• Title/Summary/Keyword: Cahn-Hilliard equaion

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Two-dimensional Numerical Simulation of the Rising Bubble Flows Using the Two Phase Lattice Boltzmann Method (2상 격자 볼츠만 방법을 이용한 상승하는 기포 유동 2차원 수치 모사)

  • Ryu, Seung-Yeob;Park, Cheon-Tae;Han, Seung-Yeul;Ko, Sung-Ho
    • The KSFM Journal of Fluid Machinery
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    • v.13 no.4
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    • pp.31-36
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    • 2010
  • Free energy based lattice Boltzmann method (LBM) has been used to simulate the rising bubble flows with large density ratio. LBM with compact discretization is able to reduce the spurious current of the static bubble test and be satisfied with the Laplace law. The terminal rise velocity and shape of the bubbles are dependent on Eotvos number, Morton number and Reynolds number. For single bubble flows, simulations are executed for various Eotvos number, Morton number and Reynolds number, and the results are agreed well with the experiments. For multiple bubbles, the bubble flow characteristics are related by the vortex pattern of the leading bubble. The coalescence of the bubbles are simulated successfully and the subsequent results are presented. The present method is validated for static, dynamic bubble test cases and compared to the numerical, experimental results.