Description
Efnisyfirlit
- Front Cover
- An Introduction to Dynamic Meteorology
- Dedication
- Table of contents
- Preface
- 1 Introduction
- 1.1 Dynamic Meteorology
- 1.2 Conservation of Momentum
- 1.2.1 Pressure Gradient Force
- 1.2.2 Viscous Force
- 1.2.3 Gravitational Force
- 1.3 Noninertial Reference Frames and ”Apparent” Forces
- 1.3.1 Centripetal Acceleration and Centrifugal Force
- 1.3.2 Gravity Revisited
- 1.3.3 The Coriolis Force and the Curvature Effect
- 1.3.4 Constant Angular Momentum Oscillations
- 1.4 Structure of the Static Atmosphere
- 1.4.1 The Hydrostatic Equation
- 1.4.2 Pressure as a Vertical Coordinate
- 1.4.3 A Generalized Vertical Coordinate
- 1.5 Kinematics
- 1.6 Scale Analysis
- Suggested References
- Problems
- Matlab Exercises
- 2 Basic Conservation Laws
- 2.1 Total Differentiation
- 2.1.1 Total Differentiation of a Vector in a Rotating System
- 2.2 The Vectorial Form of the Momentum Equation in Rotating Coordinates
- 2.3 Component Equations in Spherical Coordinates
- 2.4 Scale Analysis of the Equations of Motion
- 2.4.1 Geostrophic Approximation and Geostrophic Wind
- 2.4.2 Approximate Prognostic Equations: The Rossby Number
- 2.4.3 The Hydrostatic Approximation
- 2.5 The Continuity Equation
- 2.5.1 A Eulerian Derivation
- 2.5.2 A Lagrangian Derivation
- 2.5.3 Scale Analysis of the Continuity Equation
- 2.6 The Thermodynamic Energy Equation
- 2.7 Thermodynamics of the Dry Atmosphere
- 2.7.1 Potential Temperature
- 2.7.2 The Adiabatic Lapse Rate
- 2.7.3 Static Stability
- 2.7.4 Scale Analysis of the Thermodynamic Energy Equation
- 2.8 The Boussinesq Approximation
- 2.9 Thermodynamics of the Moist Atmosphere
- 2.9.1 Equivalent Potential Temperature
- 2.9.2 The Pseudoadiabatic Lapse Rate
- 2.9.3 Conditional Instability
- Suggested References
- Problems
- Matlab Exercises
- 3 Elementary Applications of the Basic Equations
- 3.1 Basic Equations in Isobaric Coordinates
- 3.1.1 The Horizontal Momentum Equation
- 3.1.2 The Continuity Equation
- 3.1.3 The Thermodynamic Energy Equation
- 3.2 Balanced Flow
- 3.2.1 Natural Coordinates
- 3.2.2 Geostrophic Flow
- 3.2.3 Inertial Flow
- 3.2.4 Cyclostrophic Flow
- 3.2.5 The Gradient Wind Approximation
- 3.3 Trajectories and Streamlines
- 3.4 The Thermal Wind
- 3.4.1 Barotropic and Baroclinic Atmospheres
- 3.5 Vertical Motion
- 3.5.1 The Kinematic Method
- 3.5.2 The Adiabatic Method
- 3.6 Surface Pressure Tendency
- Problems
- Matlab Exercises
- 4 Circulation, Vorticity, and Potential Vorticity
- 4.1 The Circulation Theorem
- 4.2 Vorticity
- 4.2.1 Vorticity in Natural Coordinates
- 4.3 The Vorticity Equation
- 4.3.1 Cartesian Coordinate Form
- 4.3.2 The Vorticity Equation in Isobaric Coordinates
- 4.3.3 Scale Analysis of the Vorticity Equation
- 4.4 Potential Vorticity
- 4.5 Shallow Water Equations
- 4.5.1 Barotropic Potential Vorticity
- 4.6 Ertel Potential Vorticity in Isentropic Coordinates
- 4.6.1 Equations of Motion in Isentropic Coordinates
- 4.6.2 The Potential Vorticity Equation
- 4.6.3 Integral Constraints on Isentropic Vorticity
- Suggested References
- Problems
- Matlab Exercises
- 5 Atmospheric Oscillations
- 5.1 The Perturbation Method
- 5.2 Properties of Waves
- 5.2.1 Fourier Series
- 5.2.2 Dispersion and Group Velocity
- 5.2.3 Wave Properties in Two and Three Dimensions
- 5.2.4 A Wave Solution Strategy
