Imperial College London
Alternate

Dr Eric E Keaveny

Faculty of Natural Sciences, Department of Mathematics

Reader in Applied Mathematics
 
 
 
//

Contact

 

+44 (0)20 7594 2780e.keaveny

 
 
//

Location

 

741Huxley BuildingSouth Kensington Campus

//

Summary

 

Publications

Citation

BibTex format

@unpublished{Keaveny:2020,
author = {Keaveny, E and Townsend, A and Westwood, T and Scholler, S},
publisher = {arXiv},
title = {Methods for suspensions of passive and active filaments},
url = {https://arxiv.org/abs/1903.12609v2},
year = {2020}
}
Download

RIS format (EndNote, RefMan)

TY  - UNPB
AB  - Flexible filaments and fibres are essential components of important complex fluids that appear in many biological and industrial settings. Direct simulations of these systems that capture the motion and deformation of many immersed filaments in suspension remain a formidable computational challenge due to the complex, coupled fluid--structure interactions of all filaments, the numerical stiffness associated with filament bending, and the various constraints that must be maintained as the filaments deform. In this paper, we address these challenges by first describing filament kinematics using quaternions to resolve both bending and twisting, applying implicit time-integration to alleviate numerical stiffness, and using quasi-Newton methods to obtain solutions to the resulting system of nonlinear equations. In particular, we employ geometric time integration to ensure that the quaternions remain unit as the filaments move. We also show that our framework can be used with a variety of models and methods, including matrix-free fast methods, that resolve low Reynolds number hydrodynamic interactions. We provide a series of tests and example simulations to demonstrate the performance and possible applications of our method. Finally, we provide a link to a MATLAB/Octave implementation of our framework that can be used to learn more about our approach and as a tool for filament simulation.
AU  - Keaveny,E
AU  - Townsend,A
AU  - Westwood,T
AU  - Scholler,S
PB  - arXiv
PY  - 2020///
TI  - Methods for suspensions of passive and active filaments
UR  - https://arxiv.org/abs/1903.12609v2
UR  - http://hdl.handle.net/10044/1/77442
ER  -
Download