Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and Acronyms
- 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
- II Dynamically Consistent Equation Sets
- III Exact Steady and Unsteady Non-Linear Solutions
- Appendix: Vector Identities
- References
- Index
13 - Vertical Coordinates and Boundary Conditions
from I - Foundations
Published online by Cambridge University Press: 08 April 2022
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Notation and Acronyms
- 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
- II Dynamically Consistent Equation Sets
- III Exact Steady and Unsteady Non-Linear Solutions
- Appendix: Vector Identities
- References
- Index
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- Global Atmospheric and Oceanic ModellingFundamental Equations, pp. 371 - 412Publisher: Cambridge University PressPrint publication year: 2022