• Mathematics

Introduction to Geophysical Fluid Dynamics

Physical and Numerical Aspects
Author: Benoit Cushman-Roisin,Jean-Marie Beckers
Publisher: Academic Press
ISBN: 0120887592
Category: Mathematics
Page: 828
View: 1764
Inhaltsverzeichnis: I Fundamentals - 1: Introduction - 2: The Coriolis Force - 3: Equations of Fluid Motion - 4: Equations Governing Geophysical Flows - 5: Diffusive Processes - 6: Transport and FateII Rotation Effects - 7: Geostrophic Flows and Vorticity Dynamics - 8: Ekman layer - 9: Barotropic Waves - 10: Barotropic Instability - III Stratification Effects - 11: Stratification - 12: Layered Models - 13: Internal Waves - 14: Turbulence in Stratified Fluids - IV Combined Rotation and Stratification Effects - 15: Dynamics of Stratified Rotating Flows - 16: Quasi-Geostrophic Dynamics - 17: Instabilities of Rotating Stratified Flows - 18: Fronts, Jets and VorticesV Special Topics - 19: Atmospheric General Circulation - 20: Oceanic General Circulation - 21: Equatorial Dynamics - 22: Data Assimilation - VI Web-site information Appendix A: Elements of Fluid Mechanics - Appendix B: Wave KinematicsAppendix C: Recapitulation of Numerical SchemesReferencesCD-ROM

    • Science

Geophysical Fluid Dynamics


Author: Joseph Pedlosky
Publisher: Springer
ISBN: 0387963871
Category: Science
Page: 710
View: 7434
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.

    • Science

Fundamentals of Geophysical Fluid Dynamics


Author: James C. McWilliams
Publisher: Cambridge University Press
ISBN: 052185637X
Category: Science
Page: 249
View: 8184
Intermediate/advanced textbook which provides concise and accessible introduction to GFD for broad range of students.

    • Science

Atmospheric and Oceanic Fluid Dynamics


Author: Geoffrey K. Vallis
Publisher: Cambridge University Press
ISBN: 110706550X
Category: Science
Page: 1002
View: 2568
The atmosphere and ocean are two of the most important components of the climate system, and fluid dynamics is central to our understanding of both. This book provides a unified and comprehensive treatment of the field that blends classical results with modern interpretations. It takes the reader seamlessly from the basics to the frontiers of knowledge, from the equations of motion to modern theories of the general circulation of the atmosphere and ocean. These concepts are illustrated throughout the book with observations and numerical examples. As well as updating existing chapters, this full-color second edition includes new chapters on tropical dynamics, El Nio, the stratosphere and gravity waves. Supplementary resources are provided online, including figures from the book and problem sets, making this new edition an ideal resource for students in the atmospheric, oceanic and climate sciences, as well as in applied mathematics and engineering.

    • Science

Lectures on Geophysical Fluid Dynamics


Author: Rick Salmon
Publisher: Oxford University Press
ISBN: 9780195355321
Category: Science
Page: 400
View: 1951
Lectures 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.


    • Science

An Introduction to Atmospheric Gravity Waves


Author: Carmen J. Nappo
Publisher: Elsevier
ISBN: 9780080491660
Category: Science
Page: 279
View: 1138
Gravity waves exist in all types of geophysical fluids, such as lakes, oceans, and atmospheres. They play an important role in redistributing energy at disturbances, such as mountains or seamounts and they are routinely studied in meteorology and oceanography, particularly simulation models, atmospheric weather models, turbulence, air pollution, and climate research. An Introduction to Atmospheric Gravity Waves provides readers with a working background of the fundamental physics and mathematics of gravity waves, and introduces a wide variety of applications and numerous recent advances. Nappo provides a concise volume on gravity waves with a lucid discussion of current observational techniques and instrumentation. Foreword is written by Prof. George Chimonas, a renowned expert on the interactions of gravity waves with turbulence. CD containing real data, computer codes for data analysis and linear gravity wave models included with the text

    • Mathematics

Numerical Methods for Fluid Dynamics

With Applications to Geophysics
Author: Dale R. Durran
Publisher: Springer Science & Business Media
ISBN: 9781441964120
Category: Mathematics
Page: 516
View: 1529
This scholarly text provides an introduction to the numerical methods used to model partial differential equations, with focus on atmospheric and oceanic flows. The book covers both the essentials of building a numerical model and the more sophisticated techniques that are now available. Finite difference methods, spectral methods, finite element method, flux-corrected methods and TVC schemes are all discussed. Throughout, the author keeps to a middle ground between the theorem-proof formalism of a mathematical text and the highly empirical approach found in some engineering publications. The book establishes a concrete link between theory and practice using an extensive range of test problems to illustrate the theoretically derived properties of various methods. From the reviews: "...the books unquestionable advantage is the clarity and simplicity in presenting virtually all basic ideas and methods of numerical analysis currently actively used in geophysical fluid dynamics." Physics of Atmosphere and Ocean

    • Science

Waves in the Ocean and Atmosphere

Introduction to Wave Dynamics
Author: Joseph Pedlosky
Publisher: Springer Science & Business Media
ISBN: 3662051311
Category: Science
Page: 264
View: 9548
A study of the fundamental theory of waves appropriate for first year graduate students in oceanography, meteorology and associated sciences. Starting with an elementary overview of the basic wave concept, specific wave phenomena are then examined, including: surface gravity waves, internal gravity waves, lee waves, waves in the presence of rotation, and geostrophic adjustment. Each wave topic is used to introduce either a new technique or concept in general wave theory. Emphasis is placed on connectivity between the various subjects and on the physical interpretation of the mathematical results. The book contains numerous exercises at the end of the respective chapters.

