Asymptotic Modeling of Atmospheric Flows
Asymptotic Modeling of Atmospheric Flows

Author: Radyadour Kh. Zeytounian

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 405

ISBN-13: 3642738001

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The present work is not exactly a "course", but rather is presented as a monograph in which the author has set forth what are, for the most part, his own results; this is particularly true of Chaps. 7-13. Many of the problems dealt with herein have, since the school year 1975-76, been the subject of a series of graduate lectures at the "Universire des Sciences et Techniques de Lille I" for students preparing for the "Diplome d'Etudes Ap profondies de Mecanique (option fluides)". The writing of this book was thus strongly influenced by the author's own conception of meteorology as a fluid mechanics discipline which is in a privi leged area for the application of singular perturbation techniques. It goes without saying that the modeling of atmospheric flows is a vast and complex problem which is presently the focal point of many research projects. The enonnity of the topic explains why many important questions have not been taken up in this work, even among those which are closely related to the subject treated herein. Nonetheless, the author thought it worthwhile for the development of future research on the modeling of atmospheric flows (from the viewpoint of theoretical fluid mechanics) to bring forth a book specifying the problems which have already been resolved in this field and those which are, as yet, unsolved.

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.

Self-organized Criticality and Predictability in Atmospheric Flows
Self-organized Criticality and Predictability in Atmospheric Flows

Author: Amujuri Mary Selvam

Publisher: Springer

Published: 2017-05-05

Total Pages: 156

ISBN-13: 3319545469

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This book presents a new concept of General Systems Theory and its application to atmospheric physics. It reveals that energy input into the atmospheric eddy continuum, whether natural or manmade, results in enhancement of fluctuations of all scales, manifested immediately in the intensification of high-frequency fluctuations such as the Quasi-Biennial Oscillation and the El-Nino–Southern Oscillation cycles. Atmospheric flows exhibit self-organised criticality, i.e. long-range correlations in space and time manifested as fractal geometry to the spatial pattern concomitant with an inverse power law form for fluctuations of meteorological parameters such as temperature, pressure etc. Traditional meteorological theory cannot satisfactorily explain the observed self-similar space time structure of atmospheric flows. A recently developed general systems theory for fractal space-time fluctuations shows that the larger-scale fluctuation can be visualised to emerge from the space-time averaging of enclosed small-scale fluctuations, thereby generating a hierarchy of self-similar fluctuations manifested as the observed eddy continuum in power spectral analyses of fractal fluctuations. The interconnected network of eddy circulations responds as a unified whole to local perturbations such as global-scale response to El-Nino events. The general systems theory model predicts an inverse power law form incorporating the golden mean τ for the distribution of space-time fluctuation patterns and for the power (variance) spectra of the fluctuations. Since the probability distributions of amplitude and variance are the same, atmospheric flows exhibit quantumlike chaos. Long-range correlations inherent to power law distributions of fluctuations are identified as nonlocal connection or entanglement exhibited by quantum systems such as electrons or photons. The predicted distribution is close to the Gaussian distribution for small-scale fluctuations, but exhibits a fat long tail for large-scale fluctuations. Universal inverse power law for fractal fluctuations rules out unambiguously linear secular trends in climate parameters.

Atmospheric and Oceanic Fluid Dynamics
Atmospheric and Oceanic Fluid Dynamics

Author: Geoffrey K. Vallis

Publisher: Cambridge University Press

Published: 2006-11-06

Total Pages: 772

ISBN-13: 1139459961

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Fluid dynamics is fundamental to our understanding of the atmosphere and oceans. Although many of the same principles of fluid dynamics apply to both the atmosphere and oceans, textbooks tend to concentrate on the atmosphere, the ocean, or the theory of geophysical fluid dynamics (GFD). This textbook provides a comprehensive unified treatment of atmospheric and oceanic fluid dynamics. The book introduces the fundamentals of geophysical fluid dynamics, including rotation and stratification, vorticity and potential vorticity, and scaling and approximations. It discusses baroclinic and barotropic instabilities, wave-mean flow interactions and turbulence, and the general circulation of the atmosphere and ocean. Student problems and exercises are included at the end of each chapter. Atmospheric and Oceanic Fluid Dynamics: Fundamentals and Large-Scale Circulation will be an invaluable graduate textbook on advanced courses in GFD, meteorology, atmospheric science and oceanography, and an excellent review volume for researchers. Additional resources are available at www.cambridge.org/9780521849692.

Atmospheric Processes over Complex Terrain
Atmospheric Processes over Complex Terrain

Author: William Blumen

Publisher: Springer

Published: 2016-06-30

Total Pages: 331

ISBN-13: 1935704257

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The objectives of the American Meteorological Society are "the development and dissemination of knowledge of meteorology in all its phases and applications, and the advancement of its professional ideals." The organization of the Society took place in affiliation with the American Association for the Advancement of Science at Saint Louis, Missouri, December 29, 1919, and its incorporation, at Washington, D. C., January 21, 1920. The work of the Society is carried on by the Bulletin, the Journal, and Meteorological Monographs, by papers and discussions at meetings of the Society, through the offices of the Secretary and the Executive Secretary, and by correspondence. All of the Americas are represented in the membership of the Society as well as many foreign countries.

