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Related Experiment Videos

Multiple-relaxation-time lattice-Boltzmann model for multiphase flow.

Michael E McCracken1, John Abraham

  • 1Department of Mechanical Engineering, Purdue University, West Lafayette, Indiana 47907, USA. michael.e.mccracken@exxonmobil.com

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|May 21, 2005
PubMed
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The multiple-relaxation-time (MRT) lattice-Boltzmann model improves numerical stability in multiphase flow simulations. This enhanced model achieves stable results at lower viscosities compared to the Bhatnagar-Gross-Krook (BGK) model.

Area of Science:

  • Computational fluid dynamics
  • Multiphase flow simulation
  • Numerical analysis

Background:

  • The lattice-Boltzmann method (LBM) is effective for multiphase flow simulation.
  • The Bhatnagar-Gross-Krook (BGK) collision operator in LBM faces numerical stability issues with decreasing relaxation times.
  • Existing research suggests multiple-relaxation-time (MRT) models as a potential solution to enhance stability.

Purpose of the Study:

  • To develop and evaluate a multiple-relaxation-time (MRT) lattice-Boltzmann model for multiphase flows.
  • To assess the numerical stability and accuracy of the proposed MRT model.
  • To compare the performance of the MRT model against the traditional BGK model.

Main Methods:

  • Development of a novel MRT lattice-Boltzmann model tailored for multiphase flow.

Related Experiment Videos

  • Implementation and testing of the model using standard multiphase flow benchmarks.
  • Quantitative analysis of numerical stability and accuracy across various test cases.

    • Main Results:

    • The developed MRT lattice-Boltzmann model demonstrates enhanced numerical stability.
    • The MRT model successfully simulates multiphase flows, including oscillating liquid cylinders and capillary waves.
    • Numerically stable simulations were achieved at significantly lower viscosities compared to the BGK model.

    Conclusions:

    • The MRT lattice-Boltzmann model offers a robust alternative for simulating multiphase flows.
    • This approach overcomes the numerical stability limitations associated with the BGK collision operator.
    • The MRT model provides a pathway for more accurate and stable simulations in complex fluid dynamics problems.