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Generalized lattice Boltzmann method with multirange pseudopotential.

M Sbragaglia1, R Benzi, L Biferale

  • 1Department of Applied Physics, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 16, 2007
PubMed
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This study introduces an advanced pseudopotential model for simulating multiphase flows, allowing independent control over equation of state and surface tension. The enhanced model improves accuracy and flexibility for lattice Boltzmann method simulations.

Area of Science:

  • Computational physics
  • Fluid dynamics
  • Mesoscopic modeling

Background:

  • Multiphase flow simulations are crucial in various scientific and engineering fields.
  • Existing mesoscopic models, like the Shan-Chen method, have limitations in flexibility and accuracy, particularly concerning surface tension and equation of state.
  • Accurate simulation of interfaces in multiphase systems requires robust and tunable models.

Purpose of the Study:

  • To develop an extended pseudopotential model for mesoscopic multiphase flows.
  • To enable independent tuning of the equation of state and surface tension.
  • To enhance the applicability and flexibility of the Shan-Chen methodology for lattice Boltzmann method simulations.

Main Methods:

  • Analysis of physical behavior near interfaces in mesoscopic multiphase flow models.

Related Experiment Videos

  • Development of an extended pseudopotential method.
  • Rigorous computation of higher-order schemes for self-consistent forcings in 2D and 3D.
  • Investigation of spurious velocity contributions under grid refinement and isotropy.

    • Main Results:

    • The extended pseudopotential method allows independent control of equation of state and surface tension.
    • Spurious velocity contributions are shown to vanish with increased grid refinement and/or isotropy.
    • Higher-order schemes for self-consistent forcings are computed for 2D and 3D.
    • The model enhances applicability for multiphase flow simulations up to density ratios of O(100).

    Conclusions:

    • The developed extended pseudopotential model offers significant improvements over existing methods.
    • The theoretical foundations of the Shan-Chen methodology are clarified and enhanced.
    • The model provides greater flexibility and accuracy for simulating complex multiphase flows.