Meteorologists and oceanographers build global atmospheric and oceanic models for weather and climate prediction using fundamental equations of fluid flow. This book provides a comprehensive account of such equations to improve understanding of the formulation of existing forecast models and encourage the development of more accurate models.
Meteorologists and oceanographers build global atmospheric and oceanic models for weather and climate prediction using fundamental equations of fluid flow. This book provides a comprehensive account of such equations to improve understanding of the formulation of existing forecast models and encourage the development of more accurate models.
Andrew N. Staniforth - now retired - led the development of dynamical cores for weather and climate prediction at two national centres (Canada and the UK). He has published over 100 peer-reviewed journal articles, and is the recipient of various prizes and awards including: the Editor's Award (American Meteorological Society, 1990); the Andrew Thompson Prize (Canadian Meteorological and Oceanographic Society, 1993); and the Buchan and Adrian Gill Prizes (Royal Meteorological Society, 2007 and 2009).
Inhaltsangabe
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.
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.
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