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Quantitative Locomotion Study of Freely Swimming Micro-organisms Using Laser Diffraction
Published on: October 25, 2012
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Lattice-Boltzmann simulations of microswimmer-tracer interactions
Joost de Graaf1, Joakim Stenhammar2
1SUPA, School of Physics and Astronomy, University of Edinburgh, King's Buildings, Peter Guthrie Tait Road, Edinburgh, EH9 3FD, United Kingdom.
Physical Review. E
|March 17, 2017
Summary
This study validates an efficient lattice-Boltzmann algorithm for simulating microswimmer suspensions. The algorithm accurately captures hydrodynamic interactions, crucial for understanding tracer dynamics in complex fluid systems.
Area of Science:
- Fluid dynamics
- Computational physics
- Soft matter physics
Background:
- Hydrodynamic interactions significantly influence tracer dynamics in microswimmer systems.
- Simulating these interactions is computationally expensive, limiting current research.
- Efficient algorithms are needed to accurately model these complex fluid behaviors.
Purpose of the Study:
- To systematically investigate swimmer-tracer interactions using an efficient lattice-Boltzmann (LB) algorithm.
- To validate the LB algorithm's ability to capture low-Reynolds-number physics relevant to microswimmer systems.
- To analyze the impact of LB algorithm's force-lattice coupling on tracer trajectories.
Main Methods:
- Utilized an efficient force-counterforce-based lattice-Boltzmann (LB) algorithm.
- Performed simulations in systems with periodic boundary conditions and in a spherical cavity with no-slip walls.
- Derived expressions for the spherical cavity system and analyzed tracer trajectory perturbations.
Main Results:
- The LB algorithm accurately reproduces theoretical far-field results in both tested systems.
- Force-lattice coupling in the LB algorithm perturbs tracer trajectories at close separations.
- Deviations from Stokes flow predictions arise due to finite momentum transport time in LB simulations.
Conclusions:
- The validated LB algorithm is suitable for simulating microswimmer suspensions and their hydrodynamic interactions.
- Renormalized hydrodynamic theory can accurately capture the effects of flow field smearing at close separations.
- Careful consideration of LB algorithm's finite momentum transport time is necessary for accurate simulations of self-propelled particle systems.

