Theory and Computation in Hydrodynamic Stability

Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

W. O. Criminale (Author), T. L. Jackson (Author), R. D. Joslin (Author)

9781108475334, Cambridge University Press

Hardback, published 6 December 2018

562 pages, 151 b/w illus. 10 colour illus. 17 tables 80 exercises
23.5 x 15.6 x 3 cm, 1.01 kg

The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing to the most complex, considering linear and nonlinear situations, and analyzing temporal and spatial stability. The authors examine each problem both analytically and numerically. Many relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. The text includes copious illustrations and an extensive bibliography, making it suitable for courses on hydrodynamic stability or as an authoritative reference for researchers. In this second edition the opportunity has been taken to update the text and, most importantly, provide solutions to the numerous extended exercises.

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
Appendix A. Mathematical formulas
Appendix B. Numerical methods
Appendix C. Solutions to exercises
References
Author index
Subject index.

Subject Areas: Mathematical theory of computation [UYA], Dynamics & statics [PHDT], Fluid mechanics [PHDF]