Global Atmospheric and Oceanic Modelling: Fundamental Equations

ISBN-13: 9781108838337 / Angielski / Twarda / 2022 / 700 str.

Andrew N. Staniforth

Opis

A unified and comprehensive account of the fundamental equations of atmospheric and oceanic models for climate and weather forecasting.

Recenzje

'… comprehensive and rigorous … Graduate students and advanced researchers with interests in atmospheric, oceanic, or general climate modeling will find this treatise invaluable … Highly recommended.' M. Alam, Choice

Spis treści

Preface. Notation and acronyms. Part I. Foundations: 1. Introduction; 2. Governing equations for motion of a dry atmosphere: Vector form; 3. Governing equations for motion of a cloudy atmosphere: Vector form; 4. Governing equations for motion of geophysical fluids: Vector form; 5. Orthogonal curvilinear coordinate systems; 6. Governing equations for motion of geophysical fluids: Curvilinear form; 7. Representation of gravity: Basic theory and spherical planets; 8. Representation of gravity: Further theory and spheroidal planets; 9. Thermodynamic potentials and thermodynamical consistency; 10. Moist thermodynamics; 11. Ocean thermodynamics; 12. Geopotential coordinates for modelling planetary atmospheres and oceans; 13. Vertical coordinates and boundary conditions; 14. Variational methods and Hamilton's principle of stationary action; 15. Conservation. Part II. Dynamically Consistent Equation Sets: 16. Deep and shallow equation sets in 3D; 17. Quasi-shallow equation sets in 3D; 18. Shallow water equation sets in 2D; 19. A barotropic potential vorticity (BPV) equation for flow over a spheroidal planet. Part III. Exact Steady and Unsteady Nonlinear Solutions: 20. Exact steady solutions of the global shallow water equations; 21. Exact 3D steady solutions of global equation sets; 22. Exact unsteady solutions of the barotropic potential vorticity equation over an ellipsoid; 23. Exact unsteady solutions in 3D over an ellipsoidal planet. Appendix. References. Index.