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Finite element simulation of three-dimensional free-surface flow problems

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A. and Summers, J.L. (2005) Finite element simulation of three-dimensional free-surface flow problems. Journal of Scientific Computing, 24 (2). pp. 147-162. ISSN 0885-7474

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An adaptive finite element algorithm is described for the stable solution of three-dimensional free-surface-flow problems based primarily on the use of node movement. The algorithm also includes a discrete remeshing procedure which enhances its accuracy and robustness. The spatial discretisation allows an isoparametric piecewise-quadratic approximation of the domain geometry for accurate resolution of the curved free surface.

The technique is illustrated through an implementation for surface-tension-dominated viscous flows modelled in terms of the Stokes equations with suitable boundary conditions on the deforming free surface. Two three-dimensional test problems are used to demonstrate the performance of the method: a liquid bridge problem and the formation of a fluid droplet.

Item Type: Article
Copyright, Publisher and Additional Information: © 2005 Springer. This is an author produced version of a paper published in 'Journal of Scientific Computing'
Keywords: Finite element method, Free-surface flow, Moving grids
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (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: 12 Dec 2006
Last Modified: 06 Jun 2014 12:49
Published Version: http://dx.doi.org/10.1007/s10915-004-4611-0
Status: Published
Publisher: Springer Netherlands
Refereed: Yes
Identification Number: 10.1007/s10915-004-4611-0
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1780

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