Close Search Advanced
Journals
Resources
About Us
Open Access

A Flux-Corrected Phase-Field Method for Surface Diffusion

A Flux-Corrected Phase-Field Method for Surface Diffusion
Preview
Add to basket

Year:    2017

Communications in Computational Physics, Vol. 22 (2017), Iss. 2 : pp. 422–440

Abstract

Phase-field methods with a degenerate mobility have been widely used to simulate surface diffusion motion. However, apart from the motion induced by surface diffusion, adverse effects such as shrinkage, coarsening and false merging have been observed in the results obtained from the current phase-field methods, which largely affect the accuracy and numerical stability of these methods. In this paper, a flux-corrected phase-field method is proposed to improve the performance of phase-field methods for simulating surface diffusion. The three effects were numerically studied for the proposed method and compared with those observed in the two existing methods, the original phase-field method and the profile-corrected phase-field method. Results show that compared to the original phase-field method, the shrinkage effect in the profile-corrected phase-field method has been significantly reduced. However, coarsening and false merging effects still present and can be significant in some cases. The flux-corrected phase field performs the best in terms of eliminating the shrinkage and coarsening effects. The false merging effect still exists when the diffuse regions of different interfaces overlap with each other. But it has been much reduced as compared to that in the other two methods.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2016-0150

Communications in Computational Physics, Vol. 22 (2017), Iss. 2 : pp. 422–440

Published online:    2017-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    19

Keywords:   

  1. Generalized conservative phase field model and its lattice Boltzmann scheme for multicomponent multiphase flows

    Hu, Yang | Li, Decai | He, Qiang

    International Journal of Multiphase Flow, Vol. 132 (2020), Iss. P.103432

    https://doi.org/10.1016/j.ijmultiphaseflow.2020.103432 [Citations: 31]

  2. A conservative finite difference scheme for the N-component Cahn–Hilliard system on curved surfaces in 3D

    Yang, Junxiang | Li, Yibao | Lee, Chaeyoung | Jeong, Darae | Kim, Junseok

    Journal of Engineering Mathematics, Vol. 119 (2019), Iss. 1 P.149

    https://doi.org/10.1007/s10665-019-10023-9 [Citations: 7]

  3. Consistent and conservative scheme for incompressible two-phase flows using the conservative Allen-Cahn model

    Huang, Ziyang | Lin, Guang | Ardekani, Arezoo M.

    Journal of Computational Physics, Vol. 420 (2020), Iss. P.109718

    https://doi.org/10.1016/j.jcp.2020.109718 [Citations: 35]

  4. Phase-field modeling of complex interface dynamics in drop-laden turbulence

    Roccon, Alessio | Zonta, Francesco | Soldati, Alfredo

    Physical Review Fluids, Vol. 8 (2023), Iss. 9

    https://doi.org/10.1103/PhysRevFluids.8.090501 [Citations: 11]

  5. Conservative Allen–Cahn equation with a nonstandard variable mobility

    Yang, Junxiang | Li, Yibao | Lee, Chaeyoung | Kim, Junseok

    Acta Mechanica, Vol. 231 (2020), Iss. 2 P.561

    https://doi.org/10.1007/s00707-019-02548-y [Citations: 4]

  6. Unconditionally energy-stable time-marching methods for the multi-phase conservative Allen–Cahn fluid models based on a modified SAV approach

    Wu, Jingwen | Yang, Junxiang | Tan, Zhijun

    Computer Methods in Applied Mechanics and Engineering, Vol. 398 (2022), Iss. P.115291

    https://doi.org/10.1016/j.cma.2022.115291 [Citations: 9]

  7. A fractional step lattice Boltzmann model for two-phase flow with large density differences

    Zhang, Chunhua | Guo, Zhaoli | Li, Yibao

    International Journal of Heat and Mass Transfer, Vol. 138 (2019), Iss. P.1128

    https://doi.org/10.1016/j.ijheatmasstransfer.2019.04.101 [Citations: 28]

  8. Particle capture by drops in turbulent flow

    Hajisharifi, Arash | Marchioli, Cristian | Soldati, Alfredo

    Physical Review Fluids, Vol. 6 (2021), Iss. 2

    https://doi.org/10.1103/PhysRevFluids.6.024303 [Citations: 13]

  9. A redefined energy functional to prevent mass loss in phase-field methods

    Kwakkel, M. | Fernandino, M. | Dorao, C. A.

