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Lattice Boltzmann model for binary mixtures.

Li-Shi Luo1, Sharath S Girimaji

  • 1ICASE, Mail Stop 132C, NASA Langley Research Center, 3 West Reid Street, Building 1152, Hampton, Virginia 23681-2199, USA. luo@icase.edu

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 9, 2002
PubMed
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This study presents a new lattice Boltzmann method for binary mixtures, enabling independent control over viscosity and diffusion. This allows for modeling mixtures with any Schmidt number, overcoming limitations of previous models.

Area of Science:

  • Fluid Dynamics
  • Computational Physics
  • Statistical Mechanics

Background:

  • Existing lattice Boltzmann models for binary mixtures couple viscosity and diffusion.
  • This coupling limits simulations to a Prandtl number and Schmidt number of unity.

Purpose of the Study:

  • To derive lattice Boltzmann equations for binary mixtures with independent control over transport coefficients.
  • To enable the simulation of mixtures with arbitrary Schmidt numbers.

Main Methods:

  • A priori derivation of lattice Boltzmann equations by discretizing Boltzmann equations for binary mixtures.
  • Utilizing two relaxation parameters to independently control viscosity and diffusion coefficients.

Main Results:

Related Experiment Videos

  • Developed a model yielding two-fluid hydrodynamic equations for binary mixtures.
  • Achieved independent control of viscosity and diffusion coefficients, overcoming previous limitations.
  • Enabled modeling of mixtures with arbitrary Schmidt numbers.

    • Conclusions:

    • The new lattice Boltzmann model provides a flexible framework for simulating binary mixtures.
    • The theoretical approach is extendable to multi-species mixing scenarios.