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On the calculation of normals in free-surface flow problems

Walkley, M.A., Gaskell, P.H., Jimack, P.K., Kelmanson, M.A., Summers, J.L. and Wilson, M.C.T. (2004) On the calculation of normals in free-surface flow problems. Communications in Numerical Methods in Engineering, 20 (5). pp. 343-351. ISSN 1099-0887

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The use of boundary-conforming finite element methods is considered for the solution of surface-tension-dominated free-surface flow problems in three dimensions. This class of method is based upon the use of a moving mesh whose velocity is driven by the motion of the free surface, which is in turn determined via a kinematic boundary condition for the normal velocity. The significance of the method used to compute the normal direction at the finite element node points for a C0 piecewise-polynomial free surface is investigated.

In particular, it is demonstrated that the concept of mass-consistent normals on an isoparametric quadratic tetrahedral mesh is flawed. In this case an alternative, purely geometric, normal is shown to lead to a far more robust numerical algorithm.

Item Type: Article
Copyright, Publisher and Additional Information: © 2004 John Wiley & Sons, Ltd. This is an author produced version of a paper published in 'Communications in Numerical Methods in Engineering'.
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: 21 Nov 2006
Last Modified: 07 Jun 2014 01:14
Published Version: http://dx.doi.org/10.1002/cnm.677
Status: Published
Publisher: John Wiley & Sons, Ltd.
Refereed: Yes
Identification Number: 10.1002/cnm.677
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1738

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