Quasi-Geostrophic Theory of Oceans and Atmosphere
Topics in the Dynamics and Thermodynamics of the Fluid Earth
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Beschreibung
Large scale flows are strong movements in the atmosphere and in the oceans, governed by the balance between Coriolis and pressure gradient forces (geostrophic equilibrium). This book describes the dynamics, mechanics and thermodynamics of these winds and currents. It is written for researchers, but also accessible for students in the field, since it also gives an overview of applied quasi-geostrophic theory suitable to advanced undergraduate and beginning graduate courses.
Chapter 1 presents concepts and equations of classical inertial fluid mechanics. Chapter 2 deals with the equations of thermodynamics that close the governing equations of the fluids. Then, the motion is reformulated in a uniformly rotating reference frame. Chapter 3 deals with the shallow-water model and the homogeneous model of wind-driven circulation. The chapter also describes a classical application of the Ekman layer to the atmosphere. Chapter 4 considers the two-layer model, as an introduction to baroclinic flows, together with the concept of available potential energy. Chapter 5 takes into account continuously stratified flows in the ocean and in the atmosphere.
Large-scale winds and currents tend to balance Coriolis and pressure gradient forces. The time evolution of these winds and currents is the subject of the quasi-geostrophic theory.
Chapter 1 presents concepts and equations of classical inertial fluid mechanics.
Chapter 2 deals with the equations of thermodynamics that close the governing equations of the fluids. Then, the motion is reformulated in a uniformly rotating reference frame.
Chapter 3 deals with the shallow-water model and the homogeneous model of wind-driven circulation. The chapter also describes a classical application of the Ekman layer to the atmosphere.
Chapter 4 considers the two-layer model, as an introduction to baroclinic flows, together with the concept of available potential energy.
Chapter 5 takes into account continuously stratified flows in the ocean and in the atmosphere.
The book contains a detailed presentation of mathematical computations, which allows the reader to concentrate on physical aspects of the subject A main unifying technique (asymptotic expansion based on scale analysis) is used throughout the book to develop various applications The book makes use of a new notation that facilitates the physical interpretation of mathematical formulas
Autor*in
Fabio Cavallini
Themen in »Quasi-Geostrophic Theory of Oceans and Atmosphere«
Geophysical Fluid Dynamics Large-scale Oceanography Quasi-geostrophic Approximation Synoptic Meteorology fluid- and aerodynamics