Efficient and accurate time adaptive multigrid simulations of droplet spreading

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...

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Bibliographic Details
Published in:International journal for numerical methods in fluids Vol. 45; no. 11; pp. 1161 - 1186
Main Authors: Gaskell, P. H., Jimack, P. K., Sellier, M., Thompson, H. M.
Format: Journal Article
Language:English
Published: Chichester, UK John Wiley & Sons, Ltd 20.08.2004
Wiley
Subjects:
adaptive time-stepping
Computational methods in fluid dynamics
droplets
Drops and bubbles
Exact sciences and technology
Fluid dynamics
fully implicit
Fundamental areas of phenomenology (including applications)
lubrication approximation
multigrid
Nonhomogeneous flows
Physics
spreading
Algorithms
Three dimensional flow
Computational fluid dynamics
Multigrid
Spreading
Digital simulation
Drops
Adaptive method
ISSN:0271-2091, 1097-0363
Online Access:Get full text
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Summary: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. Copyright © 2004 John Wiley & Sons, Ltd.
Bibliography:istex:73668ECCAED009326367EC69C67F4C7D3A0A73EE
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ISSN:0271-2091
1097-0363
DOI:10.1002/fld.632