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Dr Amanda Lynch and Dr John Cassano, CIRES, University of Colorado at Boulder, USA.
Preface | p. ix |
Anatomy of a cyclone | p. 1 |
Anatomy of a cyclone | p. 3 |
A 'typical' extra-tropical cyclone | p. 3 |
Describing the atmosphere | p. 4 |
Air masses and fronts | p. 9 |
The structure of a typical extra-tropical cyclone | p. 14 |
Review questions | p. 20 |
Mathematical methods in fluid dynamics | p. 23 |
Scalars and vectors | p. 23 |
The algebra of vectors | p. 23 |
Scalar and vector fields | p. 27 |
Coordinate systems on the Earth | p. 27 |
Gradients of vectors | p. 28 |
Line and surface integrals | p. 31 |
Eulerian and Lagrangian frames of reference | p. 34 |
Advection | p. 35 |
Review questions | p. 38 |
Properties of fluids | p. 41 |
Solids, liquids, and gases | p. 41 |
Thermodynamic properties of air | p. 42 |
Composition of the atmosphere | p. 43 |
Static stability | p. 46 |
The continuum hypothesis | p. 50 |
Practical assumptions | p. 50 |
Continuity equation | p. 51 |
Review questions | p. 53 |
Fundamental forces | p. 57 |
Newton's second law: F = ma | p. 57 |
Body, surface, and line forces | p. 57 |
Forces in an inertial reference frame | p. 58 |
Forces in a rotating reference frame | p. 66 |
The Navier-Stokes equations | p. 72 |
Review questions | p. 74 |
Scale analysis | p. 79 |
Dimensional homogeneity | p. 79 |
Scales | p. 80 |
Non-dimensional parameters | p. 80 |
Scale analysis | p. 84 |
The geostrophic approximation | p. 87 |
Review questions | p. 91 |
Simple steady motion | p. 93 |
Natural coordinate system | p. 93 |
Balanced flow | p. 95 |
The Boussinesq approximation | p. 104 |
The thermal wind | p. 105 |
Departures from balance | p. 108 |
Review questions | p. 114 |
Circulation and vorticity | p. 119 |
Circulation | p. 119 |
Vorticity | p. 124 |
Conservation of potential vorticity | p. 126 |
An introduction to the vorticity equation | p. 130 |
Review questions | p. 132 |
Simple wave motions | p. 135 |
Properties of waves | p. 135 |
Perturbation analysis | p. 138 |
Planetary waves | p. 140 |
Review questions | p. 147 |
Extra-tropical weather systems | p. 149 |
Fronts | p. 149 |
Frontal cyclones | p. 152 |
Baroclinic instability | p. 161 |
Review questions | p. 162 |
Atmospheric phenomena | p. 165 |
Boundary layers | p. 167 |
Turbulence | p. 168 |
Reynolds decomposition | p. 169 |
Generation of turbulence | p. 172 |
Closure assumptions | p. 173 |
Review questions | p. 181 |
Clouds and severe weather | p. 183 |
Moist processes in the atmosphere | p. 183 |
Air mass thunderstorms | p. 191 |
Multi-cell thunderstorms | p. 193 |
Supercell thunderstorms and tornadoes | p. 194 |
Mesoscale convective systems | p. 196 |
Review questions | p. 197 |
Tropical weather | p. 199 |
Scales of motion | p. 199 |
Atmospheric oscillations | p. 203 |
Tropical cyclones | p. 205 |
Review questions | p. 208 |
Mountain weather | p. 209 |
Internal gravity waves | p. 209 |
Flow over mountains | p. 217 |
Downslope windstorms | p. 226 |
Review questions | p. 230 |
Polar weather | p. 233 |
Katabatic winds | p. 233 |
Barrier winds | p. 242 |
Polar lows | p. 247 |
Review questions | p. 249 |
Epilogue: the general circulation | p. 251 |
Fueled by the Sun | p. 251 |
Radiative-convective equilibrium | p. 253 |
The zonal mean circulation | p. 254 |
The angular momentum budget | p. 259 |
The energy cycle | p. 261 |
Symbols | p. 265 |
Constants and units | p. 271 |
Bibliography | p. 273 |
Index | p. 277 |
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