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
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.
|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:||16 Sep 2016 17:00|