    • Mathematics

Mathematical Geophysics

An Introduction to Rotating Fluids and the Navier-Stokes Equations
Author: Jean-Yves Chemin
Publisher: Oxford University Press on Demand
ISBN: 019857133X
Category: Mathematics
Page: 250
View: 1801
In Part IV the stability of Ekman boundary layers, and boundary layer effects in magnetohydrodynamics and quasigeostrophic equations are discussed, and some open problems are presented."--BOOK JACKET.

    • Science

Fluid Mechanics


Author: Pijush K. Kundu,Ira M. Cohen,David R Dowling
Publisher: Academic Press
ISBN: 0124071511
Category: Science
Page: 928
View: 9385
The classic textbook on fluid mechanics is revised and updated by Dr. David Dowling to better illustrate this important subject for modern students. With topics and concepts presented in a clear and accessible way, Fluid Mechanics guides students from the fundamentals to the analysis and application of fluid mechanics, including compressible flow and such diverse applications as aerodynamics and geophysical fluid mechanics. Its broad and deep coverage is ideal for both a first or second course in fluid dynamics at the graduate or advanced undergraduate level, and is well-suited to the needs of modern scientists, engineers, mathematicians, and others seeking fluid mechanics knowledge. Over 100 new examples designed to illustrate the application of the various concepts and equations featured in the text A completely new chapter on computational fluid dynamics (CFD) authored by Prof. Gretar Tryggvason of the University of Notre Dame. This new CFD chapter includes sample MatlabTM codes and 20 exercises New material on elementary kinetic theory, non-Newtonian constitutive relationships, internal and external rough-wall turbulent flows, Reynolds-stress closure models, acoustic source terms, and unsteady one-dimensional gas dynamics Plus 110 new exercises and nearly 100 new figures

    • Science

Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows


Author: Andrew Majda,Xiaoming Wang
Publisher: Cambridge University Press
ISBN: 1139452274
Category: Science
Page: N.A
View: 3236
The general area of geophysical fluid mechanics is truly interdisciplinary. Now ideas from statistical physics are being applied in novel ways to inhomogeneous complex systems such as atmospheres and oceans. In this book, the basic ideas of geophysics, probability theory, information theory, nonlinear dynamics and equilibrium statistical mechanics are introduced and applied to large time-selective decay, the effect of large scale forcing, nonlinear stability, fluid flow on a sphere and Jupiter's Great Red Spot. The book is the first to adopt this approach and it contains many recent ideas and results. Its audience ranges from graduate students and researchers in both applied mathematics and the geophysical sciences. It illustrates the richness of the interplay of mathematical analysis, qualitative models and numerical simulations which combine in the emerging area of computational science.

    • Science

Instabilities, Chaos and Turbulence


Author: Paul Manneville
Publisher: World Scientific
ISBN: 1848163924
Category: Science
Page: 439
View: 5121
This book (2nd edition) is a self-contained introduction to a wide body of knowledge on nonlinear dynamics and chaos. Manneville emphasises the understanding of basic concepts and the nontrivial character of nonlinear response, contrasting it with the intuitively simple linear response. He explains the theoretical framework using pedagogical examples from fluid dynamics, though prior knowledge of this field is not required. Heuristic arguments and worked examples replace most esoteric technicalities. Only basic understanding of mathematics and physics is required, at the level of what is currently known after one or two years of undergraduate training: elementary calculus, basic notions of linear algebra and ordinary differential calculus, and a few fundamental physical equations (specific complements are provided when necessary). Methods presented are of fully general use, which opens up ample windows on topics of contemporary interest. These include complex dynamical processes such as patterning, chaos control, mixing, and even the Earth's climate. Numerical simulations are proposed as a means to obtain deeper understanding of the intricacies induced by nonlinearities in our everyday environment, with hints on adapted modelling strategies and their implementation.

    • Science

An Introduction to Dynamic Meteorology


Author: James R. Holton
Publisher: Academic Press
ISBN: 0123540151
Category: Science
Page: 535
View: 2476
MATLAB scripts (M-files) are provided on the accompanying CD.

