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A moving mesh finite element algorithm for fluid flow problems with moving boundaries

By M.J. Baines, M.E. Hubbard and P.K. Jimack


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

Publisher: John Wiley & Sons, Ltd.
Year: 2005
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