Hybrid Allen-Cahn-based lattice Boltzmann model for incompressible two-phase flows: The reduction of numerical dispersion

Yang Hu, Decai Li, Licong Jin, Xiaodong Niu, and Shi Shu
Phys. Rev. E 99, 023302 – Published 4 February 2019

Abstract

In this work a phase field-lattice Boltzmann model for incompressible two-phase flows is presented. In this model, the interface tracking equation is a linear combination of the local and nonlocal Allen-Cahn equations. We also propose a multiple-relaxation-time lattice Boltzmann model for solving the hybrid Allen-Cahn equation. The second-order convergence rate of the present model in space is validated by simulating the diagonal translation of circular interface. Three other numerical tests, including static bubble immersed in another fluid, bubble rising under gravity, and droplet splashing on a thin liquid film, are simulated to verify the performance of the present model in reducing the numerical dispersion. The numerical results indicate that the order parameter fluctuation can be reduced by one order of magnitude in bulk region.

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  • Received 27 September 2018

DOI:https://doi.org/10.1103/PhysRevE.99.023302

©2019 American Physical Society

Physics Subject Headings (PhySH)

Fluid Dynamics

Authors & Affiliations

Yang Hu*, Decai Li, and Licong Jin

  • Department of Mechanical Engineering, Tsinghua University, Beijing 100084, People's Republic of China

Xiaodong Niu

  • College of Engineering, Shantou University, Shantou 515063, People's Republic of China

Shi Shu

  • Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, People's Republic of China

  • *hy304@126.com
  • Corresponding author: lidecai@tsinghua.edu.cn

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Issue

Vol. 99, Iss. 2 — February 2019

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