A High-Order and Unconditionally Energy Stable Scheme for the Conservative Allen–Cahn Equation with a Nonlocal Lagrange Multiplier

Journal of Scientific Computing ◽

10.1007/s10915-021-01735-1 ◽

2021 ◽

Vol 90 (1) ◽

Author(s):

Hyun Geun Lee ◽

Jaemin Shin ◽

June-Yub Lee

Keyword(s):

Lagrange Multiplier ◽

Cahn Equation ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Linear, Second-Order Accurate, and Energy Stable Scheme for a Ternary Cahn–Hilliard Model by Using Lagrange Multiplier Approach

Acta Applicandae Mathematicae ◽

10.1007/s10440-021-00405-6 ◽

2021 ◽

Vol 172 (1) ◽

Author(s):

Junxiang Yang ◽

Junseok Kim

Keyword(s):

Lagrange Multiplier ◽

Second Order ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A Multiple Scalar Auxiliary Variables Approach to the Energy Stable Scheme of the Moving Contact Line Problem

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2019-0154 ◽

2020 ◽

Vol 13 (2) ◽

pp. 539-568

Author(s):

Fengdai Kang & Zhen Zhang

Keyword(s):

Contact Line ◽

Auxiliary Variables ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities

Applied Mathematical Modelling ◽

10.1016/j.apm.2020.02.022 ◽

2020 ◽

Vol 83 ◽

pp. 614-639 ◽

Author(s):

Guangpu Zhu ◽

Huangxin Chen ◽

Aifen Li ◽

Shuyu Sun ◽

Jun Yao

Keyword(s):

Contact Line ◽

Phase Field ◽

Discrete Energy ◽

Fully Discrete ◽

Moving Contact Line ◽

Moving Contact ◽

Energy Stable ◽

Energy Stable Scheme ◽

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An unconditionally energy stable scheme for simulating wrinkling phenomena of elastic thin films on a compliant substrate

Journal of Computational Physics ◽

10.1016/j.jcp.2019.03.009 ◽

2019 ◽

Vol 388 ◽

pp. 123-143 ◽

Author(s):

Qiong-Ao Huang ◽

Wei Jiang ◽

Jerry Zhijian Yang

Keyword(s):

Compliant Substrate ◽

Energy Stable ◽

Energy Stable Scheme ◽

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An energy-stable scheme for a 2D simple fluid-particle interaction problem

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109850 ◽

2021 ◽

Vol 424 ◽

pp. 109850

Author(s):

Xiang Li ◽

Qiang Du ◽

Li Luo ◽

Xiao-Ping Wang

Keyword(s):

Particle Interaction ◽

Fluid Particle ◽

Simple Fluid ◽

Energy Stable ◽

Interaction Problem ◽

Energy Stable Scheme ◽

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A Linear Energy Stable Scheme for a Thin Film Model Without Slope Selection

Journal of Scientific Computing ◽

10.1007/s10915-011-9559-2 ◽

2011 ◽

Vol 52 (3) ◽

pp. 546-562 ◽

Author(s):

Wenbin Chen ◽

Sidafa Conde ◽

Cheng Wang ◽

Xiaoming Wang ◽

Steven M. Wise

Keyword(s):

Thin Film ◽

Thin Film Model ◽

Slope Selection ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A novel linear second order unconditionally energy stable scheme for a hydrodynamic Q-tensor model of liquid crystals

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2017.01.031 ◽

2017 ◽

Vol 318 ◽

pp. 803-825 ◽

Author(s):

Jia Zhao ◽

Xiaofeng Yang ◽

Yuezheng Gong ◽

Qi Wang

Keyword(s):

Liquid Crystals ◽

Second Order ◽

Tensor Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

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An energy-stable scheme for incompressible Navier-Stokes equations with periodically updated coefficient matrix

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109624 ◽

2020 ◽

Vol 418 ◽

pp. 109624

Author(s):

Lianlei Lin ◽

Naxian Ni ◽

Zhiguo Yang ◽

Suchuan Dong

Keyword(s):

Stokes Equations ◽

Coefficient Matrix ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Energy Stable ◽

Energy Stable Scheme ◽

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A linearly second-order energy stable scheme for the phase field crystal model

Applied Numerical Mathematics ◽

10.1016/j.apnum.2019.01.017 ◽

2019 ◽

Vol 140 ◽

pp. 134-164 ◽

Author(s):

Shuaichao Pei ◽

Yanren Hou ◽

Bo You

Keyword(s):

Phase Field ◽

Second Order ◽

Order Energy ◽

Crystal Model ◽

Energy Stable ◽

Energy Stable Scheme ◽

Stable Scheme ◽

Phase Field Crystal

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A gPAV-based unconditionally energy-stable scheme for incompressible flows with outflow/open boundaries

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2020.112969 ◽

2020 ◽

Vol 365 ◽

pp. 112969 ◽

Author(s):

Lianlei Lin ◽

Xiaoyu Liu ◽

Suchuan Dong

Keyword(s):

Incompressible Flows ◽

Open Boundaries ◽

Energy Stable ◽

Energy Stable Scheme ◽

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