tension terms that appear in the Navier-Stokes equations for incompressible two-phase flow. Our resulting numerical method has the property that results computed using our two-phase algorithm approach the corresponding "one-phase'' algorithm in the limit of zero gas density/viscosity; i.e. the two-phase results approach the one-phase free-boundary results in the limit that the gas is assumed to become a uniform pressure void. By grid convergence checks and comparison with previous experimental data, we shall demonstrate the advantages of our new proposed discretizations. KW - volume-of-fluid method KW - sharp interface KW - multiphase flow KW - surface tension KW - viscosity DO - 10.3970/fdmp.2007.003.021