This volume contains the Proceedings of the Eighth GAMM Conference on Numerical Methods in Fluid Mechanics, held in Delft, The Netherlands, September 27-29, 1989, at Delft University of Technology. This international conference is organized bi-annually at various locations in Europe by the Committee on Numerical Methods in Fluid Dynamics of the Gesellschaft fiir Angewandte Mathematik und Mechanik, chaired at present by W. Kordulla. At the moment, the organizing committee draws its-members from ten European countries. The conference attracted a worldwide attendance of about 140 registered partici pants. The book contains the written versions of the 61 papers that were presented and a report on the GAMM-Workshop 'Numerical Simulation of Oscillatory Convec tion in Low-Pr Fluids' held in Marseille, October 12-14, 1988. The organizing committee had a difficult task in selecting the papers from 145 submitted abstracts. In view of the high quality of the abstracts it was decided to allow more papers than in previous conferences in this series. The contents of this volume reflect current trends in computational fluid dynamics. The renaissance of hypersonic aerodynamics manifests itself clearly, strongly stimulated in Europe by the Hermes project and plans for a later future. Notable advances are reported in adaptive and multigrid computing methods, visual ization and computing in three space dimensions. The local organization was taken care of by the Congress Office of Delft Universi ty of Technology, under the able directorship of Mrs. M.H.P. Komen-Zimmerman and Mrs. A. de Bruin.