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Related Experiment Videos

Thirteen-velocity three-dimensional lattice Boltzmann model.

D d'Humières1, M Bouzidi, P Lallemand

  • 1Laboratoire CNRS-ASCI, Bâtiment 506, Université Paris-Sud (Paris XI Orsay), 91405 Orsay Cedex, France. dominique.dhumieres@lps.ens.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 21, 2001
PubMed
Summary

A new lattice Boltzmann model simulates fluid dynamics, accurately predicting drag and vortex decay. This computational fluid dynamics approach offers a viable alternative to traditional methods.

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Area of Science:

  • Computational fluid dynamics
  • Fluid mechanics
  • Numerical simulation

Background:

  • The lattice Boltzmann method (LBM) is a powerful computational fluid dynamics technique.
  • Accurate simulation of fluid flow requires robust numerical models.
  • Validation against established methods like Navier-Stokes is crucial for new models.

Purpose of the Study:

  • To present a thirteen-velocity, three-dimensional lattice Boltzmann model on a cubic grid.
  • To derive transport coefficients using the Chapman-Enskog expansion.
  • To validate the model's accuracy against experimental and analytical solutions.

Main Methods:

  • Development of a thirteen-velocity, three-dimensional lattice Boltzmann model.
  • Application of the Chapman-Enskog expansion to derive transport coefficients.

Related Experiment Videos

  • Comparison with Navier-Stokes solutions for free-falling sphere drag and torque.
  • Analysis of Taylor-Green vortex decay using the model and fast Fourier transform.

    • Main Results:

    • The model successfully predicts transport coefficients, ensuring isotropy and Galilean invariance.
    • Measurements of drag and torque on a free-falling sphere show good agreement with Navier-Stokes solutions.
    • The time evolution of a decaying Taylor-Green vortex computed by the model closely matches fast Fourier transform results.

    Conclusions:

    • The presented lattice Boltzmann model is accurate and reliable for simulating fluid dynamics.
    • The model provides a valid computational approach for fluid flow problems.
    • This work contributes to the advancement of numerical methods in fluid mechanics.