Efficient linear, decoupled, and unconditionally stable scheme for a ternary Cahn-Hilliard type Nakazawa-Ohta phase-field model for tri-block copolymers

Applied Mathematics and Computation ◽

10.1016/j.amc.2020.125463 ◽

2021 ◽

Vol 388 ◽

pp. 125463

Author(s):

Chuanjun Chen ◽

Xi Li ◽

Jun Zhang ◽

Xiaofeng Yang

Keyword(s):

Block Copolymers ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Unconditionally Stable ◽

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A Linear Unconditionally Stable Scheme for the Incompressible Cahn–Hilliard–Navier–Stokes Phase-Field Model

Bulletin of the Iranian Mathematical Society ◽

10.1007/s41980-021-00617-4 ◽

2021 ◽

Author(s):

Xue Wang ◽

Kaitai Li ◽

Hongen Jia

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Unconditionally Stable ◽

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A gradient stable scheme for a phase field model for the moving contact line problem

Journal of Computational Physics ◽

10.1016/j.jcp.2011.10.015 ◽

2012 ◽

Vol 231 (4) ◽

pp. 1372-1386 ◽

Author(s):

Min Gao ◽

Xiao-Ping Wang

Keyword(s):

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Moving Contact Line ◽

Moving Contact ◽

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A novel linear, unconditional energy stable scheme for the incompressible Cahn–Hilliard–Navier–Stokes phase-field model

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2020.10.006 ◽

2020 ◽

Vol 80 (12) ◽

pp. 2948-2971

Author(s):

Hongen Jia ◽

Xue Wang ◽

Kaitai Li

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Navier Stokes ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Efficient, Second-Order in Time, and Energy Stable Scheme for a New Hydrodynamically Coupled Three Components Volume-Conserved Allen-Cahn Phase-Field Model

Mathematical Models and Methods in Applied Sciences ◽

10.1142/s0218202521500184 ◽

2021 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Second Order ◽

Second Order In Time ◽

Energy Stable ◽

Time And Energy ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Three Components

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A decoupled energy stable scheme for a hydrodynamic phase-field model of mixtures of nematic liquid crystals and viscous fluids

Journal of Computational Physics ◽

10.1016/j.jcp.2015.09.044 ◽

2016 ◽

Vol 305 ◽

pp. 539-556 ◽

Author(s):

Jia Zhao ◽

Xiaofeng Yang ◽

Jie Shen ◽

Qi Wang

Keyword(s):

Liquid Crystals ◽

Phase Field ◽

Field Model ◽

Nematic Liquid Crystals ◽

Phase Field Model ◽

Viscous Fluids ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A novel fully-decoupled, linear, and unconditionally energy-stable scheme of the conserved Allen-Cahn phase-field model of a two-phase incompressible flow system with variable density and viscosity

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2021.106120 ◽

2021 ◽

pp. 106120

Author(s):

Peng Liu ◽

Zhigang Ouyang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Incompressible Flow ◽

Phase Field ◽

Field Model ◽

Flow System ◽

Phase Field Model ◽

Variable Density ◽

Two Phase ◽

Energy Stable ◽

Energy Stable Scheme ◽

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An efficient and energy stable scheme for a phase-field model for the moving contact line problem

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.4200 ◽

2015 ◽

Vol 81 (11) ◽

pp. 657-671 ◽

Author(s):

Sebastian Aland ◽

Feng Chen

Keyword(s):

Contact Line ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Efficient and Energy Stable scheme for the hydrodynamically coupled three components Cahn-Hilliard phase-field model using the stabilized-Invariant Energy Quadratization (S-IEQ) Approach

Journal of Computational Physics ◽

10.1016/j.jcp.2021.110342 ◽

2021 ◽

pp. 110342

Author(s):

Xiaofeng Yang

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Invariant Energy Quadratization ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Three Components

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A THERMODYNAMICALLY CONSISTENT PHASE-FIELD MODEL FOR TWO-PHASE FLOWS AND ITS COMPUTATIONS

Proceeding of Proceedings of CHT-15. 6th International Symposium on ADVANCES IN COMPUTATIONAL HEAT TRANSFER , May 25-29, 2015, Rutgers University, New Brunswick, NJ, USA ◽

10.1615/ichmt.2015.intsympadvcomputheattransf.1750 ◽

2015 ◽

Author(s):

Ping Lin ◽

Zhenlin Guo

Keyword(s):

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Two Phase Flows ◽

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A phase-field model for simulation of the laser cladding process using a discontinuous viscosity variable and its approximation by finite element method

International Congress on Applications of Lasers & Electro-Optics ◽

10.2351/1.5060380 ◽

2004 ◽

Author(s):

Aaron Naber ◽

Richard Martukanitz

Keyword(s):

Finite Element Method ◽

Finite Element ◽

Laser Cladding ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Laser Cladding Process ◽

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