Open Access

ARTICLE

Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method.

Mark Sussman¹, Mitsuhiro Ohta²

1 Florida State University, Dept. of Math, Tallahassee, FL,USA.
2 Muroran Institute of Technology, Dept. of Applied Chemistry, Muroran, Hokkaido, Japan

Fluid Dynamics & Materials Processing 2007, 3(1), 21-36. https://doi.org/10.3970/fdmp.2007.003.021

Abstract

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.

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