Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines. (7th February 2017)

• Record Type: Journal Article
• Authors: Ma, Lina; Chen, Rui; Yang, Xiaofeng; Zhang, Hui
• Is Part Of: Communications in computational physics. Volume 21:Number 3(2017:Mar.)
• Page Start: 867
• Page End: 889
• Publication Date: 2017-02-07
• Subjects: 65M12, -- 65M70, -- 65P99; Phase-field, -- two-phase flow, -- Navier-Stokes, -- contact lines, -- stability; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.OA-2016-0008
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: 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.