This book is mainly concerned with finite element methods for time-dependent partial differential equations when the grids are allowed to move in time, but also describes grid generation techniques which include grid adjustment. The mechanism for grid movement derives from a generalization of the residual minimization technique which is familiar from the Galerkin finite element method. The book brings together most of the work done over the last decade or so which has been stimulated by Miller's original idea, and discusses the interrelationships between the techniques of the method and the established ideas of the method of characteristics, Hamilton's equations, the Legendre transformation, and grid equidistribution. The book highlights the issues involved and should provide the reader with a clear view of the current state of the subject and prompt further research.

Since the early 1980s, a series of International Conferences on Numerial Methods for Fluid Dynamics has been held at the Universities of Oxford and Reading, the majority of them under the aegis of the Institute for Computational Fluid Dynamics, a joint research organization set up in 1983 with the support of the SERC. This volume is the proceedings of the latest conference in the series, which was held at Reading University in April 1992, and attracted a large number of delegates from Europe and North America, who contributed talks on a wide range of topics in CFD. A full representation from industry and the universities took part. As in previous conferences, the aim was to bring together mathematicians, engineers and others working in the field of computational fluid dynamics to review recent advances in mathematical and computational fluid techniques for modelling fluid flows. Because the area is so vast, it was once again decided to highlight a number of main themes: inplicit methods in CFD; mesh generation and error analysis (including mesh quality); numerical boundary conditions (particularly non-reflective); multigrid and alternative methods for hyperbolic systems. As with al

This volume contains the proceedings of an international conference on Numerical Methods for Fluid Dynamics held at the University of Oxford in April 1995. Such conferences have been held at the Universities of Reading and Oxford since the early 1980s, under the auspices of the Institute for Computational Fluid Dynamics. The conferences have become regular and eagerly anticipated events in the CFD calendar, and attract a distinguished international group of speakers and delegates. The standard of papers is, as always, very high. The proceedings include work on all the latest current issues in CFD, and in particular are concerned with the analysis of CFD algorithms and their behaviour. The main themes of the present volume are algorithms and algorithmic needs arising from applications, Navier-Stokes on flexible grids, and environmental CFD. These proceedings begin with the 13 invited papers by eminent researchers, followed by the five papers by young researchers shortlisted for the Bill Morton prize (instigated at the conference), and finally include the 44 contributed papers.; This book is intended for researchers and students in numerical analysis, in universities, industry, and go