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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Abstract
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'. |
| 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: | 08 Feb 2013 17:03 |
| Published Version: | http://dx.doi.org/10.1002/cnm.677 |
| Status: | Published |
| Publisher: | John Wiley & Sons, Ltd. |
| Refereed: | Yes |
| Identification Number: | DOI:10.1002/cnm.677 |
| Related URLs: | |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/1738 |
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