Geophysical Fluid Dynamics
This second edition of the widely acclaimed Geophysical Fluid Dynamics by Joseph Pedlosky offers the reader a high-level, unified treatment of the theory of the dynamics of large-scale motions of the oceans and atmosphere. Revised and updated, it includes expanded discussions of * the fundamentals of geostrophic turbulence * the theory of wave-mean flow interaction * thermocline theory * finite amplitude barocline instability. From the reviews: "The author has done a masterful job in presenting the theory with the necessary mathematical foundation, while keeping the physical aspects in clear view...it is an outstanding introduction to a complex and important subject." GEOPHYSICS
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6-plane advective amplitude approximation atmosphere balance baroclinic baroclinic instability barotropic becomes boundary conditions boundary layer circulation conservation Consider constant contours Coriolis parameter curl deformation radius density dimensional dissipation dynamics eddy Ekman layer enstrophy equations of motion fluid element follows force frequency friction group velocity Hence homogeneous implies independent inertial instability integral interior inviscid Kelvin wave latitude linear lowest order mass flux meridional mode momentum no-slip condition nondimensional nonlinear Note ocean oscillation parameter perturbation phase speed plane planetary vorticity potential vorticity potential-vorticity pressure gradient problem quasigeostrophic region relation relative vorticity right-hand side Rossby number Rossby wave rotation satisfy Section shear shown in Figure solution stream function streamlines surface Sverdrup synoptic scale temperature theory thermocline tion upper Ekman layer vanishes variables vertical scale vertical velocity vorticity equation vorticity gradient wave number wave vector wavelength x-direction yields zero zonal flow