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Direct-forcing fictitious domain method for simulating non-Brownian active particles.

Zhaowu Lin¹, Tong Gao^1,2

¹Department of Mechanical Engineering, Michigan State University, East Lansing, Michigan 48824, USA.

Physical Review. E

|September 11, 2019

Summary

We developed a direct-forcing fictitious domain method to simulate non-Brownian squirmer particles, accurately capturing hydrodynamic interactions and collisions. This method enables detailed study of active particle collective dynamics and their interactions with objects.

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Area of Science:

Computational fluid dynamics
Soft matter physics
Active matter simulations

Background:

Simulating non-Brownian particles requires resolving complex hydrodynamic interactions and collisions.
Existing methods often face challenges in accurately capturing these phenomena, especially in collective dynamics.

Purpose of the Study:

To introduce and validate a novel direct-forcing fictitious domain method for simulating non-Brownian squirmer particles.
To investigate the collective dynamics of active particle monolayers and their interactions with macroscopic objects.

Main Methods:

Developed a direct-forcing fictitious domain approach using collocation points on an Eulerian mesh.
Resolved hydrodynamic interactions and particle collisions fully.
Validated the method with benchmark problems and explored quasi-two-dimensional collective dynamics and particle-object interactions.

Main Results:

The method accurately simulates squirmer dynamics and collective behaviors.
Cylinder movement interacting with active particle monolayers is dominated by collisions.
Anisotropic cylinder shapes and inhomogeneous active particle distributions influence migration direction.

Conclusions:

The direct-forcing fictitious domain method is effective for simulating complex active particle systems.
Collision dynamics are crucial in the interaction between active particles and macroscopic objects.
Particle distribution and object shape significantly impact active particle-mediated transport.