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Efficient and accurate time adaptive multigrid simulations of droplet spreading

Gaskell, P.H., Jimack, P.K., Sellier, M. and Thompson, H.M. (2004) Efficient and accurate time adaptive multigrid simulations of droplet spreading. International Journal for Numerical Methods in Fluids, 45 (11). pp. 1161-1186. ISSN 0271-2091

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Abstract

An efficient full approximation storage (FAS) Multigrid algorithm is used to solve a range of droplet spreading flows modelled as a coupled set of non-linear lubrication equations. The algorithm is fully implicit and has embedded within it an adaptive time-stepping scheme that enables the same to be optimized in a controlled manner subject to a specific error tolerance.

The method is first validated against a range of analytical and existing numerical predictions commensurate with droplet spreading and then used to simulate a series of new, three-dimensional flows consisting of droplet motion on substrates containing topographic and wetting heterogeneities. The latter are of particular interest and reveal how droplets can be made to spread preferentially on substrates owing to an interplay between different topographic and surface wetting characteristics.

Item Type: Article
Copyright, Publisher and Additional Information: © 2004 John Wiley & Sons, Ltd. This is an author produced version of paper published in 'International Journal for Numerical Methods in Fluids.'
Keywords: droplets, spreading, multigrid, adaptive time-stepping, lubrication approximation, fully implicit
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Engineering (Leeds) > School of Mechanical Engineering (Leeds) > Institute of Engineering Thermofluids, Surfaces & Interfaces (iETSI) (Leeds)
Depositing User: Repository Assistant
Date Deposited: 01 Dec 2006
Last Modified: 08 Feb 2013 17:03
Published Version: http://dx.doi.org/10.1002/fld.632
Status: Published
Publisher: John Wiley & Sons, Ltd.
Refereed: Yes
Identification Number: 10.1002/fld.632
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1756

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