Dynamics of the Atmosphere: A Course in Theoretical Meteorology
Dynamics of the Atmosphere consists of two parts: the first presenting the mathematical tools needed for a thorough understanding of the topics covered in the second part of the book. The second part begins with the derivation of the equation describing the atmospheric motion on the rotating earth. Subjects tackled in subsequent chapters include kinematics of the atmosphere (including vorticity and circulation theorems), wave motion in the atmosphere, inertial and dynamic stability, and turbulent systems in the atmosphere. Finally, newer methods of weather prediction, such as the spectral technique and the stochastic dynamic method, are introduced in order to demonstrate their potential for extending the forecasting range. Complete with numerous exercise sets and solutions, this textbook has been written for advanced undergraduate and graduate students of meteorology and other related sciences. It may also be used as a reference source by professional meteorologists and researchers in atmospheric science.
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advection apply approximation assume atmosphere average baroclinic basic basis vectors boundary conditions budget equation Cartesian coordinate system Cartesian coordinates constant continuity equation contravariant coordinate system Coriolis parameter covariant covariant and contravariant defined differential equation divergence dt dt dx dy dyadic dynamic equation of motion exchange coefficient expression field function fixed point flow field fluid flux geopotential geostrophic wind given gradient gravity waves heat equation height hydrostatic hydrostatic equation integral introduce kinetic energy linear measure numbers metric fundamental quantities obtain operator orthogonal phase velocity potential Prandtl layer pressure prognostic equation region relation replaced right-hand side Rossby waves rotation scalar product shown in Figure shows solution stability stereographic stream function streamlines substituting surface temperature tensor term theorem trajectory transformation turbulent two-dimensional unit vectors unstable vanishes variables vectors q vortex vorticity equation wavenumber yields zero