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A lattice Boltzmann model for squirmers.

Michael Kuron1, Philipp Stärk1, Christian Burkard1

  • 1Institute for Computational Physics, University of Stuttgart, Allmandring 3, 70569 Stuttgart, Germany.

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|April 15, 2019
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Summary

The lattice Boltzmann (LB) method accurately simulates microswimmer hydrodynamics, but requires fine grid resolution. This study validates LB for squirmer models in various scenarios, establishing minimum resolution needs.

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Area of Science:

  • Fluid dynamics
  • Computational physics
  • Microhydrodynamics

Background:

  • The squirmer model is a fundamental tool for understanding microswimmer propulsion.
  • Lattice Boltzmann (LB) methods are effective for complex fluid dynamics problems.

Purpose of the Study:

  • To investigate the accuracy of the lattice Boltzmann method for simulating squirmer hydrodynamics.
  • To determine the necessary grid resolution for accurate LB simulations of microswimmers.

Main Methods:

  • Implementation of the squirmer model within the lattice Boltzmann framework.
  • Validation through four hydrodynamic tests: far-field flow, squirmer-squirmer interactions, confined flow, and scattering.
  • Comparison with results from other hydrodynamic solvers.

Main Results:

  • The LB method accurately captures squirmer hydrodynamics, including near-field and far-field behaviors.
  • A fine grid resolution is unexpectedly crucial for accurate physical flow field representation.
  • Good agreement was achieved with established numerical results, and minimum resolution requirements were identified.

Conclusions:

  • The lattice Boltzmann method is a viable and accurate approach for simulating squirmer microswimmers.
  • Careful attention to grid resolution is essential for reliable LB simulations in microhydrodynamics.
  • The validated LB algorithm is suitable for complex multi-squirmer simulations.