Geophysical waves and flows : theory and applications in the atmosphere, hydrosphere and geosphere

著者

    • Loper, David E.

書誌事項

Geophysical waves and flows : theory and applications in the atmosphere, hydrosphere and geosphere

David E. Loper

Cambridge University Press, 2017

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注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

  • 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.

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