Search Results

• A Flux-Corrected Phase-Field Method for Surface Diffusion

  Yujie Zhang & Wenjing Ye

  2018-04-09

  42212 3230 Pages:422-440

• Phase-Field Models for Multi-Component Fluid Flows

  Junseok Kim

  2012-12-01

  42759 5235 Pages:613-661 Open-access

• Solving Allen-Cahn and Cahn-Hilliard Equations Using the Adaptive Physics Informed Neural Networks

  Colby L. Wight, Jia Zhao

  2021-01-13

  59168 3906 Pages:930-954

• Numerical Approximations of Phase Field Models Using a General Class of Linear Time-Integration Schemes

  Lizhen Chen, Zengyan Zhang, Jia Zhao

  2021-10-26

  46669 3313 Pages:1290-1322

• Mass and Volume Conservation in Phase Field Models for Binary Fluids

  Jie Shen, Xiaofeng Yang & Qi Wang

  2013-08-05

  43137 4123 Pages:1045-1065

• Phase Field Model of Thermo-Induced Marangoni Effects in the Mixtures and Its Numerical Simulations with Mixed Finite Element Method

  Pengtao Sun, Chun Liu & Jinchao Xu

  2020-07-30

  39428 3868 Pages:1095-1117

• An r-Adaptive Finite Element Method for the Solution of the Two-Dimensional Phase-Field Equations

  G. Beckett, J. A. Mackenzie & M. L. Robertson

  2006-01-01

  39437 3922 Pages:805-826

• A Robust and Efficient Adaptive Multigrid Solver for the Optimal Control of Phase Field Formulations of Geometric Evolution Laws

  Feng Wei Yang, Chandrasekhar Venkataraman, Vanessa Styles & Anotida Madzvamuse

  2018-04-08

  41583 4571 Pages:65-92

• A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

  Ruihan Guo & Yan Xu

  2018-09-17

  67756 5453 Pages:123-151

• Semi-Implicit Spectral Deferred Correction Method Based on the Invariant Energy Quadratization Approach for Phase Field Problems

  Ruihan Guo & Yan Xu

  2019-02-25

  50240 5305 Pages:87-113

• An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

  Kelong Cheng, Cheng Wang, Steven M. Wise

  2019-08-27

  50716 3598 Pages:1335-1364

• Numerical Discretization of Variational Phase Field Model for Phase Transitions in Ferroelectric Thin Films

  Ruotai Li, Qiang Du, Lei Zhang

  2021-01-13

  47399 3435 Pages:729-746

• Phase-Field-Based Axisymmetric Lattice Boltzmann Method for Two-Phase Electro-Hydrodynamic Flows

  Xi Liu, Zhenhua Chai, Baochang Shi

  2021-10-26

  48246 3383 Pages:1346-1369

• A Comparative Study of Hydrodynamic Lattice Boltzmann Equation in Phase-Field-Based Multiphase Flow Models

  Qiang He, Yiqian Cheng, Fengming Hu, Weifeng Huang, Decai Li

  2024-05-06

  37477 2925 Pages:859-904

• A Multi-Mesh Adaptive Finite Element Approximation to Phase Field Models

  Xianliang Hu, Ruo Li & Tao Tang

  2009-05-01

  38976 3980 Pages:1012-1029

• Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

  Jingwen Wu, Zhijun Tan

  2024-07-29

  24127 1699 Pages:104-132

• Mesh Sensitivity for Numerical Solutions of Phase-Field Equations Using r-Adaptive Finite Element Methods

  Heyu Wang & Ruo Li

  2018-03-24

  40104 3955 Pages:357-375

• Benchmark Computations of the Phase Field Crystal and Functionalized Cahn-Hilliard Equations via Fully Implicit, Nesterov Accelerated Schemes

  Jea-Hyun Park, Abner J. Salgado, Steven M. Wise

  2023-03-13

  46477 3605 Pages:367-398

• A Phase-Field Model Coupled with Lattice Kinetics Solver for Modeling Crystal Growth in Furnaces

  Guang Lin, Jie Bao, Zhijie Xu, Alexandre M. Tartakovsky & Charles H. Henager Jr.

  2014-01-05

  40323 4172 Pages:76-92

• An Efficient and Unconditionally Energy Stable Scheme for Simulating Solid-State Dewetting of Thin Films with Isotropic Surface Energy

  Qiong-Ao Huang, Wei Jiang, Jerry Zhijian Yang

  2019-08-27

  48907 3554 Pages:1444-1470

• A Finite Element Method for a Phase Field Model of Nematic Liquid Crystal Droplets

  Amanda E. Diegel & Shawn W. Walker

  2018-09-01

  46881 5398 Pages:155-188

• Mathematical Modelling and Numerical Simulation of Dendrite Growth Using Phase-Field Method with a Magnetic Field Effect

  A. Rasheed & A. Belmiloudi

  2014-08-05

  41235 4128 Pages:477-508

• A Diffuse-Interface Lattice Boltzmann Method for the Dendritic Growth with Thermosolutal Convection

  Chengjie Zhan, Zhenhua Chai, Baochang Shi, Ping Jiang, Shaoning Geng, Dongke Sun

  2023-05-12

  36376 2877 Pages:1164-1188

• 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

  2018-04-09

  41173 3105 Pages:867-889

• Phase Field Models Versus Parametric Front Tracking Methods: Are They Accurate and Computationally Efficient?

  John W. Barrett, Harald Garcke & Robert Nürnberg

  2018-03-27

  40217 4062 Pages:506-555

• A Well-Balanced Lattice Boltzmann Model for Binary Fluids Based on the Incompressible Phase-Field Theory

  Long Ju, Peiyao Liu, Bicheng Yan, Jin Bao, Shuyu Sun, Zhaoli Guo

  2025-05-29

  8827 516 Pages:1305-1326

• Preconditioning for a Phase-Field Model with Application to Morphology Evolution in Organic Semiconductors

  Kai Bergermann, Carsten Deibel, Roland Herzog, Roderick C. I. MacKenzie, Jan-Frederik Pietschmann, Martin Stoll

  2023-08-14

  34830 3652 Pages:1-17