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| Lattice Boltzmann model for interface capturing of multiphase flows based on Allen–Cahn equation | |
| 引用本文： | 王贺,田方宝,刘向东. Lattice Boltzmann model for interface capturing of multiphase flows based on Allen–Cahn equation[J]. 中国物理 B, 2022, 31(2): 24701-024701. DOI: 10.1088/1674-1056/ac11d8 |
| 作者姓名： | 王贺 田方宝 刘向东 |
| 作者单位： | 1.Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China;2.School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600, Australia;3.College of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, China |
| 基金项目： | supported by the National Key Research and Development Program of China(Grant No.2019YFB1504301);the Australian Research Council(Grant No.DE160101098)。 |
| 摘 要： | A phase-field-based lattice Boltzmann model is proposed for the interface capturing of multi-phase flows based on the conservative Allen–Cahn equation(ACE).By adopting the improved form of a relaxation matrix and an equilibrium distribution function,the time derivative?t(φ)induced by recovering the diffusion term in ACE is eliminated.The conducted Chapman–Enskog analysis demonstrates that the correct conservative ACE is recovered.Four benchmark cases including Zalesak’s disk rotation,vortex droplet,droplet impact on thin film,and Rayleigh–Taylor instability are investigated to validate the proposed model.The numerical results indicate that the proposed model can accurately describe the complex interface deformation. |
| 关 键 词： | lattice Boltzmann method phase field multiphase flow |
| 收稿时间： | 2021-04-26 |
Lattice Boltzmann model for interface capturing of multiphase flows based on Allen-Cahn equation |
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| He Wang,Fang-Bao Tian,Xiang-Dong Liu. Lattice Boltzmann model for interface capturing of multiphase flows based on Allen-Cahn equation[J]. Chinese Physics B, 2022, 31(2): 24701-024701. DOI: 10.1088/1674-1056/ac11d8 | |
| Authors: | He Wang Fang-Bao Tian Xiang-Dong Liu |
| Affiliation: | 1.Key Laboratory of Energy Thermal Conversion and Control of Ministry of Education, School of Energy and Environment, Southeast University, Nanjing 210096, China;2.School of Engineering and Information Technology, University of New South Wales, Canberra, ACT 2600, Australia;3.College of Electrical, Energy and Power Engineering, Yangzhou University, Yangzhou 225127, China |
| Abstract: | A phase-field-based lattice Boltzmann model is proposed for the interface capturing of multi-phase flows based on the conservative Allen-Cahn equation (ACE). By adopting the improved form of a relaxation matrix and an equilibrium distribution function, the time derivative ∂t(φu) induced by recovering the diffusion term in ACE is eliminated. The conducted Chapman-Enskog analysis demonstrates that the correct conservative ACE is recovered. Four benchmark cases including Zalesak's disk rotation, vortex droplet, droplet impact on thin film, and Rayleigh-Taylor instability are investigated to validate the proposed model. The numerical results indicate that the proposed model can accurately describe the complex interface deformation. |
| Keywords: | lattice Boltzmann method phase field multiphase flow |
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