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020 _a9781108703017
040 _aICTS-TIFR
050 _aQE501
100 _aSmyth, William D.
245 _aInstability in geophysical flows
260 _bCambridge University Press
_aCambridge, U.K.
_c2019
300 _axi, 327 p.
505 _aPreface 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.
520 _aInstabilities 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 (R) examples are provided online. Also available as Open Access on Cambridge Core. (source: Nielsen Book Data; retrieved from Stanford libraries catalog)
650 _aGeophysics
650 _aGeodynamics
650 _aMarine geophysics
700 _aCarpenter, Jeffrey R.
856 _uhttps://www.cambridge.org/core/books/instability-in-geophysical-flows/22F90F78E5BDD0D6C0E6B4C154A248ED
942 _2lcc
_cBK
999 _c3219
_d3219