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{Westwood:2022:10.1016/j.jcp.2022.111437,
author = {Westwood, TA and Delmotte, B and Keaveny, EE},
doi = {10.1016/j.jcp.2022.111437},
journal = {Journal of Computational Physics},
title = {A generalised drift-correcting time integration scheme for Brownian suspensions of rigid particles with arbitrary shape},
url = {http://dx.doi.org/10.1016/j.jcp.2022.111437},
volume = {467},
year = {2022}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - The efficient computation of the overdamped, random motion of micron and nanometre scale particles in a viscous fluid requires novel methods to obtain the hydrodynamic interactions, random displacements and Brownian drift at minimal cost. Capturing Brownian drift is done most efficiently through a judiciously constructed time-integration scheme that automatically accounts for its contribution to particle motion. In this paper, we present a generalised drift-correcting (gDC) scheme that accounts for Brownian drift for suspensions of rigid particles with arbitrary shape. The scheme seamlessly integrates with fast methods for computing the hydrodynamic interactions and random increments and requires a single full mobility solve per time-step. As a result, the gDC provides increased computational efficiency when used in conjunction with grid-based methods that employ fluctuating hydrodynamics to obtain the random increments. Further, for these methods the additional computations that the scheme requires occur at the level of individual particles, and hence lend themselves naturally to parallel computation. We perform a series of simulations that demonstrate the gDC obtains similar levels of accuracy as compared with the existing state-of-the-art. In addition, these simulations illustrate the gDC's applicability to a wide array of relevant problems involving Brownian suspensions of non-spherical particles, such as the structure of liquid crystals and the rheology of complex fluids.
AU  - Westwood,TA
AU  - Delmotte,B
AU  - Keaveny,EE
DO  - 10.1016/j.jcp.2022.111437
PY  - 2022///
SN  - 0021-9991
TI  - A generalised drift-correcting time integration scheme for Brownian suspensions of rigid particles with arbitrary shape
T2  - Journal of Computational Physics
UR  - http://dx.doi.org/10.1016/j.jcp.2022.111437
VL  - 467
ER  -
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