A mesh-dependent model for applying dynamic contact angles to VOF simulations

JOURNAL OF COMPUTATIONAL PHYSICS

卷:228

Article

Afkhami, S.^1,2  Zaleski, S.³  Bussmann, M.⁴ 

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] Virginia Tech, ICAM, Blacksburg, VA 24061 USA

[3] Univ Paris 06, Case 162, Inst Jean Le Rond DAlembert, F-75252 Paris 05, France

[4] Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada

关键词: VOF;    Contact line;    Contact angle;    Dynamic contact angle;    Slip length;   

DOI  :  10.1016/j.jcp.2009.04.027

来源: Elsevier

【 摘 要 】

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.

【 授权许可】

Free