Baines, M.J., Hubbard, M.E. and Jimack, P.K. (2005) A moving mesh finite element algorithm for fluid flow problems with moving boundaries. International Journal for Numerical Methods in Fluids, 47 (10-11). pp. 1077-1083. ISSN 0271-2091
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Abstract
A moving mesh finite element method is proposed for the adaptive solution of second- and fourth-order moving boundary problems which exhibit scale invariance. The equations for the mesh movement are based upon the local application of a scale-invariant conservation principle incorporating a monitor function and have been successfully applied to problems in both one and two space dimensions. Examples are provided to show the performance of the proposed algorithm using a monitor function based upon arc-length.
| Item Type: | Article |
|---|---|
| Copyright, Publisher and Additional Information: | © 2005 John Wiley & Sons, Ltd. This is an author produced version of a paper published in 'International Journal for Numerical Methods in Fluids.' |
| Keywords: | moving boundaries, moving meshes, finite element method, scale invariance |
| Academic Units: | The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds) |
| Depositing User: | Repository Assistant |
| Date Deposited: | 13 Dec 2006 |
| Last Modified: | 08 Feb 2013 17:03 |
| Published Version: | http://dx.doi.org/10.1002/fld.860 |
| Status: | Published |
| Publisher: | John Wiley & Sons, Ltd. |
| Refereed: | Yes |
| Identification Number: | 10.1002/fld.860 |
| Related URLs: | |
| URI: | http://eprints.whiterose.ac.uk/id/eprint/1762 |
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