Imperial College London
Alternate

Dr Eric E Keaveny

Faculty of Natural Sciences, Department of Mathematics

Reader in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 2780e.keaveny

 
 
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Location

 

741Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Delmotte:2015:10.1016/j.jcp.2015.09.020,
author = {Delmotte, B and Keaveny, E and Plouraboue, F and Climent, E},
doi = {10.1016/j.jcp.2015.09.020},
journal = {Journal of Computational Physics},
pages = {524--547},
title = {Large-scale simulation of steady and time-dependent active suspensions  with the force-coupling method},
url = {http://dx.doi.org/10.1016/j.jcp.2015.09.020},
volume = {302},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We present a new development of the force-coupling method (FCM) to addressthe accurate simulation of a large number of interacting micro-swimmers. Ourapproach is based on the squirmer model, which we adapt to the FCM framework,resulting in a method that is suitable for simulating semi-dilute squirmersuspensions. Other effects, such as steric interactions, can be readilyconsidered with our model. We test our method by comparing the velocity fieldaround a single squirmer and the pairwise interactions between two squirmerswith exact solutions to the Stokes equations and results given by othernumerical methods. We also illustrate our method's ability to describespheroidal swimmer shapes and biologically-relevant time-dependent swimminggaits. We detail the numerical algorithm used to compute the hydrodynamiccoupling between a large collection ($10^4-10 ^5$) of micro-swimmers. Usingthis methodology, we investigate the emergence of polar order in a suspensionof squirmers and show that for large domains, both the steady-state polar orderparameter and the growth rate of instability are independent of system size.These results demonstrate the effectiveness of our approach to achieve nearcontinuum-level results, allowing for better comparison with experimentalmeasurements while complementing and informing continuum models.
AU  - Delmotte,B
AU  - Keaveny,E
AU  - Plouraboue,F
AU  - Climent,E
DO  - 10.1016/j.jcp.2015.09.020
EP  - 547
PY  - 2015///
SN  - 1090-2716
SP  - 524
TI  - Large-scale simulation of steady and time-dependent active suspensions  with the force-coupling method
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2015.09.020
UR  - http://hdl.handle.net/10044/1/26714
VL  - 302
ER  -
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