Theory and Computation of Hydrodynamic Stability
This treatise covers classical and modern aspects of the fundamental topic of hydrodynamic stability. It considers linear and nonlinear situations, and analyzes temporal and spatial aspects. The authors examine each problem analytically and every chapter ends with an appendix outlining full direct numerical simulation computer code. The text is enriched with many exercises, illustrations and an extensive bibliography and can be used with courses on hydrodynamic stability or as an authoritative reference.
- Fully up-to-date, covering classical and modern, linear and nonlinear aspects, from both numerical and analytic views
- Systematic presentation, progressing from simple to complicated, with exercises and computer code for each chapter, making book suitable for advanced courses
- All physical problems of note are investigated: confined shear flows; boundary layers; free flow; geophysical flows. Flow control and optimization are exploited.
Reviews & endorsements
'… overall I am very impressed with this text. It provides a comprehensive account of modern stability theory … I have no doubt that in time it will be acknowledged as a valuable resource to both graduate students and established researchers alike.' Geophysical and Astrophysical Fluid Dynamics
'The book is certainly a welcome addition to the literature of hydrodynamic stability. It can also be used very well for teaching. This purpose is further assisted by the exercises provided at the end of each chapter. Over 450 references guide the way to even more detailed information.' ZAMM - Z. Angew. Math. Mech.
'… the exercises at the end of each chapter are very well thought out and informative. … the authors have achieved their aims in setting out in a very coherent manner a thorough explanation of the up-to-date theory of hydrodynamic stability. The book will be of much interest to all postgraduate researchers in fluid dynamics and is an excellent reference text.' Contemporary Physics
'… this book will without doubt acquire a high reputation as a detailed introduction to its subject and as a reference work.' Monatshefte für Mathematik
Product details
March 2011Adobe eBook Reader
9780511891458
0 pages
0kg
123 b/w illus. 4 colour illus. 17 tables 60 exercises
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 1. Introduction and problem formulation
- 2. Temporal stability of inviscid incompressible flows
- 3. Temporal stability of viscous incompressible flows
- 4. Spatial stability of incompressible flows
- 5. Stability of compressible flows
- 6. Centrifugal stability
- 7. Geophysical flow
- 8. Transient dynamics
- 9. Nonlinear stability
- 10. Transition and receptivity
- 11. Direct numerical simulation
- 12. Flow control and optimization
- 13. Investigating hydrodynamic instabilities with experiments
- Bibliography
- Index.