Quasi-Geostrophic Theory of Oceans and Atmosphere
Quasi-Geostrophic Theory of Oceans and Atmosphere

Author: Fabio Cavallini

Publisher: Springer Science & Business Media

Published: 2012-08-11

Total Pages: 395

ISBN-13: 9400746911

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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.

A Mathematical Theory Of Large-scale Atmosphere/ocean Flow
A Mathematical Theory Of Large-scale Atmosphere/ocean Flow

Author: Michael John Priestley Cullen

Publisher: World Scientific

Published: 2006-01-18

Total Pages: 274

ISBN-13: 1783260408

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This book counteracts the current fashion for theories of “chaos” and unpredictability by describing a theory that underpins the surprising accuracy of current deterministic weather forecasts, and it suggests that further improvements are possible. The book does this by making a unique link between an exciting new branch of mathematics called “optimal transportation” and existing classical theories of the large-scale atmosphere and ocean circulation. It is then possible to solve a set of simple equations proposed many years ago by Hoskins which are asymptotically valid on large scales, and use them to derive quantitative predictions about many large-scale atmospheric and oceanic phenomena. A particular feature is that the simple equations used have highly predictable solutions, thus suggesting that the limits of deterministic predictability of the weather may not yet have been reached. It is also possible to make rigorous statements about the large-scale behaviour of the atmosphere and ocean by proving results using these simple equations and applying them to the real system allowing for the errors in the approximation. There are a number of other titles in this field, but they do not treat this large-scale regime.

Atmosphere, Ocean and Climate Dynamics
Atmosphere, Ocean and Climate Dynamics

Author: John Marshall

Publisher: Academic Press

Published: 1972-01-01

Total Pages: 333

ISBN-13: 0080954510

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For advanced undergraduate and beginning graduate students in atmospheric, oceanic, and climate science, Atmosphere, Ocean and Climate Dynamics is an introductory textbook on the circulations of the atmosphere and ocean and their interaction, with an emphasis on global scales. It will give students a good grasp of what the atmosphere and oceans look like on the large-scale and why they look that way. The role of the oceans in climate and paleoclimate is also discussed. The combination of observations, theory and accompanying illustrative laboratory experiments sets this text apart by making it accessible to students with no prior training in meteorology or oceanography.* Written at a mathematical level that is appealing for undergraduates andbeginning graduate students* Provides a useful educational tool through a combination of observations andlaboratory demonstrations which can be viewed over the web* Contains instructions on how to reproduce the simple but informativelaboratory experiments* Includes copious problems (with sample answers) to help students learn thematerial.

The Mathematics Of Large-scale Atmosphere And Ocean
The Mathematics Of Large-scale Atmosphere And Ocean

Author: Michael John Priestley Cullen

Publisher: World Scientific

Published: 2021-06-04

Total Pages: 411

ISBN-13: 9811240167

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The high predictability of the atmosphere and ocean depends on the existence of a 'slow manifold', which contains the solutions of equations describing only large-scale motions. This unique compendium succinctly describes major recent advances in showing that these equations can be solved independently.The book is a new edition of a similar book published 15 years ago. The explanation of the mathematical techniques has been expanded. Many new theoretical results are included. Illustrations derived from production atmosphere and ocean models are also incorporated to cover the full range between rigorous mathematics and state-of-the-art numerical modelling.The author is a dynamical meteorologist with long experience and international standing. The mathematical results in the book were proved by many of the world's leading analysts. The results come from the Met Office Unified Model, which is one of the world's leading weather and climate models.Related Link(s)

Atmosphere-ocean Interaction
Atmosphere-ocean Interaction

Author: Eric Bradshaw Kraus

Publisher: Oxford University Press, USA

Published: 1994

Total Pages: 385

ISBN-13: 0195066189

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"On balance, this book is excellent and deserves to be in the personal collection of active scientists." --Bulletin of the American Meteorological Society

Geophysical Fluid Dynamics I
Geophysical Fluid Dynamics I

Author: Emin Özsoy

Publisher: Springer Nature

Published: 2020-01-16

Total Pages: 296

ISBN-13: 3030169731

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This textbook develops a fundamental understanding of geophysical fluid dynamics by providing a mathematical description of fluid properties, kinematics and dynamics as influenced by earth’s rotation. Its didactic value is based on elaborate treatment of basic principles, derived equations, exemplary solutions and their interpretation. Both starting graduate students and experienced scientists can closely follow the mathematical development of the basic theory applied to the flow of uniform density fluids on a rotating earth, with (1) basic physics introducing the "novel" effects of rotation for flows on planetary scales, (2) simplified dynamics of shallow water and quasi-geostrophic theories applied to a variety of steady, unsteady flows and geophysical wave motions, demonstrating the restoring effects of Coriolis acceleration, earth’s curvature (beta) and topographic steering, (3) conservation of vorticity and energy at geophysical scales, and (4) specific applications to help demonstrate the ability to create and solve new problems in this very rich field. A comprehensive review of the complex geophysical flows of the ocean and the atmosphere is closely knitted with this basic description, intended to be developed further in the second volume that addresses density stratified geophysical fluid dynamics.

Geophysical Fluid Dynamics I
Geophysical Fluid Dynamics I

Author: Emin Özsoy

Publisher:

Published: 2020

Total Pages: 0

ISBN-13: 9783030169749

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A Brief Review of Algebra and Calculus -- Some Properties and Kinematics of Fluids -- Equations Governing the Motion of a Fluid (the Equation of Motion) -- Flow of a Homogeneous Incompressible Viscous Fluid -- Rotating, Homogeneous, Incompressible Fluids -- Shallow Water Theory -- Quasi-geostrophic Theory.