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

Mark Sussman1, Mitsuhiro Ohta2

Florida State University, Dept. of Math, Tallahassee, FL,USA.
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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Sussman, M., Ohta, M. (2007). Improvements for calculating two-phase bubble and drop motion using an adaptive sharp interface method.. FDMP-Fluid Dynamics & Materials Processing, 3(1), 21–36.



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