Skip to main content Accessibility help
    • You have access
    • Open access
  • Cited by 29
Cambridge University Press
Online publication date:
April 2019
Print publication year:
Online ISBN:
Creative Commons:
Creative Common License - CC Creative Common License - BY Creative Common License - NC Creative Common License - ND
This content is Open Access and distributed under the terms of the Creative Commons Attribution licence CC-BY-NC-ND 4.0

Book description

Instabilities are present in all natural fluids from rivers to atmospheres. This book considers the physical processes that generate instability. Part I describes the normal mode instabilities most important in geophysical applications, including convection, shear instability and baroclinic instability. Classical analytical approaches are covered, while also emphasising numerical methods, mechanisms such as internal wave resonance, and simple `rules of thumb' that permit assessment of instability quickly and intuitively. Part II introduces the cutting edge: nonmodal instabilities, the relationship between instability and turbulence, self-organised criticality, and advanced numerical techniques. Featuring numerous exercises and projects, the book is ideal for advanced students and researchers wishing to understand flow instability and apply it to their own research. It can be used to teach courses in oceanography, atmospheric science, coastal engineering, applied mathematics and environmental science. Exercise solutions and MATLAB® examples are provided online. Also available as Open Access on Cambridge Core.


'Written with impressive clarity, this new textbook covers all the key types of geophysical instability and provides a window to more advanced topics such as transient optimal growth and transition to turbulence. In addition to presenting the mathematical fundamentals the authors present satisfying physical explanations for the complex mechanisms, while throughout the text (and homework exercises) numerical methods and simple codes are used to familiarise students with this important tool for simulating instability mechanisms numerically. For all these reasons it is truly an outstanding textbook - for class teaching or self-study. I will use it myself to create a new graduate course!'

Eyal Heifetz - Tel Aviv University

‘… large number of analytical and numerical exercises, make the book suitable for use in teaching a graduate or upper-level undergraduate course on the subject of geophysical fluid dynamics. The material covered would be helpful both to atmospheric science students and researchers who wish to understand the mathematical theory and numerical simulation techniques and to applied mathematics students and researchers who wish to learn more about the geophysical processes and the mechanisms that lead to the instabilities.’

Lucy J. Campbell Source: Mathematical Reviews Clippings

Refine List

Actions for selected content:

Select all | Deselect all
  • View selected items
  • Export citations
  • Download PDF (zip)
  • Save to Kindle
  • Save to Dropbox
  • Save to Google Drive

Save Search

You can save your searches here and later view and run them again in "My saved searches".

Please provide a title, maximum of 40 characters.


Full book PDF
  • Frontmatter
    pp i-iv
  • Contents
    pp v-viii
  • Preface
    pp ix-x
  • Acknowledgments
    pp xi-xii
  • Part I - Normal Mode Instabilities
    pp 1-2
  • 1 - Preliminaries
    pp 3-23
  • 2 - Convective Instability
    pp 24-52
  • 3 - Instabilities of a Parallel Shear Flow
    pp 53-106
  • 4 - Parallel Shear Flow: the Effects of Stratification
    pp 107-136
  • 5 - Parallel Shear Flow: the Effects of Viscosity
    pp 137-152
  • 6 - Synthesis: Viscous, Diffusive, Inhomogeneous, Parallel Shear Flow
    pp 153-173
  • 7 - Nonparallel Flow: Instabilities of a Cylindrical Vortex
    pp 174-194
  • 8 - Instability in a Rotating Environment
    pp 195-221
  • 9 - Convective Instability in Complex Fluids
    pp 222-241
  • 10 - Summary
    pp 242-244
  • Part II - The View Ahead
    pp 245-246
  • 11 - Beyond Normal Modes
    pp 247-261
  • 12 - Instability and Turbulence
    pp 262-272
  • 13 - Refining the Numerical Methods
    pp 273-286
  • Appendix A - Homework Exercises
    pp 287-306
  • Appendix B - Projects
    pp 307-316
  • References
    pp 317-322
  • Index
    pp 323-328


Altmetric attention score

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Book summary page views

Total views: 0 *
Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.