Atmospheric Boundary Layer Flows
Atmospheric Boundary Layer Flows

Author: J. C. Kaimal

Publisher: Oxford University Press, USA

Published: 1994

Total Pages: 304

ISBN-13: 0195062396

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This text gives a simple view of the structure of the boundary layer, the instruments available for measuring its mean and turbulent properties, how best to make the measurements, and ways to process and analyze the data.

Atmospheric Physics
Atmospheric Physics

Author: Ulrich Schumann

Publisher: Springer Science & Business Media

Published: 2012-07-17

Total Pages: 884

ISBN-13: 3642301835

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On the occasion of the 50th anniversary of the Institute of Atmospheric Physics of the German Aerospace Center (DLR), this book presents more than 50 chapters highlighting results of the institute’s research. The book provides an up-to-date, in-depth survey across the entire field of atmospheric science, including atmospheric dynamics, radiation, cloud physics, chemistry, climate, numerical simulation, remote sensing, instruments and measurements, as well as atmospheric acoustics. The authors have provided a readily comprehensible and self-contained presentation of the complex field of atmospheric science. The topics are of direct relevance for aerospace science and technology. Future research challenges are identified.

Atmospheric Circulation Dynamics and Circulation Models
Atmospheric Circulation Dynamics and Circulation Models

Author: Masaki Satoh

Publisher: Springer Science & Business Media

Published: 2004-05-03

Total Pages: 676

ISBN-13: 9783540426387

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This book describes the methods used to construct general circulation models of the atmosphere, and how such models perform in applications relating to the real climate and environmental systems. The author describes the fundamental dynamics of the atmospheric circulation, modelling of the general circulation, and applications of GCMs. The book consists of three parts: - Part 1 summarizes the physical processes involved, including basic equations, waves and instabilities; - Part 2 covers atmospheric structures, including various types of one- and two-dimensional structures and circulations; - Part 3 describes the basic notions for construction of general circulation models of the atmosphere and their applications. Atmospheric Circulation Dynamics and General Circulation Methods includes an appendix incorporating the basic data and mathematical formulae required to enable readers to construct GCMs for themselves.

The Earth's Atmosphere
The Earth's Atmosphere

Author: Kshudiram Saha

Publisher: Springer Science & Business Media

Published: 2008-05-14

Total Pages: 374

ISBN-13: 3540784276

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The author has sought to incorporate in the book some of the fundamental concepts and principles of the physics and dynamics of the atmosphere, a knowledge and understanding of which should help an average student of science to comprehend some of the great complexities of the earth-atmosphere system, in which a thr- way interaction between the atmosphere, the land and the ocean tends to maintain an overall mass and energy balance in the system through physical and dynamical processes. The book, divided into two parts and consisting of 19 chapters, introduces only those aspects of the subject that, according to the author, are deemed essential to meet the objective in view. The emphasis is more on clarity and understanding of physical and dynamical principles than on details of complex theories and ma- ematics. Attempt is made to treat each subject from ?rst principles and trace its development to present state, as far as possible. However, a knowledge of basic c- culus and differential equations is sine qua non especially for some of the chapters which appear later in the book.

Diffusion and Transport of Pollutants in Atmospheric Mesoscale Flow Fields
Diffusion and Transport of Pollutants in Atmospheric Mesoscale Flow Fields

Author: A. Gyr

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 224

ISBN-13: 9401585474

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In regions as densely populated as Western Europe, prediction of the ecological implications of pollutant transport are important in order to minimise damage in the case of accidents, and to evaluate the possible influence of existing or planned sources. In most cases, such predictions depend on high-speed computation. The present textbook presents a mathematically explicit introduction in eight chapters: 1: An introduction to the basics of fluid dynamics of the atmosphere and the local events and mesoscale processes. 2: The types of PDEs describing atmospheric flows for limited area models, the problem of appropriate boundary conditions describing the topographical constraints, and well-posedness. 3: Thermodynamics of the atmosphere, dry and wet, its stability, and radiation processes, budgets and the influence of their sum. 4: Scaling and similarity laws for stable and convective turbulent atmospheric boundary layers and the influence of inhomogeneous terrain on the advection and the vertical dispersion, and the method of large eddy simulation. 5: Statistical processes in turbulent dispersion, turbulent diffusion and chemical reactions in fluxes. 6: Theoretical modelling of diffusion and dispersion of pollutant gases. 7: The influence of urban heat production on local climate. 8: Atmospheric inversion layers and lapping inversion, the stable boundary layer and nocturnal inversion.