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Lattice Boltzmann method for viscoelastic fluids.

Iaroslav Ispolatov1, Martin Grant

  • 1Centre for the Physics of Materials, Physics Department, Rutherford Building, McGill University, 3600 rue University, Montréal, Québec, Canada, H3A 2T8.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 13, 2002
PubMed
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This study introduces a lattice Boltzmann model for simulating viscoelastic flow, incorporating elastic effects using a Maxwell model. The model successfully captures shear phenomena and validates well against theoretical predictions for viscoelastic fluids.

Area of Science:

  • Computational fluid dynamics
  • Rheology
  • Statistical mechanics

Background:

  • Viscoelastic fluids exhibit both viscous and elastic properties.
  • Simulating viscoelastic flow is computationally challenging.
  • Existing models may not fully capture complex elastic behaviors.

Purpose of the Study:

  • To develop a novel lattice Boltzmann model for viscoelastic flow.
  • To incorporate elastic effects via a Maxwell model.
  • To validate the model's accuracy in predicting shear phenomena.

Main Methods:

  • Developed a lattice Boltzmann model incorporating a Maxwell constitutive equation.
  • Analyzed the transverse velocity autocorrelation function for shear.
  • Investigated boundary-driven shear waves and resonant oscillations.

Related Experiment Videos

  • Compared simulation results with Navier-Stokes predictions.

    • Main Results:

    • Observed clear manifestations of shear at high frequencies in a freely evolving system.
    • Characterized boundary-driven shear waves.
    • Demonstrated resonant enhancement of shear oscillations in confined fluids.
    • Achieved good agreement between simulated and theoretical shear-wave dispersion relations.

    Conclusions:

    • The proposed lattice Boltzmann model accurately simulates viscoelastic flow.
    • The model effectively captures elastic effects and shear wave phenomena.
    • This approach provides a robust tool for studying complex fluid dynamics.