Random Functions And Turbulence By S Panchev
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| Author | : S. Panchev |
| Publisher | : Elsevier |
| Total Pages | : 459 |
| Release | : 2016-10-27 |
| Genre | : Technology & Engineering |
| ISBN | : 148314559X |
International Series of Monographs in Natural Philosophy, Volume 32: Random Functions and Turbulence focuses on the use of random functions as mathematical methods. The manuscript first offers information on the elements of the theory of random functions. Topics include determination of statistical moments by characteristic functions; functional transformations of random variables; multidimensional random variables with spherical symmetry; and random variables and distribution functions. The book then discusses random processes and random fields, including stationarity and ergodicity of random processes; influence of finiteness of the interval of averaging; scalar and vector random fields; and statistical moments. The text takes a look at the statistical theory of turbulence. Topics include turbulence with very large Reynolds numbers; emergence of turbulent motion; and energy spectrum in isothermal turbulent shear flow. The book also discusses small-scale and large-scale atmospheric turbulence and applications to numerical weather analysis and prediction. The manuscript is a vital source of data for readers interested in random theory.
| Author | : Shankar Subramaniam |
| Publisher | : Academic Press |
| Total Pages | : 588 |
| Release | : 2022-10-20 |
| Genre | : Technology & Engineering |
| ISBN | : 0323901344 |
Modelling Approaches and Computational Methods for Particle-laden Turbulent Flows introduces the principal phenomena observed in applications where turbulence in particle-laden flow is encountered while also analyzing the main methods for analyzing numerically. The book takes a practical approach, providing advice on how to select and apply the correct model or tool by drawing on the latest research. Sections provide scales of particle-laden turbulence and the principal analytical frameworks and computational approaches used to simulate particles in turbulent flow. Each chapter opens with a section on fundamental concepts and theory before describing the applications of the modelling approach or numerical method. Featuring explanations of key concepts, definitions, and fundamental physics and equations, as well as recent research advances and detailed simulation methods, this book is the ideal starting point for students new to this subject, as well as an essential reference for experienced researchers. - Provides a comprehensive introduction to the phenomena of particle laden turbulent flow - Explains a wide range of numerical methods, including Eulerian-Eulerian, Eulerian-Lagrange, and volume-filtered computation - Describes a wide range of innovative applications of these models
| Author | : S. Panchev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 376 |
| Release | : 2012-12-06 |
| Genre | : Science |
| ISBN | : 940095221X |
1. ABOUT THE DISCIPLINE 'DYNAMIC METEOROLOGY' The name 'dynamic meteorology' is traditional for designating a university course as well as the scientific branch of meteorology as a whole. While there is no need to abandon this name, it needs contemporary treatment and specifications in its definition. A synonym for it could be 'dynamics (more precisely, hydrodynamics or fluid dynamics) of the atmosphere'. It suggests the relationship of this discipline to general hydrodynamics and applied mathematics and its pronounced theoretical nature. Besides the atmosphere, however, our planet has another (liquid) envelope - the hydrosphere (world's ocean), which also concerns ocean dynamics and, therefore, it is necessary to define, from a unified standpoint, the subject and aims of the disciplines dealing with the dynamics of the processes which take place in both fluid spheres. Such a unified standpoint offers the so-called geophysical fluid dynamics. During the past few years this description is encountered quite often in scientific literature concerning the Earth as a planet. Obviously, a scientific branch or a science is created whose subject is our planet and the investigation methods are borrowed from classical fluid dynamics and applied mathematics, including the most recent numerical methods. As can be seen from its very suitable name, it is the dynamics of quite definite geophysical fluids (atmosphere, ocean and even the liquid inside of the Earth) and not of some abstract (often perfect) flUids, as in classical hydrodynamics.
| Author | : A.A. Ivanov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 255 |
| Release | : 2012-12-06 |
| Genre | : Mathematics |
| ISBN | : 9400911831 |
'Et moi ... - si j'avait su comment en revcnir. One service mathematics has rendered the je n'y scrais point aile.' human race. It has put common sense back where it belongs, on the topmost shclf next Jules Verne to the dusty canister labdlcd 'discarded non· The series is divergent; therefore we may be sense'. able to do something with it Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
| Author | : Edmond M. Dewan |
| Publisher | : |
| Total Pages | : 58 |
| Release | : 1976 |
| Genre | : Atmospheric turbulence |
| ISBN | : |
This paper is motivated by the requirement to improve understanding of vertical motion of pollutants in the stratosphere. One method to estimate vertical transport due to the effects of turbulence is by means of the effective diffusivity coefficient. To calculate this parameter, it is often necessary to know the value of epsilon, the rate of turbulent dissipation. This parameter, epsilon, is also important to know in the context of the global numerical stratospheric simulation models now being created for environmental assessment purposes.
