Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

On Numerical Approximation of Two-Phase Flow With Surface Tension and Contact Angles With Level Set Approach
P. Sváček, V. Pokorný
Abstract:
In this paper the problem of flow of two immiscible incompressible fluids is considered, mathematically modelled and numerically approximated. The surface tension and the static contact angle effects are considered, its mathematical realization is discussed and applicable numerical procedures are described. The finite element method is used for approximation, the extended finite element method is used to treat the pressure discontinuity caused by the surface tension. The numerical results are shown.
Keywords:
finite element method, level set, free surface

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2018.037

In Proceedings Topical Problems of Fluid Mechanics 2018, Prague, 2018 Edited by David Šimurda and Tomáš Bodnár, pp. 273-280 ISBN 978-80-87012-65-9 (Print) ISSN 2336-5781 (Print)