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Volume 21, Issue 3
Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines

Lina Ma, Rui Chen, Xiaofeng Yang & Hui Zhang

DOI: 10.4208/cicp.OA-2016-0008

Commun. Comput. Phys., 21 (2017), pp. 867-889.

Published online: 2018-04

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  • 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.

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@Article{CiCP-21-867, author = {Lina Ma, Rui Chen, Xiaofeng Yang and Hui Zhang}, title = {Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines}, journal = {Communications in Computational Physics}, year = {2018}, volume = {21}, number = {3}, pages = {867--889}, 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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0008}, url = {http://global-sci.org/intro/article_detail/cicp/11263.html} }
TY - JOUR T1 - Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines AU - Lina Ma, Rui Chen, Xiaofeng Yang & Hui Zhang JO - Communications in Computational Physics VL - 3 SP - 867 EP - 889 PY - 2018 DA - 2018/04 SN - 21 DO - http://doi.org/10.4208/cicp.OA-2016-0008 UR - https://global-sci.org/intro/article_detail/cicp/11263.html KW - AB -

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.

Lina Ma, Rui Chen, Xiaofeng Yang and Hui Zhang. (2018). Numerical Approximations for Allen-Cahn Type Phase Field Model of Two-Phase Incompressible Fluids with Moving Contact Lines. Communications in Computational Physics. 21 (3). 867-889. doi:10.4208/cicp.OA-2016-0008
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