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A general formulation of Bead Models applied to flexible fibers and active filaments at low Reynolds number

Delmotte, Blaise and Climent, Éric and Plouraboué, Franck A general formulation of Bead Models applied to flexible fibers and active filaments at low Reynolds number. (2015) Journal of Computational Physics, vol. 286. pp. 14-37. ISSN 0021-9991

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Official URL: http://dx.doi.org/10.1016/j.jcp.2015.01.026

Abstract

This contribution provides a general framework to use Lagrange multipliers for the simulation of low Reynolds number fiber dynamics based on Bead Models (BM). This formalism provides an efficient method to account for kinematic constraints. We illustrate, with several examples, to which extent the proposed formulation offers a flexible and versatile framework for the quantitative modeling of flexible fibers deformation and rotation in shear flow, the dynamics of actuated filaments and the propulsion of active swimmers. Furthermore, a new contact model called Gears Model is proposed and successfully tested. It avoids the use of numerical artifices such as repulsive forces between adjacent beads, a source of numerical difficulties in the temporal integration of previous Bead Models.

Item Type:Article
Additional Information:Thanks to Elsevier editor. The definitive version is available at http://www.sciencedirect.com/science/article/pii/S0021999115000303
HAL Id:hal-01121600
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:French research institutions > Centre National de la Recherche Scientifique - CNRS (FRANCE)
Université de Toulouse > Institut National Polytechnique de Toulouse - INPT (FRANCE)
Université de Toulouse > Université Toulouse III - Paul Sabatier - UPS (FRANCE)
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Deposited By: Franck PLOURABOUE
Deposited On:02 Mar 2015 10:49

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