| ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS |
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Lattice Boltzmann model for interface capturing of multiphase flows based on Allen-Cahn equation |
| He Wang(王贺)1, Fang-Bao Tian(田方宝)2, and Xiang-Dong Liu(刘向东)1,3,† |
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 |
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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.
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Received: 26 April 2021
Revised: 28 June 2021
Accepted manuscript online: 07 July 2021
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PACS:
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47.11.-j
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(Computational methods in fluid dynamics)
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47.61.Jd
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(Multiphase flows)
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47.11.Qr
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(Lattice gas)
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Corresponding Authors:
Xiang-Dong Liu
E-mail: liuxd@yzu.edu.cn
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Cite this article:
He Wang(王贺), Fang-Bao Tian(田方宝), and Xiang-Dong Liu(刘向东) Lattice Boltzmann model for interface capturing of multiphase flows based on Allen-Cahn equation 2022 Chin. Phys. B 31 024701
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