Finite element simulation of three-dimensional free-surface flow problems with dynamic contact lines

• Published in: International journal for numerical methods in fluids Vol. 47; no. 10-11; pp. 1353 - 1359
• Main Authors: Walkley, M. A., Gaskell, P. H., Jimack, P. K., Kelmanson, M. A., Summers, J. L.
• Format: Journal Article Conference Proceeding
• Language: English
• Published: Chichester, UK John Wiley & Sons, Ltd 10.04.2005; Wiley
• Subjects: Computational methods in fluid dynamics; dynamic contact lines; Exact sciences and technology; finite element method; Fluid dynamics; free-surface flow; Fundamental areas of phenomenology (including applications); Hydrodynamic waves; Physics; surface tension; Finite element method; Dynamic contact; Euler Lagrange equation; Three dimensional flow; Computational fluid dynamics; Digital simulation; Free surface flow; dynamic contact lines; free-surface flow; surface tension; Contact line
• ISSN: 0271-2091; 1097-0363
• DOI: 10.1002/fld.839

An arbitrary Lagrangian–Eulerian (ALE) finite element method is described for the solution of three‐dimensional free‐surface flow problems. The focus of this work is on extending the algorithm to include a dynamic contact line model allowing the fluid free surface, in the steady case, to form a prespecified static contact angle with a solid boundary and, in the transient case, to move along the solid boundary. This widens the applicability of the algorithm to important industrial applications such as forced spreading of fluids and gravity‐driven flow on inclined surfaces. Copyright © 2004 John Wiley & Sons, Ltd.