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
Available under licence : See the attached licence file.
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.
|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|
|Institution:||The University of Leeds|
|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:||04 Jun 2014 17:50|
|Publisher:||John Wiley & Sons, Ltd.|