Open Access
December 2004 Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method
Huaxiong Huang, Dong Liang, Brian Wetton
Commun. Math. Sci. 2(4): 535-552 (December 2004).


In this paper we outline a front-tracking method for computing the moving contact line. In particular, we are interested in the motion of two-dimensional drops and bubbles on a partially wetting surface exposed to shear flows. Peskin's Immersed Boundary Method is used to model the liquid-gas interface, similar to the approach used by Unverdi and Traggvason. The movement near the moving contact line is modelled by a slip condition, the value of the dynamic contact angle is determined by a linear model, and the local forces are introduced at the moving contact lines based on a relationship of moving contact angle and contact line speed. Numerical examples show that the method can be applied to the motion of drops and bubbles on a solid surface over a wide range of parameter values.


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Huaxiong Huang. Dong Liang. Brian Wetton. "Computation of a Moving Drop/Bubble on a Solid Surface using a Front-Tracking Method." Commun. Math. Sci. 2 (4) 535 - 552, December 2004.


Published: December 2004
First available in Project Euclid: 3 March 2005

zbMATH: 1161.76541
MathSciNet: MR2119928

Rights: Copyright © 2004 International Press of Boston

Vol.2 • No. 4 • December 2004
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