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holt m numerical methods fluid dynamics 2ed 1984

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Textbook in PDF format From the reviews of the first edition: "This book is directed to graduate students and research workers interested in the numerical solution of problems of fluid dynamics, primarily those arising in high speed flow. …The book is well arranged, logically presented and well illustrated. It contains several FORTRAN programms with which students could experiment … It is a practical book, with emphasis on methods and their implementation. It is an excellent text for the fruitful research area it covers, and is highly recommended". Journal of Fluid Mechanics #1 From the reviews of the second edition: "The arrangement of chapters in the book remains practically the same as that in the first editon (1977), except for the inclusion of Glimm's method. During the six years following the appearance of the first edition of this book many new developments have been made in numerical techniques applied to problems in fluid dynamics. Most of these have been described in companion volumes in the series, especially those by Peyret and Taylor, by Thomasset and by Fletcher. In these works special attention is given to finite element techniques, spectral methods and generalized Galerkin methods. There is no need to duplicate the treatment of these topics in the present volume and the revisions made here are concentrated in two areas. Firstly, Chapter 2, in which the Godunov schemes for unsteady gas dynamics problems were presented, is now expanded to cover Glimm's method. This is a broader version of Godunov's first scheme and has been exploited by Chorin and others in application to one and multidimensional unsteady flow problems. The second revision is in Chapter 5, and covers the many recent applications of the Method of Integral Relations (in its orthonormal version) to turbulent boundary layers, internal pipe flows, and turbulent mixing flows. General Introduction The Godunov Schemes The BVLR Method The Method of Characteristics for Three-Dimensional Problems in Gas Dynamics The Method of Integral Relations Telenin's Method and the Method of Lines

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holt m numerical methods fluid dynamics 2ed 1984

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