M. J. Baines - Böcker

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.The distinguished group of invited speakers includes H Deconinck (VKI, Brussels), J C R Hunt (Meteorological Office), M A Leschziner (UMIST), D Mavriplis (ICASE). K W Morton (Oxford), K G Powell (Michigan), A Quarteroni (Milan), S Rill (Bremen), A N Staniforth (Quebec), N Stoufflet (Paris), J Thomas (NASA), N P Weatherill (Swansea), and P Wesseling (Delft).

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.