Computational Methods for Fluid Dynamics

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 book shows common roots and basic principles for many apparently different methods. The issues of numerical accuracy, estimation and reduction of numerical errors are dealt with in detail, with many examples. The book also contains a great deal of practical advice for code developers and users. The book 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. Review From the reviews of the third edition: "This book, primarily oriented towards industrial applications, intends to provide engineers with the necessary background to use and understand commercial fluid dynamics modeling codes or, alternatively, to develop their own. ... In summary, this text, which is commendable for its excellent plain English and pedagogic qualities, constitutes an excellent introduction to the world of computational fluid dynamics and will proudly find its place on the shelf besides more classical reference textbooks." (Michael Crucifix, Physicalia, Vol. 25 (2), 2003) "In reviewer’s opinion, the book is a mixture of surveys and detailed discussions, the latter reflecting the experience of the authors. Thus the book is valuable for the beginners and also for the specialists." (Willi Schönauer, Zentralblatt MATH, Vol. 998, 2002) "In its 3rd revised and extended edition 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. ... 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. ... A full-feature user-friendly demo-version of a commercial CFD software has been added ... ." (ETDE Energy Database, January, 2002) Product Description In its third revised and extended edition 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 new edition contains a new section dealing with grid quality and an extended description of discretization 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. Computational fluid dynamics, commonly known under the acronym'CFD', is undergoing significant expansion in terms of both the number of courses offered at universities and the number of researchers active in the field. There are a number of software packages available that solve fluid flow problems; the market is not quite as large as the one for structural mechanics codes, in which the use of finite element methods is well established. The lag can be explained by the fact that CFD problems are, in general, more difficult to solve. However, CFD codes are slowly being accepted as design tools by industrial users. At present, users of CFD need to be fairly knowledgeable and this requires education of both students and working engineers. The present book is an attempt to fill this need. It is our belief that, to work in CFD, one needs a solid background in fluid mechanics and numerical analysis; significant errors have been made by peo­ ple lacking knowledge in one or the other. We therefore encourage the reader to obtain a working knowledge of these subjects before entering into a study of the material in this book. Because different people view numerical meth­ ods differently, and to make this work more self-contained, we have included two chapters on basic numerical methods in this book. The book is based on material offered by the authors in courses at Stanford University, the Uni­ versity of Erlangen-Niirnberg and the University of Hamburg. Front Matter....Pages I-XIV Basic Concepts of Fluid Flow....Pages 1-20 Introduction to Numerical Methods....Pages 21-37 Finite Difference Methods....Pages 39-66 Finite Volume Methods....Pages 67-84 Solution of Linear Equation Systems....Pages 85-126 Methods for Unsteady Problems....Pages 127-148 Solution of the Navier-Stokes Equations....Pages 149-208 Complex Geometries....Pages 209-252 Turbulent Flows....Pages 253-282 Compressible Flow....Pages 283-301 Efficiency and Accuracy Improvement....Pages 303-326 Special Topics....Pages 327-348 Back Matter....Pages 349-364 This text provides an overview of the techniques used to solve problems in fluid mechanics on computers and describes in detail those most often used in practice. The issues of numerical accuracy, estimation and reduction of numerical errors are dealt with in detail, with many examples.