Geophysical Waves and Flows
Theory and Applications in the Atmosphere, Hydrosphere and Geosphere

This book is a unified presentation of waves and flows occurring in the atmosphere, oceans, rivers, volcanoes and the mantle, for graduate students and researchers.

David E. Loper (Author)

9781107186194, Cambridge University Press

Hardback, published 26 October 2017

518 pages, 86 b/w illus.
25.4 x 18 x 2.8 cm, 1.17 kg

'This book is an important contribution to geophysics and applied mathematics. Its goal is to present a uni?ed approach to geophysical waves and ?ows in a systematic manner. The omni-pervasive subject that it discusses makes it attractive for researchers both in geophysics and astrophysics. Furthermore, the structure of this volume is a multilayered one, so that it can be accessed by a variety of audiences.' Silvia De Bianchi, Mathematical Reviews

Waves and flows are pervasive on and within Earth. This book presents a unified physical and mathematical approach to waves and flows in the atmosphere, oceans, rivers, volcanoes and the mantle, emphasizing the common physical principles and mathematical methods that apply to a variety of phenomena and disciplines. It is organized into seven parts: introductory material; kinematics, dynamics and rheology; waves in non-rotating fluids; waves in rotating fluids; non-rotating flows; rotating flows; and silicate flows. The chapters are supplemented by 47 'fundaments', containing knowledge that is fundamental to the material presented in the main text, organized into seven appendices: mathematics; dimensions and units; kinematics; dynamics; thermodynamics; waves; and flows. This book is an ideal reference for graduate students and researchers seeking an introduction to the mathematics of waves and flows in the Earth system, and will serve as a supplementary textbook for a number of courses in geophysical fluid dynamics.

Preface
Part I. Introductory Material: 1. Introduction
2. Getting started
Part II. Kinematics, Dynamics and Rheology: 3. Kinematics of deformation and flow
4. Dynamics and the stress tensor
5. Some thermodynamics
6. Shear rheology
7. Static state and perturbations
8. Introduction to rotating fluids
Part III. Waves in Non-Rotating Fluids: 9. Introduction to waves
10. Elastic waves
11. Deep-water waves
12. Linear shallow-water waves
13. Non-linear shallow-water waves
14. Other non-rotating waves
Part IV. Waves in Rotating Fluids: 15. Geostrophic, inertial and rossby waves
16. Rotationally modified waves
17. Equatorial waves
18. Coastal and topographic waves
Part V. Non-Rotating Flows: 19. Orientation to one-dimensional flow
20. Steady channel flow
21. Unsteady channel flow: hydraulic shock waves
22. Gravitationally forced flows
23. A simple model of turbulent flow
24. Some simple turbulent flows
Part VI. Flows in Rotating Fluids: 25. Ekman layers
26. Atmospheric flows
27. Oceanic currents
28. Vortices
Part VII. Silicate Flows: 29. Equations governing silicate flows
30. Cooling the Earth
31. Cooling the mantle
32. Cooling the core
33. Overview of volcanic flows
34. Flow in volcanic conduits
35. Lava flow
Part VIII. Fundaments: Appendix A. Mathematics
Appendix B. Dimensions and units
Appendix C. Kinematics
Appendix D. Dynamics
Appendix E. Thermodynamics
Appendix F. Waves
Appendix G. Flows
References
Index.

Subject Areas: Meteorology & climatology [RBP], Hydrology & the hydrosphere [RBK], Geology & the lithosphere [RBG], Earth sciences [RB], Atmospheric physics [PHVJ], Geophysics [PHVG], Fluid mechanics [PHDF]