- 5.3 Simple Wave Types
- 5.3.1 Acoustic or Sound Waves
- 5.3.2 Shallow Water Waves
- 5.4 Internal Gravity (Buoyancy) Waves
- 5.4.1 Pure Internal Gravity Waves
- 5.5 Linear Waves of a Rotating Stratified Atmosphere
- 5.5.1 Pure Inertial Oscillations
- 5.5.2 Rossby and Inertia–Gravity Waves
- 5.6 Adjustment to Geostrophic Balance
- 5.7 Rossby Waves
- 5.7.1 Free Barotropic Rossby Waves
- 5.7.2 Forced Topographic Rossby Waves
- Suggested References
- Problems
- Matlab Exercises
- 6 Quasi-geostrophic Analysis
- 6.1 The Observed Structure of Extratropical Circulations
- 6.2 Derivation of the Quasi-Geostrophic Equations
- 6.2.1 Preliminaries
- 6.3 Potential Vorticity Derivation of the QG Equations
- 6.4 Potential Vorticity Thinking
- 6.4.2 PV Conservation and the QG ”Height Tendency” Equation
- 6.5 Vertical Motion (w) Thinking
- 6.6 Idealized Model of a Baroclinic Disturbance
- 6.7 Isobaric Form of the QG Equations
- Suggested References
- Problems
- Matlab Exercises
- 7 Baroclinic Development
- 7.1 Hydrodynamic Instability
- 7.2 Normal Mode Baroclinic Instability: A Two-Layer Model
- 7.2.1 Linear Perturbation Analysis
- 7.2.2 Vertical Motion in Baroclinic Waves
- 7.3 The Energetics of Baroclinic Waves
- 7.3.1 Available Potential Energy
- 7.3.2 Energy Equations for the Two-Layer Model
- 7.4 Baroclinic Instability of a Continuously Stratified Atmosphere
- 7.4.1 Log-Pressure Coordinates
- 7.4.2 Baroclinic Instability: The Rayleigh Theorem
- 7.4.3 The Eady Stability Problem
- 7.5 Growth and Propagation of Neutral Modes
- 7.5.1 Transient Growth of Neutral Waves
- 7.5.2 Downstream Development
- Suggested References
- Problems
- Matlab Exercises
- 8 The Planetary Boundary Layer
- 8.1 Atmospheric Turbulence
- 8.1.1 Reynolds Averaging
- 8.2 Turbulent Kinetic Energy
- 8.3 Planetary Boundary Layer Momentum Equations
- 8.3.1 Well-Mixed Boundary Layer
- 8.3.2 The Flux–Gradient Theory
- 8.3.3 The Mixing Length Hypothesis
- 8.3.4 The Ekman Layer
- 8.3.5 The Surface Layer
- 8.3.6 The Modified Ekman Layer
- 8.4 Secondary Circulations and Spin Down
- Suggested References
- Problems
- Matlab Exercises
- 9 Mesoscale Circulations
- 9.1 Energy Sources for Mesoscale Circulations
- 9.2 Fronts and Frontogenesis
- 9.2.1 The Kinematics of Frontogenesis
- 9.2.2 Semigeostrophic Theory
- 9.2.3 Cross-Frontal Circulation
- 9.3 Symmetric Baroclinic Instability
- 9.4 Mountain Waves
- 9.4.1 Waves over Sinusoidal Topography
- 9.4.2 Flow over Isolated Ridges
- 9.4.3 Lee Waves
- 9.4.4 Downslope Windstorms
- 9.5 Cumulus Convection
- 9.5.1 Convective Available Potential Energy
- 9.5.2 Entrainment
- 9.6 Convective Storms
- 9.6.1 Development of Rotation in Supercell Thunderstorms
- 9.6.2 The Right-Moving Storm
- 9.7 Hurricanes
- 9.7.1 Dynamics of Mature Hurricanes
- 9.7.2 Hurricane Development
- Suggested References
- Problems
- Matlab Exercises
- 10 The General Circulation
- 10.1 The Nature of the Problem
- 10.2 The Zonally Averaged Circulation
- 10.2.1 The Conventional Eulerian Mean
- 10.2.2 The Transformed Eulerian Mean
- 10.2.3 The Zonal-Mean Potential Vorticity Equation
- 10.3 The Angular Momentum Budget
- 10.3.1 Sigma Coordinates
- 10.3.2 The Zonal-Mean Angular Momentum
- 10.4 The Lorenz Energy Cycle
- 10.5 Longitudinally Dependent Time-Averaged Flow
- 10.5.1 Stationary Rossby Waves
- 10.5.2 Jet Stream and Storm Tracks
