期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 294, 期 -, 页码 243-257出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2015.03.051
关键词
Thin films; Solid-liquid intermolecular; Volume of fluid method; Contact angle
资金
- National Science Foundation [NSF-DMS-1320037, CBET-1235710]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1320037] Funding Source: National Science Foundation
- Div Of Chem, Bioeng, Env, & Transp Sys
- Directorate For Engineering [1235710] Funding Source: National Science Foundation
In this paper, we present a novel approach to model the fluid/solid interaction forces in a direct solver of the Navier-Stokes equations based on the volume of fluid interface tracking method. The key ingredient of the model is the explicit inclusion of the fluid/solid interaction forces into the governing equations. We show that the interaction forces lead to a partial wetting condition and in particular to a natural definition of the equilibrium contact angle. We present two numerical methods to discretize the interaction forces that enter the model; these two approaches differ in complexity and convergence. To validate the computational framework, we consider the application of these models to simulate two-dimensional drops at equilibrium, as well as drop spreading. We demonstrate that the model, by including the underlying physics, captures contact line dynamics for arbitrary contact angles. More generally, the approach permits novel means to study contact lines, as well as a diverse range of phenomena that previously could not be addressed in direct simulations. (C) 2015 Elsevier Inc. All rights reserved.
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