Preface
Chapter 1 Atmospheric Motion Equations and Their Conservation Properties
1.1 Full derivative and local derivative
1.2 Vector form of the motion equations in the rotating reference system
1.3 Continuity equation
1.4 State equation
1.5 Thermodynamic energy equation
1.6 Water vapor equation
1.7 Fundamental equations in the spherical coordinate system
1.8 Fundamental equations in the local rectangular coordinate system
1.9 General vertical coordinates and their equations in the hydrostatic case
1.10 Fundamental conservation properties of atmospheric motion
1.11 Scale analysis method
1.12 Scale analysis of the atmospheric basic motion equations
1.13 Simplification of the atmospheric basic motion equations
1.14 Dimensionless equation
1.15 Basic equations in the p coordinate system
1.16 Equations in a generalized vertical coordinate system
1.17 σ coordinate system
1.18 θ coordinate system
1.19 Equilibrium flow field in the natural coordinate system
1.20 The basic type and nature of the equilibrium flow field
1.21 Thermal wind
1.22 Geostrophic deviation
1.23 Calculation of vertical velocity
1.24 Deep atmospheric motion equations in the non-hydrostatic case
Exercises
References
Chapter 2 Vortex Motion of the Atmosphere
2.1 Absolute circulation theorem
2.2 Relative circulation theorem
2.3 Vorticity
2.4 Taylor-Proudman theorem
2.5 Vertical vorticity equation
2.6 Vorticity equation in the p coordinate system
2.7 Conservation law of the potential vorticity
2.8 The PV theory
Exercises
References
Chapter 3 Waves in the Rotational Stratified Atmosphere
3.1 Basic concepts of waves
3.2 Micro-perturbation method
3.3 Acoustic wave
3.4 Lamb wave
3.5 External gravitational wave
3.6 External inertial gravitational waves
3.7 Internal gravitational wave
3.8 Rossby wave
3.9 Filtering
3.10 Mixed wave solutions in the atmosphere
3.11 Various wave characteristics
3.12 Wave characteristics in the barotropic model
3.13 Variational principle of atmospheric waves
3.14 Nonlinear waves
Exercises
References
Chapter 4 Non-uniform Rossby Wave
4.1 Slow-varying wave train
4.2 Energy and energy flux of Rossby wave
4.3 Dispersion of Rossby wave in the 3 plane
4.4 Multi-scale method for waves
4.5 Rossby wave characteristic equation
4.6 Dispersion of Rossby wave on the sphere
4.7 Meridional propagation of Rossby wave
4.8 Vertical propagation of Rossby wave
4.9 Evolution of Rossby wave, interaction between the wave and the basic flow
4.10 Rossby wave resonance, wave-wave interaction
4.11 Momentum and heat transport by Rossby wave
4.12 EP flux
Exercises
References
Chapter 5 Atmospheric Adjustment Theory
5.1 Physical background of quasi-geostrophic motion generation
5.2 Stages of large-scale motion processes
5.3 Geostrophic adjustment process in a barotropic atmosphere
5.4 Geostrophic adjustment process in a baroclinic atmosphere
5.5 Hydrostatic adjustment process
5.6 Semi-geostrophic adjustment process of the tropical atmosphere
Exercises
References
Chapter 6 Quasi-geostrophic Theory of the Mid-latitude Large-scale Motion
6.1 The quasi-geostrophic motion
6.2 Quasi-geostrophic equations
6.3 Quasi-geostrophic potential tendency equation
6.4 Quasi-geostrophic o equation
6.5 An ideal model for the developing baroclinic disturbance
6.6 vector
6.7 Semingeostrophic motion and geostrophic momentum approximation
Exercises
References
Chapter 7 Atmospheric Energetics
7.1 Basic forms of energy in the atmosphere
7.2 Atmospheric energy balance equation
7.3 Energy conversion in a hydrostatic equilibrium atmosphere
7.4 Available potential energy
7.5 Some conservation properties of the global atmosphere
7.6 Constraint of a hyd
