All good things come in threes-Three beads learn to swim with lattice Boltzmann and a rigid body solver

Kristina Pickl; Jan Götz; Klaus Iglberger; Jayant Pande; Klaus Mecke; Ana Sunčana Smith; Ulrich Rüde

doi:10.1016/j.jocs.2012.04.009

All good things come in threes-Three beads learn to swim with lattice Boltzmann and a rigid body solver

Kristina Pickl, Jan Götz, Klaus Iglberger, Jayant Pande, Klaus Mecke, Ana Sunčana Smith, Ulrich Rüde

Friedrich-Alexander University Erlangen-Nürnberg

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We simulate the self-propulsion of devices in a fluid in the regime of low Reynolds numbers. Each device consists of three bodies (spheres or capsules) connected with two damped harmonic springs. Sinusoidal driving forces compress the springs which are resolved within a rigid body physics engine. The latter is consistently coupled to a 3D lattice Boltzmann framework for the fluid dynamics. In simulations of three-sphere devices, we find that the propulsion velocity agrees well with theoretical predictions. In simulations where some or all spheres are replaced by capsules, we find that the asymmetry of the design strongly affects the propelling efficiency.

Original language	English
Pages (from-to)	374-387
Number of pages	14
Journal	Journal of Computational Science
Volume	3
Issue number	5
DOIs	https://doi.org/10.1016/j.jocs.2012.04.009
State	Published - Sep 2012
Externally published	Yes

Bibliographical note

Funding Information:
The work was supported by the Kompetenznetzwerk für Technisch-Wissenschaftliches Hoch- und Höchstleistungsrechnen in Bayern ( konwihr ) under project waLBerlaMC and the Bundesministerium für Bildung und Forschung under the SKALB project no. 01IH08003A. Moreover, the authors gratefully acknowledge the support of the Cluster of Excellence ‘Engineering of Advanced Materials’ at the University of Erlangen-Nuremberg, which is funded by the German Research Foundation (DFG) within the framework of its ‘Excellence Initiative’.

Funding

The work was supported by the Kompetenznetzwerk für Technisch-Wissenschaftliches Hoch- und Höchstleistungsrechnen in Bayern ( konwihr ) under project waLBerlaMC and the Bundesministerium für Bildung und Forschung under the SKALB project no. 01IH08003A. Moreover, the authors gratefully acknowledge the support of the Cluster of Excellence ‘Engineering of Advanced Materials’ at the University of Erlangen-Nuremberg, which is funded by the German Research Foundation (DFG) within the framework of its ‘Excellence Initiative’.

Funders	Funder number
Kompetenznetzwerk für Technisch-Wissenschaftliches Hoch- und Höchstleistungsrechnen in Bayern
University of Erlangen-Nuremberg
Deutsche Forschungsgemeinschaft
Bundesministerium für Bildung und Forschung	01IH08003A

Keywords

Lattice Boltzmann method
Numerical simulation
Self-propelled microorganism
Stokes flow

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10.1016/j.jocs.2012.04.009

Cite this

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title = "All good things come in threes-Three beads learn to swim with lattice Boltzmann and a rigid body solver",

abstract = "We simulate the self-propulsion of devices in a fluid in the regime of low Reynolds numbers. Each device consists of three bodies (spheres or capsules) connected with two damped harmonic springs. Sinusoidal driving forces compress the springs which are resolved within a rigid body physics engine. The latter is consistently coupled to a 3D lattice Boltzmann framework for the fluid dynamics. In simulations of three-sphere devices, we find that the propulsion velocity agrees well with theoretical predictions. In simulations where some or all spheres are replaced by capsules, we find that the asymmetry of the design strongly affects the propelling efficiency.",

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author = "Kristina Pickl and Jan G{\"o}tz and Klaus Iglberger and Jayant Pande and Klaus Mecke and Smith, {Ana Sun{\v c}ana} and Ulrich R{\"u}de",

note = "Funding Information: The work was supported by the Kompetenznetzwerk f{\"u}r Technisch-Wissenschaftliches Hoch- und H{\"o}chstleistungsrechnen in Bayern ( konwihr ) under project waLBerlaMC and the Bundesministerium f{\"u}r Bildung und Forschung under the SKALB project no. 01IH08003A. Moreover, the authors gratefully acknowledge the support of the Cluster of Excellence {\textquoteleft}Engineering of Advanced Materials{\textquoteright} at the University of Erlangen-Nuremberg, which is funded by the German Research Foundation (DFG) within the framework of its {\textquoteleft}Excellence Initiative{\textquoteright}. ",

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AU - Mecke, Klaus

AU - Smith, Ana Sunčana

AU - Rüde, Ulrich

N1 - Funding Information: The work was supported by the Kompetenznetzwerk für Technisch-Wissenschaftliches Hoch- und Höchstleistungsrechnen in Bayern ( konwihr ) under project waLBerlaMC and the Bundesministerium für Bildung und Forschung under the SKALB project no. 01IH08003A. Moreover, the authors gratefully acknowledge the support of the Cluster of Excellence ‘Engineering of Advanced Materials’ at the University of Erlangen-Nuremberg, which is funded by the German Research Foundation (DFG) within the framework of its ‘Excellence Initiative’.

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KW - Numerical simulation

KW - Self-propelled microorganism

KW - Stokes flow

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All good things come in threes-Three beads learn to swim with lattice Boltzmann and a rigid body solver

Abstract

Bibliographical note

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Keywords

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