Numerical approximations for a phase field dendritic crystal growth model based on the invariant energy quadratization approach

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.5372 ◽

2016 ◽

Vol 110 (3) ◽

pp. 279-300 ◽

Author(s):

Jia Zhao ◽

Qi Wang ◽

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Numerical Approximations ◽

Dendritic Crystal ◽

Model Based ◽

Invariant Energy Quadratization

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A novel decoupled and stable scheme for an anisotropic phase-field dendritic crystal growth model

Applied Mathematics Letters ◽

10.1016/j.aml.2019.03.029 ◽

2019 ◽

Vol 95 ◽

pp. 122-129 ◽

Author(s):

Jun Zhang ◽

Chuanjun Chen ◽

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Dendritic Crystal ◽

Anisotropic Phase ◽

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Numerical approximations for the molecular beam epitaxial growth model based on the invariant energy quadratization method

Journal of Computational Physics ◽

10.1016/j.jcp.2016.12.025 ◽

2017 ◽

Vol 333 ◽

pp. 104-127 ◽

Author(s):

Xiaofeng Yang ◽

Jia Zhao ◽

Qi Wang

Keyword(s):

Epitaxial Growth ◽

Growth Model ◽

Molecular Beam ◽

Numerical Approximations ◽

Molecular Beam Epitaxial ◽

Model Based ◽

Invariant Energy Quadratization ◽

Molecular Beam Epitaxial Growth

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Efficient linear, stabilized, second-order time marching schemes for an anisotropic phase field dendritic crystal growth model

Computer Methods in Applied Mechanics and Engineering ◽

10.1016/j.cma.2018.12.012 ◽

2019 ◽

Vol 347 ◽

pp. 316-339 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Second Order ◽

Dendritic Crystal ◽

Time Marching ◽

Anisotropic Phase

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On a Novel Full Decoupling, Linear, Second‐Order Accurate, and Unconditionally Energy Stable Numerical Scheme for the Anisotropic Phase‐Field Dendritic Crystal Growth Model

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.6697 ◽

2021 ◽

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Numerical Scheme ◽

Second Order ◽

Dendritic Crystal ◽

Energy Stable ◽

Anisotropic Phase

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Efficient and Energy Stable Scheme for an Anisotropic Phase-field Dendritic Crystal Growth Model Using the Scalar Auxiliary Variable (SAV) Approach

Journal of Mathematical Study ◽

10.4208/jms.v53n2.20.05 ◽

2020 ◽

Vol 53 (2) ◽

pp. 212-236

Author(s):

Xiaofeng Yang sci

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Auxiliary Variable ◽

Dendritic Crystal ◽

Energy Stable ◽

Energy Stable Scheme ◽

Anisotropic Phase ◽

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Fully-discrete spectral-Galerkin scheme with decoupled structure and second-order time accuracy for the anisotropic phase-field dendritic crystal growth model

International Journal of Heat and Mass Transfer ◽

10.1016/j.ijheatmasstransfer.2021.121750 ◽

2021 ◽

Vol 180 ◽

pp. 121750

Author(s):

Xiaofeng Yang

Keyword(s):

Crystal Growth ◽

Growth Model ◽

Phase Field ◽

Second Order ◽

Galerkin Scheme ◽

Dendritic Crystal ◽

Fully Discrete ◽

Time Accuracy ◽

Decoupled Structure ◽

Anisotropic Phase

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Design and Verification of the MPFA Scheme for Three-Dimensional Phase Field Model of Dendritic Crystal Growth

Numerical Mathematics and Advanced Applications 2011 ◽

10.1007/978-3-642-33134-3_49 ◽

2012 ◽

pp. 459-467 ◽

Author(s):

P. Strachota ◽

M. Beneš

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Field Model ◽

Three Dimensional ◽

Phase Field Model ◽

Dendritic Crystal

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Efficient adaptive three-dimensional phase-field simulation of dendritic crystal growth from various supercoolings using rescaling

Journal of Crystal Growth ◽

10.1016/j.jcrysgro.2008.09.077 ◽

2009 ◽

Vol 311 (3) ◽

pp. 702-706 ◽

Author(s):

C.C. Chen ◽

C.W. Lan

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Three Dimensional ◽

Phase Field Simulation ◽

Dendritic Crystal ◽

Field Simulation

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Adaptive phase-field computations of dendritic crystal growth

Journal of Crystal Growth ◽

10.1016/s0022-0248(96)01059-7 ◽

1997 ◽

Vol 174 (1-4) ◽

pp. 41-53 ◽

Author(s):

R.J. Braun ◽

B.T. Murray

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Dendritic Crystal

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Phase-field simulations of dendritic crystal growth in a forced flow

Physical Review E ◽

10.1103/physreve.63.061601 ◽

2001 ◽

Vol 63 (6) ◽

Author(s):

X. Tong ◽

C. Beckermann ◽

A. Karma ◽

Q. Li

Keyword(s):

Crystal Growth ◽

Phase Field ◽

Forced Flow ◽

Dendritic Crystal

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