Self Organized Criticality And Predictability In Atmospheric Flows
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| Author | : Amujuri Mary Selvam |
| Publisher | : Springer |
| Total Pages | : 156 |
| Release | : 2017-05-05 |
| Genre | : Science |
| ISBN | : 3319545469 |
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.
| Author | : A. Selvam |
| Publisher | : Luniver Press |
| Total Pages | : 157 |
| Release | : 2007-08 |
| Genre | : Mathematics |
| ISBN | : 1905986076 |
Atmosphere is a chaotic system. As such it is inherently unpredictable. The book applies chaos theory to understand and predict climate systems. Author presents a cell dynamical system model for turbulent fluid flows. The model envisages the irregular space-time fluctuations of the atmospheric flow pattern generated as a consequence of the superimposition of a continuum of eddies. The natural space-time variability is quantified in terms of the universal inverse power-law form of the statistical normal distribution. A range of possible applications of the cell dynamical system model for weather and climate system is discussed. The book provides a comprehensive reference material for scientists and academicians working in the field of atmospheric sciences and related topics.
| Author | : Freddy Bouchet |
| Publisher | : Oxford University Press |
| Total Pages | : 240 |
| Release | : 2020-02-05 |
| Genre | : Business & Economics |
| ISBN | : 0192597450 |
This volume, number 109 of the Les Houches Summer School series, presents the lectures held in August 2017 on the subject of turbulent flows in climate dynamics. Leading scientists in the fields of climate dynamics, atmosphere and ocean dynamics, geophysical fluid dynamics, physics and non-linear sciences present their views on this fast growing and interdisciplinary field of research, by venturing upon fundamental problems of atmospheric convection, clouds, large scale circulation, and predictability. Climate is controlled by turbulent flows. Turbulent motions are responsible for the bulk of the transport of energy, momentum, and water vapor in the atmosphere, which determine the distribution of temperature, winds, and precipitation on Earth. The aim of this book is to survey what is known about how turbulent flows control climate, what role they may play in climate change, and to outline where progress in this important area can be expected, given today's computational and observational capabilities. This book reviews the state-of-the-art developments in this field and provides an essential background to future studies. All chapters are written from a pedagogical perspective, making the book accessible to masters and PhD students and all researchers wishing to enter this field.
| Author | : Anastasios A. Tsonis |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 603 |
| Release | : 2007-09-25 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 0387349170 |
This work comprises the proceedings of a conference held last year in Rhodes, Greece, to assess developments during the last 20 years in the field of nonlinear dynamics in geosciences. The volume has its own authority as part of the Aegean Conferences cycle, but it also brings together the most up-to-date research from the atmospheric sciences, hydrology, geology, and other areas of geosciences, and discusses the advances made and the future directions of nonlinear dynamics.
| Author | : Radyadour Kh. Zeytounian |
| Publisher | : Springer |
| Total Pages | : 0 |
| Release | : 2011-12-16 |
| Genre | : Science |
| ISBN | : 9783642738029 |
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.
| Author | : Eueng-nan Yeh |
| Publisher | : |
| Total Pages | : 360 |
| Release | : 1983 |
| Genre | : Air |
| ISBN | : |
| Author | : G. Latini |
| Publisher | : |
| Total Pages | : |
| Release | : 2012 |
| Genre | : |
| ISBN | : 9781608054831 |
This e-book is a collection of chapters on practical and theoretical aspects of atmospheric flows over flat and complex terrain, with applications to air pollution and wind energy. It is divided into two main sections: the first section deals with atmospheric dynamics, and the second section explains the planetary boundary-layer parameterization that is a key issue for the definition of initial wind flow fields in meteorological and prognostic estimation of turbulence - "Ensemble Nowcasting" for short term prediction. The e-book is unique in that it features a combination of theoretical, analytical and numerical techniques, and tools where the techniques presented in the e-book are demonstrated and can be replicated by the reader. These practical tools can be used to easily test selected mathematical formulation or for performing a swift sensitivity analysis. The tools presented in this reference work focus primarily on mixing height evaluation, representative day identification and PBL characterization by elementary measurements evaluated at surface level. This e-book should be a valuable reference for readers interested in the meteorology of atmospheric wind flows.
| Author | : Donald Lawson Turcotte |
| Publisher | : National Academies Press |
| Total Pages | : 385 |
| Release | : 2002 |
| Genre | : Science |
| ISBN | : 0309082854 |
| Author | : A. M. Selvam |
| Publisher | : Springer |
| Total Pages | : 109 |
| Release | : 2015-02-12 |
| Genre | : Science |
| ISBN | : 3319132695 |
This book aims to promote the understanding of some of the basic mathematical and scientific issues in the subjects relating to climate dynamics, chaos and quantum mechanics. It is based on substantial research work in atmospheric science carried out over twenty years. Atmospheric flows exhibit self similar fractal fluctuations, a signature of long-range correlations on all space-time scales. Realistic simulation and prediction of atmospheric flows requires the incorporation of the physics of observed fractal fluctuation characteristics in traditional meteorological theory. A general systems theory model for fractal space-time fluctuations in turbulent atmospheric flows is presented and applied to the formation of rain in warm clouds. This model gives scale-free universal governing equations for cloud growth processes. The model predicted cloud parameters are in agreement with reported observations, in particular, the cloud drop-size distribution. Rain formation can occur in warm clouds within 30 minutes as observed in practice under favourable conditions of moisture supply in the environment. Traditional cloud physical concepts for rain development requires over an hour for a full-sized raindrop to form. The book provides background reading for postgraduate students of Meteorology, Atmospheric Sciences/Physics, Environmental Sciences, and scientists working in the field of the topic of the book as well as the multidisciplinary field of Nonlinear Dynamics and Chaos.
| Author | : Philip Duncan Thompson |
| Publisher | : |
| Total Pages | : 106 |
| Release | : 1952 |
| Genre | : Atmosphere |
| ISBN | : |
The problem of predicting the behavior of large-scale disturbances in the mean horizontal flow of the earth's atmosphere, which is directly connected with the problem of predicting the day-to-day changes of surface weather conditions, has been studied from the standpoint of formulating and solving the hydrodynamical equations which govern the flow. Owing to the difficulty of solving the complete system of equations, it is convenient to develop a 'scale theory' whereby the various possible types of atmospheric motion, each corresponding to a distinct type of solution, can be distinguished and classified. As it turns out, each type of motion is characterized by its phase speed and frequency. The large-scale disturbances, for example, are distinguished from all other types of motion by the fact that their characteristic phase speed is much less than that of sound waves and of high-speed internal gravity waves. By explicitly introducing this information into a mean vorticity equation for adiabatic flow, it is then possible to reduce the system to a single equation from which the extraneous solutions have been excluded and which is otherwise free of major difficulties. The resulting 'prognostic equation, ' which governs the largescale motions of a fictitious two-dimensional fluid whose velocity is a vertically integrated mean value of the horizontal component of velocity in the real three-dimensional atmosphere, forms the basis for a method of numerical prediction. An iterative scheme, based on the solutions of a succession of linear equations, has been proposed for solving the nonlinear prognostic equation. (Author).