- 10.6 Low-Frequency Variability
- 10.6.1 Climate Regimes
- 10.6.2 Annular Modes
- 10.6.3 Sea Surface Temperature Anomalies
- 10.7 Numerical Simulation of the General Circulation
- 10.7.1 Dynamical Formulation
- 10.7.2 Physical Processes and Parameterizations
- 10.8 Climate Sensitivity, Feedbacks, and Uncertainty
- Suggested References
- Problems
- Matlab Exercises
- 11 Tropical Dynamics
- 11.1 The Observed Structure of Large-Scale Tropical Circulations
- 11.1.1 The Intertropical Convergence Zone
- 11.1.2 Equatorial Wave Disturbances
- 11.1.3 African Wave Disturbances
- 11.1.4 Tropical Monsoons
- 11.1.5 The Walker Circulation
- 11.1.6 El Niño and the Southern Oscillation
- 11.1.7 Equatorial Intraseasonal Oscillation
- 11.2 Scale Analysis of Large-Scale Tropical Motions
- 11.3 Condensation Heating
- 11.4 Equatorial Wave Theory
- 11.4.1 Equatorial Rossby and Rossby–Gravity Modes
- 11.4.2 Equatorial Kelvin Waves
- 11.5 Steady Forced Equatorial Motions
- Suggested References
- Problems
- Matlab Exercises
- 12 Middle Atmosphere Dynamics
- 12.1 Structure and Circulation of the Middle Atmosphere
- 12.2 The Zonal-Mean Circulation of the Middle Atmosphere
- 12.2.1 Lagrangian Motion of Air Parcels
- 12.2.2 The Transformed Eulerian Mean
- 12.2.3 Zonal-Mean Transport
- 12.3 Vertically Propagating Planetary Waves
- 12.3.1 Linear Rossby Waves
- 12.3.2 Rossby Wavebreaking
- 12.4 Sudden Stratospheric Warmings
- 12.5 Waves in the Equatorial Stratosphere
- 12.5.1 Vertically Propagating Kelvin Waves
- 12.5.2 Vertically Propagating Rossby–Gravity Waves
- 12.5.3 Observed Equatorial Waves
- 12.6 The Quasi-Biennial Oscillation
- 12.7 Trace Constituent Transport
- 12.7.1 Dynamical Tracers
- 12.7.2 Chemical Tracers
- 12.7.3 Transport in the Stratosphere
- Suggested References
- Problems
- Matlab Exercises
- 13 Numerical Modeling and Prediction
- 13.1 Historical Background
- 13.2 Numerical Approximation of the Equations of Motion
- 13.2.1 Finite Differences
- 13.2.2 Centered Differences: Explicit Time Differencing
- 13.2.3 Computational Stability
- 13.2.4 Implicit Time Differencing
- 13.2.5 The Semi-Lagrangian Integration Method
- 13.2.6 Truncation Error
- 13.3 The Barotropic Vorticity Equation in Finite Differences
- 13.4 The Spectral Method
- 13.4.1 The Barotropic Vorticity Equation in Spherical Coordinates
- 13.4.2 Rossby–Haurwitz Waves
- 13.4.3 The Spectral Transform Method
- 13.5 Primitive Equation Models
- 13.5.1 Spectral Models
- 13.5.2 Physical Parameterizations
- 13.6 Data Assimilation
- 13.6.1 Data Assimilation for a Single Variable
- 13.6.2 Data Assimilation for Many Variables
- 13.7 Predictability and Ensemble Forecasting
- Suggested References
- Problems
- Matlab Exercises
- Appendix A: Useful Constants and Parameters
- Appendix B: List of Symbols
- Appendix C: Vector Analysis
- C.1 Vector Identities
- C.2 Integral Theorems
- C.3 Vector Operations in Various Coordinate Systems
- Appendix D: Moisture Variables
- D.1 Equivalent Potential Temperature
- D.2 Pseudoadiabatic Lapse Rate
- Appendix E: Standard Atmosphere Data
- Appendix F: Symmetric Baroclinic Oscillations
- Appendix G: Conditional Probability and Likelihood
- Likelihood
- Bibliography
- Index
- A
- B
- C
- D
- E
- F
- G
- H
- I
- J
- K
- L
- M
- N
- O
- P
- Q
- R
- S
- T
- U
- V
- W
- Z
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