    AIP Advances, Vol. 10 (2020), Iss. 6

    https://doi.org/10.1063/1.5142353 [Citations: 6]

  10. Breakage, coalescence and size distribution of surfactant-laden droplets in turbulent flow

    Soligo, Giovanni | Roccon, Alessio | Soldati, Alfredo

    Journal of Fluid Mechanics, Vol. 881 (2019), Iss. P.244

    https://doi.org/10.1017/jfm.2019.772 [Citations: 57]

  11. Direct simulation of viscoelastic-viscoelastic emulsions in sliding bi-periodic frames using Cahn–Hilliard formulation

    Lee, Junghaeng | Hwang, Wook Ryol | Cho, Kwang Soo

    Journal of Non-Newtonian Fluid Mechanics, Vol. 318 (2023), Iss. P.105061

    https://doi.org/10.1016/j.jnnfm.2023.105061 [Citations: 0]

  12. A variational interface-preserving and conservative phase-field method for the surface tension effect in two-phase flows

    Mao, Xiaoyu | Joshi, Vaibhav | Jaiman, Rajeev

    Journal of Computational Physics, Vol. 433 (2021), Iss. P.110166

    https://doi.org/10.1016/j.jcp.2021.110166 [Citations: 16]

  13. An interfacial profile-preserving approach for phase field modeling of incompressible two-phase flows

    Hao, Haohao | Li, Xiangwei | Jiang, Chenglin | Tan, Huanshu

    International Journal of Multiphase Flow, Vol. 174 (2024), Iss. P.104750

    https://doi.org/10.1016/j.ijmultiphaseflow.2024.104750 [Citations: 0]

  14. Influence of density and viscosity on deformation, breakage, and coalescence of bubbles in turbulence

    Mangani, Francesca | Soligo, Giovanni | Roccon, Alessio | Soldati, Alfredo

    Physical Review Fluids, Vol. 7 (2022), Iss. 5

    https://doi.org/10.1103/PhysRevFluids.7.053601 [Citations: 15]

  15. An adaptive-correction algorithm for suppressing interface smearing in incompressible multiphase flows with complex interfacial behavior

    Zhang, Tongwei | Kaku, Chuyo | Zhang, Deli | Dong, Fei

    Modern Physics Letters B, Vol. 38 (2024), Iss. 19

    https://doi.org/10.1142/S0217984924501537 [Citations: 0]

  16. An Interface-Corrected Diffuse Interface Model for Incompressible Multiphase Flows with Large Density Ratios

    Guo, Yuhao | Wang, Yan | Hao, Qiqi | Wang, Tongguang

    Applied Sciences, Vol. 12 (2022), Iss. 18 P.9337

    https://doi.org/10.3390/app12189337 [Citations: 1]

  17. Effect of surfactant-laden droplets on turbulent flow topology

    Soligo, Giovanni | Roccon, Alessio | Soldati, Alfredo

    Physical Review Fluids, Vol. 5 (2020), Iss. 7

    https://doi.org/10.1103/PhysRevFluids.5.073606 [Citations: 20]

  18. Mass-conservation-improved phase field methods for turbulent multiphase flow simulation

    Soligo, Giovanni | Roccon, Alessio | Soldati, Alfredo

    Acta Mechanica, Vol. 230 (2019), Iss. 2 P.683

    https://doi.org/10.1007/s00707-018-2304-2 [Citations: 43]

  19. Central-moment discrete unified gas-kinetic scheme for incompressible two-phase flows with large density ratio

    Zhang, Chunhua | Wang, Lian-Ping | Liang, Hong | Guo, Zhaoli

    Journal of Computational Physics, Vol. 482 (2023), Iss. P.112040

    https://doi.org/10.1016/j.jcp.2023.112040 [Citations: 6]

  20. Modified phase-field-based lattice Boltzmann model for incompressible multiphase flows

    Xu, Xingchun | Hu, Yanwei | Dai, Bing | Yang, Lei | Han, Jiecai | He, Yurong | Zhu, Jiaqi

    Physical Review E, Vol. 104 (2021), Iss. 3

    https://doi.org/10.1103/PhysRevE.104.035305 [Citations: 12]

  21. An interface-compressed diffuse interface method and its application for multiphase flows

    Zhang, Tongwei | Wu, Jie | Lin, Xingjian

    Physics of Fluids, Vol. 31 (2019), Iss. 12

    https://doi.org/10.1063/1.5116035 [Citations: 34]

  22. Turbulent Flows With Drops and Bubbles: What Numerical Simulations Can Tell Us—Freeman Scholar Lecture

    Soligo, Giovanni | Roccon, Alessio | Soldati, Alfredo

    Journal of Fluids Engineering, Vol. 143 (2021), Iss. 8

    https://doi.org/10.1115/1.4050532 [Citations: 27]

  23. Consistent, energy-conserving momentum transport for simulations of two-phase flows using the phase field equations

    Mirjalili, Shahab | Mani, Ali

    Journal of Computational Physics, Vol. 426 (2021), Iss. P.109918

    https://doi.org/10.1016/j.jcp.2020.109918 [Citations: 37]

  24. Deformation of drops by outer eddies in turbulence

    Vela-Martín, Alberto | Avila, Marc

    Journal of Fluid Mechanics, Vol. 929 (2021), Iss.

    https://doi.org/10.1017/jfm.2021.879 [Citations: 27]

  25. Consistent, essentially conservative and balanced-force Phase-Field method to model incompressible two-phase flows

    Huang, Ziyang | Lin, Guang | Ardekani, Arezoo M.

    Journal of Computational Physics, Vol. 406 (2020), Iss. P.109192

    https://doi.org/10.1016/j.jcp.2019.109192 [Citations: 39]