# Principles of Computational Fluid Dynamics

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 29)

Part of the Springer Series in Computational Mathematics book series (SSCM, volume 29)

The book is aimed at graduate students, researchers, engineers and physicists involved in flow computations. An up-to-date account is given of the present state-of-the-art of numerical methods employed in computational fluid dynamics. The underlying numerical principles are treated with a fair amount of detail, using elementary mathematical analysis. Attention is given to difficulties arising from geometric complexity of the flow domain and of nonuniform structured boundary-fitted grids. Uniform accuracy and efficiency for singular perturbation problems is studied, pointing the way to accurate computation of flows at high Reynolds number. Much attention is given to stability analysis, and useful stability conditions are provided, some of them new, for many numerical schemes used in practice. Unified methods for compressible and incompressible flows are discussed. Numerical analysis of the shallow-water equations is included. The theory of hyperbolic conservation laws is treated. Godunov's order barrier and how to overcome it by means of slope-limited schemes is discussed. An introduction is given to efficient iterative solution methods, using Krylov subspace and multigrid acceleration. Many pointers are given to current literature, to help the reader to quickly reach the current research frontier.

Navier-Stokes equation complexity computational fluid dynamics convection fluid dynamics numerical analysis numerical methods

- DOI https://doi.org/10.1007/978-3-642-05146-3
- Copyright Information Springer-Verlag Berlin Heidelberg 2001
- Publisher Name Springer, Berlin, Heidelberg
- eBook Packages Springer Book Archive
- Print ISBN 978-3-642-05145-6
- Online ISBN 978-3-642-05146-3
- Series Print ISSN 0179-3632
- About this book

- Industry Sectors
- Engineering
- Aerospace
- Oil, Gas & Geosciences