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On Efficient Second Order Stabilized Semi-implicit Schemes for the Cahn-Hilliard Phase-Field Equation 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2018, 卷号: 77, 期号: 2, 页码: 1185-1209
Authors:  Wang, Lin;  Yu, Haijun
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Phase field model  Cahn-Hilliard equation  Energy stable  Stabilized semi-implicit scheme  Second order time marching  
An Artificial Compressibility Method for 3D Phase-Field Model and its Application to Two-Phase Flows 期刊论文
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS, 2017, 卷号: 14, 期号: 5, 页码: 14
Authors:  Shah, Abdullah;  Saeed, Sadia;  Yuan, L.
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Two-phase flow  phase-field model  incompressible Navier-Stokes equations  artificial compressibility method  Boussinesq approximation  
A central compact scheme for numerical solution of two-phase incompressible flow using Allen-Cahn phase field model 期刊论文
JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING, 2016, 卷号: 38, 期号: 2, 页码: 433-441
Authors:  Rizwan, Muhammad;  Shah, Abdullah;  Yuan, Li
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Two-phase flow  Phase field model  Artificial compressibility  Dual-time stepping  Central compact scheme  
Numerical solution of a phase field model for incompressible two-phase flows based on artificial compressibility 期刊论文
COMPUTERS & FLUIDS, 2011, 卷号: 42, 期号: 1, 页码: 54-61
Authors:  Shah, Abdullah;  Yuan, Li
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Two-phase flow  Phase field model  Incompressible Navier-Stokes equations  Artificial compressibility  WENO scheme  
ANALYSIS OF WETTING AND CONTACT ANGLE HYSTERESIS ON CHEMICALLY PATTERNED SURFACES 期刊论文
SIAM JOURNAL ON APPLIED MATHEMATICS, 2011, 卷号: 71, 期号: 5, 页码: 1753-1779
Authors:  Xu, Xianmin;  Wang, Xiaoping
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contact angle hysteresis  phase-field model  Gamma-convergence  
A general moving mesh framework in 3D and its application for simulating the mixture of multi-phase flows 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 卷号: 3, 期号: 3, 页码: 582-602
Authors:  Di, Yana;  Li, Ruo;  Tang, Tao
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moving mesh methods  multi-phase flows  unstructured tetrahedra  phase field model  Navier-Stokes equations  finite element method