Lectures on Geophysical Fluid DynamicsLectures on Geophysical Fluid Dynamics offers an introduction to several topics in geophysical fluid dynamics, including the theory of large-scale ocean circulation, geostrophic turbulence, and Hamiltonian fluid dynamics. Since each chapter is a self-contained introduction to its particular topic, the book will be useful to students and researchers in diverse scientific fields. |
Contents
| 3 | |
2 Introduction to Geophysical Fluid Dynamics | 50 |
3 Noninertial Theory of Ocean Circulation | 120 |
4 Vorticity and Turbulence | 197 |
5 Statistical Fluid Dynamics | 232 |
6 Geostrophic Turbulence | 263 |
7 Hamiltonian Fluid Dynamics | 295 |
| 363 | |
| 373 | |
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absolute-equilibrium advection approximation arbitrary assumption average baroclinic barotropic boundary conditions boundary layer chapter coefficient conservation laws consider constant coordinates corresponding deformation radius density depends derivative determined dt dt dynamics eddies Ekman layer enstrophy entropy equilibrium Eulerian figure fluid particles geostrophic H₁ Hamilton's principle Hamiltonian horizontal inertia-gravity waves initial conditions interior k₁ kmax Lagrangian linear mean flow molecular molecules momentum equation motion nonlinear obtain ocean phase space potential energy potential vorticity pressure primitive equations quasigeostrophic equations right-hand side Rossby waves rotating scale shallow-water equations solution statistical mechanics stream function suppose symmetry temperature theory thermocline thermodynamic tion topography transformation two-dimensional turbulence vanishes variables variations vector vertical velocity viscosity vortex tube vorticity equation wave number western boundary ότ στ ах дж ди дл др ду эт Эх
Popular passages
Page 8 - L is taken to be the difference between the kinetic energy T and the potential energy V, so L = T — V . This considerably simplifies many physical problems.
Page 363 - Abarbanel, HDI, DD Holm, JE Marsden, and TS Ratiu [1986] Nonlinear stability analysis of stratified fluid equilibria. Phil. Trans. Roy. Soc. London A 318, 349—409; also Richardson number criterion for the nonlinear stability of threedimensional stratified flow. Phys. Rev. Lett. 52 [1984], 2552-2555.