Instability in Geophysical Flows

ISBN-13: 9781108703017 / Angielski / Miękka / 2019 / 338 str.

William D. Smyth; Jeffrey R. Carpenter

Opis

An Open Access overview of physical processes that generate instability in geophysical flows, emphasising numerical methods and simple rules to predict instability.

Recenzje

'… 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, Mathematical Reviews Clippings

Spis treści

Preface; Part I. Normal Mode Instabilities: 1. Preliminaries; 2. Convective instability; 3. Instabilities of a parallel shear flow; 4. Parallel shear flow: the effects of stratification; 5. Parallel shear flow: the effects of viscosity; 6. Synthesis: viscous, diffusive, inhomogeneous, parallel shear flow; 7. Nonparallel flow: instabilities of a cylindrical vortex; 8. Instability in a rotating environment; 9. Convective instability in complex fluids; 10. Summary; Part II. The View Ahead: 11. Beyond normal modes; 12. Instability and turbulence; 13. Refining the numerical methods; Appendix A. Homework exercises; Appendix B. Projects; List of illustrations; List of tables; References; Index.