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A method for overcoming the surface tension time step constraint in multiphase flows II
Author(s) -
Sussman M.
Publication year - 2011
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2557
Subject(s) - curvature , surface tension , work (physics) , relaxation (psychology) , rotational symmetry , constraint (computer aided design) , oscillation (cell signaling) , tension (geology) , mathematics , mechanics , surface (topology) , bubble , mathematical analysis , classical mechanics , geometry , physics , thermodynamics , chemistry , psychology , social psychology , biochemistry , moment (physics)
SUMMARY A method for overcoming the surface tension time step constraint is presented. The algorithm presented in this work is an improvement on the work presented by Sussman and Ohta ( SIAM J Sci Comput 2009). In this work, the method of Sussman and Ohta is extended in order to treat problems with contact angle dynamics. Furthermore, this work presents a more efficient method for computing volume‐preserving motion by mean curvature than the method presented previously. The new method is tested on the following four 2D problems: (1) 3D axisymmetric ( r − z ) surface tension driven zero gravity droplet oscillation, (2) measurement of the magnitude of parasitic currents for a droplet on a substrate initialized in static equilibrium, (3) relaxation of a 2D droplet on a substrate to static shape, and (3) relaxation of a 2D bubble on a substrate to static shape. Copyright © 2011 John Wiley & Sons, Ltd.