Journal
COMMUNICATIONS IN COMPUTATIONAL PHYSICS
Volume 21, Issue 3, Pages 867-889Publisher
GLOBAL SCIENCE PRESS
DOI: 10.4208/cicp.OA-2016-0008
Keywords
Phase-field; two-phase flow; Navier-Stokes; contact lines; stability
Categories
Funding
- AFOSR [FA9550-12-1-0178]
- Ministry of Education Program for New Century Excellent Talents Project [NCET-12-0053]
- [NSF-DMS-1200487]
- [NSF-DMS-1418898]
- [NSFC-11471046]
- [NSFC-11571045]
- [NSFC-RGC-11261160486]
- Direct For Mathematical & Physical Scien
- Division Of Mathematical Sciences [1418898] Funding Source: National Science Foundation
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [1200487] Funding Source: National Science Foundation
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In this paper, we present some efficient numerical schemes to solve a two-phase hydrodynamics coupled phase field model with moving contact line boundary conditions. The model is a nonlinear coupling system, which consists the Navier-Stokes equations with the general Navier Boundary conditions or degenerated Navier Boundary conditions, and the Allen-Cahn type phase field equations with dynamical contact line boundary condition or static contact line boundary condition. The proposed schemes are linear and unconditionally energy stable, where the energy stabilities are proved rigorously. Various numerical tests are performed to show the accuracy and efficiency thereafter.
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