| Author | : Akira Ishimaru |
| Publisher | : John Wiley & Sons |
| Total Pages | : 608 |
| Release | : 1999-02-04 |
| Genre | : Education |
| ISBN | : 9780780347175 |
Electrical Engineering Wave Propagation and Scattering in Random Media A volume in the IEEE/OUP Series on Electromagnetic Wave Theory Donald G. Dudley, Series Editor This IEEE Classic Reissue presents a unified introduction to the fundamental theories and applications of wave propagation and scattering in random media. Now for the first time, the two volumes of Wave Propagation and Scattering in Random Media previously published by Academic Press in 1978 are combined into one comprehensive volume. This book presents a clear picture of how waves interact with the atmosphere, terrain, ocean, turbulence, aerosols, rain, snow, biological tissues, composite material, and other media. The theories presented will enable you to solve a variety of problems relating to clutter, interference, imaging, object detection, and communication theory for various media. This book is expressly designed for engineers and scientists who have an interest in optical, microwave, or acoustic wave propagation and scattering. Topics covered include: Wave characteristics in aerosols and hydrometeors Optical and acoustic scattering in sea water Scattering from biological materials Pulse scattering and beam wave propagation in such media Optical diffusion in tissues and blood Transport and radiative transfer theory Kubelka—Munk flux theory and plane-parallel problem Multiple scattering theory Wave fluctuations in turbulence Strong fluctuation theory Rough surface scattering Remote sensing and inversion techniques Imaging through various media About the IEEE/OUP Series on Electromagnetic Wave Theory Formerly the IEEE Press Series on Electromagnetic Waves, this joint series between IEEE Press and Oxford University Press offers outstanding coverage of the field with new titles as well as reprintings and revisions of recognized classics that maintain long-term archival significance in electromagnetic waves and applications. Designed specifically for graduate students, practicing engineers, and researchers, this series provides affordable volumes that explore electromagnetic waves and applications beyond the undergraduate level. See page il of the front matter for a listing of books in this series.
| Author | : A. L. H. Gameson |
| Publisher | : Elsevier |
| Total Pages | : 471 |
| Release | : 2015-12-04 |
| Genre | : Technology & Engineering |
| ISBN | : 1483157946 |
Supplement to Progress in Water Technology: Discharge of Sewage from Sea Outfalls is a proceeding of an international symposium held at Church House, London on 27 August to 2 September 1974. Said symposium is concerned with the pollution and dangers to health of sewage discharged from sea outfalls. The book discusses the discharge of sewage from sea outfalls and the problems associated with it according to location: the North Sea, the Mediterranean, the United States, Hong Kong, and the Baltic. Also covered in the book are the effects of pollutants, heavy metals, and microorganisms on the marine environment; how pollutants can be used as an indicator of pollution; and means of the elimination of pollutants. The text is recommended to sanitation engineers, port authorities, marine biologists, and officials concerned with aquatic resources and residential areas along coastlines.
| Author | : François G. Schmitt |
| Publisher | : Cambridge University Press |
| Total Pages | : 231 |
| Release | : 2016-01-07 |
| Genre | : Mathematics |
| ISBN | : 1107067618 |
This book provides a thorough understanding of the techniques used to retrieve multi-scale information from turbulent and complex systems, with case studies.
| Author | : Peter Alan Davidson |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 678 |
| Release | : 2004 |
| Genre | : Turbulence |
| ISBN | : 019852949X |
This text focuses on the fundamental nature of turbulence, bridging the gap between the elementary accounts of turbulence found in undergraduate texts and the more rigorous accounts given in advanced monographs.
| Author | : Peter Davidson |
| Publisher | : Oxford University Press, USA |
| Total Pages | : 647 |
| Release | : 2015 |
| Genre | : Mathematics |
| ISBN | : 0198722591 |
This is an advanced textbook on the subject of turbulence, and is suitable for engineers, physical scientists and applied mathematicians. The aim of the book is to bridge the gap between the elementary accounts of turbulence found in undergraduate texts, and the more rigorous monographs on the subject. Throughout, the book combines the maximum of physical insight with the minimum of mathematical detail. Chapters 1 to 5 may be appropriate as background material for an advanced undergraduate or introductory postgraduate course on turbulence, while chapters 6 to 10 may be suitable as background material for an advanced postgraduate course on turbulence, or act as a reference source for professional researchers. This second edition covers a decade of advancement in the field, streamlining the original content while updating the sections where the subject has moved on. The expanded content includes large-scale dynamics, stratified & rotating turbulence, the increased power of direct numerical simulation, two-dimensional turbulence, Magnetohydrodynamics, and turbulence in the core of the Earth
