Journal
JOURNAL OF COMPUTATIONAL PHYSICS
Volume 228, Issue 15, Pages 5370-5389Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2009.04.027
Keywords
VOF; Contact line; Contact angle; Dynamic contact angle; Slip length
Funding
- NSF-DMS [0405810]
- CNRS
- NSERC
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0405810] Funding Source: National Science Foundation
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Typical VOF algorithms rely on an implicit slip that scales with mesh refinement, to allow contact lines to move along no-slip boundaries. As a result, solutions of contact line phenomena vary continuously with mesh spacing; this paper presents examples of that variation. A mesh-dependent dynamic contact angle model is then presented, that is based on fundamental hydrodynamics and serves as a more appropriate boundary condition at a moving contact line. This new boundary condition eliminates the stress singularity at the contact line; the resulting problem is thus well-posed and yields solutions that converge with mesh refinement. Numerical results are presented of a solid plate withdrawing from a fluid pool, and of spontaneous droplet spread at small capillary and Reynolds numbers. Published by Elsevier Inc.
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