    • Science

Atmosphere—Ocean Dynamics


Author: Adrian E. Gill
Publisher: Elsevier
ISBN: 1483281582
Category: Science
Page: 682
View: 452
Atmosphere-Ocean Dynamics deals with a systematic and unified approach to the dynamics of the ocean and atmosphere. The book reviews the relationship of the ocean-atmosphere and how this system functions. The text explains this system through radiative equilibrium models; the book also considers the greenhouse effect, the effects of convection and of horizontal gradients, and the variability in radiative driving of the earth. Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. The text also explains the effect of the earth's rotation on the system, as well as the application of forced motions such as that produced by wind or temperature changes. The book explains tropical dynamics and the effects of variation of the Coriolis parameter with latitude. The text will be appreciated by meteorologists, environmentalists, students studying hydrology, and people working in general earth sciences.

    • Science

Physical Fluid Dynamics


Author: D. J. Tritton
Publisher: Springer Science & Business Media
ISBN: 9400999925
Category: Science
Page: 362
View: 9157
To classify a book as 'experimental' rather than 'theoretical' or as 'pure' rather than 'applied' is liable to imply umeal distinctions. Nevertheless, some Classification is necessary to teIl the potential reader whether the book is for him. In this spirit, this book may be said to treat fluid dynamies as a branch of physics, rather than as a branch of applied mathematics or of engineering. I have often heard expressions of the need for such a book, and certainly I have feIt it in my own teaching. I have written it primariIy for students of physics and of physics-based applied science, aIthough I hope others may find it useful. The book differs from existing 'fundamental' books in placing much greater emphasis on what we know through laboratory experiments and their physical interpretation and less on the mathe matieal formalism. It differs from existing 'applied' books in that the choice of topics has been made for the insight they give into the behaviour of fluids in motion rather than for their practical importance. There are differences also from many existing books on fluid dynamics in the branches treated, reflecting to some extent shifts of interest in reeent years. In particular, geophysical and astrophysical applications have prompted important fundamental developments in topics such as conveetion, stratified flow, and the dynamics of rotating fluids. These developments have hitherto been reflected in the contents of textbooks only to a limited extent.

    • Science

Waves and Mean Flows


Author: Oliver Bühler
Publisher: Cambridge University Press
ISBN: 1107783216
Category: Science
Page: N.A
View: 6760
Interactions between waves and mean flows play a crucial role in understanding the long-term aspects of atmospheric and oceanographic modelling. Indeed, our ability to predict climate change hinges on our ability to model waves accurately. This book gives a modern account of the nonlinear interactions between waves and mean flows, such as shear flows and vortices. A detailed account of the theory of linear dispersive waves in moving media is followed by a thorough introduction to classical wave-mean interaction theory. The author then extends the scope of the classical theory and lifts its restriction to zonally symmetric mean flows. It can be used as a fundamental reference, a course text, or by geophysicists and physicists needing a first introduction. This second edition includes brand new material, including a section on Langmuir circulations and the Craik–Leibovich instability. The author has also added exercises to aid students' learning.

    • Technology & Engineering

Physical Oceanography

A Mathematical Introduction with MATLAB
Author: Reza Malek-Madani
Publisher: CRC Press
ISBN: 1439898294
Category: Technology & Engineering
Page: 456
View: 8258
Accessible to advanced undergraduate students, Physical Oceanography: A Mathematical Introduction with MATLAB® demonstrates how to use the basic tenets of multivariate calculus to derive the governing equations of fluid dynamics in a rotating frame. It also explains how to use linear algebra and partial differential equations (PDEs) to solve basic initial-boundary value problems that have become the hallmark of physical oceanography. The book makes the most of MATLAB’s matrix algebraic functions, differential equation solvers, and visualization capabilities. Focusing on the interplay between applied mathematics and geophysical fluid dynamics, the text presents fundamental analytical and computational tools necessary for modeling ocean currents. In physical oceanography, the fluid flows of interest occur on a planet that rotates; this rotation can balance the forces acting on the fluid particles in such a delicate fashion to produce exquisite phenomena, such as the Gulf Stream, the Jet Stream, and internal waves. It is precisely because of the role that rotation plays in oceanography that the field is fundamentally different from the rectilinear fluid flows typically observed and measured in laboratories. Much of this text discusses how the existence of the Gulf Stream can be explained by the proper balance among the Coriolis force, wind stress, and molecular frictional forces. Through the use of MATLAB, the author takes a fresh look at advanced topics and fundamental problems that define physical oceanography today. The projects in each chapter incorporate a significant component of MATLAB programming. These projects can be used as capstone projects or honors theses for students inclined to pursue a special project in applied mathematics.

    • Science

Gas Dynamics

An Introduction with Examples from Astrophysics and Geophysics
Author: Abraham Achterberg
Publisher: Springer
ISBN: 9462391955
Category: Science
Page: 391
View: 1545
This book lays the foundations of gas- and fluid dynamics.The basic equations are developed from first principles, building on the (assumed) knowledge of Classical Mechanics. This leads to the discussion of the mathematical properties of flows, conservation laws, perturbation analysis, waves and shocks. Most of the discussion centers on ideal (frictionless) fluids and gases. Viscous flows are discussed when considering flows around obstacles and shocks. Many of the examples used to illustrate various processes come from astrophysics and geophysical phenomena.