The book offers an overview of the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice. Included are advanced techniques in computational fluid dynamics, like direct and large-eddy simulation of turbulence, multigrid methods, parallel computing, moving grids, structured, block-structured and unstructured boundary-fitted grids, free surface flows. The main focus is on incompressible flow and there is only a brief overview of numerical techniques for compressible flows. The book shows common roots and basic principles for many apparently different methods. The book also contains a great deal of practical advice for code developers and users, it is designed to be equally useful to beginners and experts. All computer codes can be accessed from the publisher's server ftp.springer.de on the internet. The second edition has been updated throughout with new material, especially on turbulent flow.