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
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.
|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:||16 Sep 2016 20:23|
|Publisher:||John Wiley & Sons, Ltd.|