Analysis And Application Of Decaying Turbulence With Initial Fractal Geometry

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Fractal Analysis

Author : Fernando Brambila
Publisher : BoD – Books on Demand
ISBN 13 : 9535131915
Total Pages : 296 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Fractal Analysis by : Fernando Brambila

Download or read book Fractal Analysis written by Fernando Brambila and published by BoD – Books on Demand. This book was released on 2017-06-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal analysis has entered a new era. The applications to different areas of knowledge have been surprising. Let us begin with the fractional calculus-fractal geometry relationship, which allows for modeling with extreme precision of phenomena such as diffusion in porous media with fractional partial differential equations in fractal objects. Where the order of the equation is the same as the fractal dimension, this allows us to make calculations with enormous precision in diffusion phenomena-particularly in the oil industry, for new spillage prevention. Main applications to industry, design of fractal antennas to receive all frequencies and that is used in all cell phones, spacecraft, radars, image processing, measure, porosity, turbulence, scattering theory. Benoit Mandelbrot, creator of fractal geometry, would have been surprised by the use of fractal analysis presented in this book: "Part I: Petroleum Industry and Numerical Analysis"; "Part II: Fractal Antennas, Spacecraft, Radars, Image Processing, and Measure"; and "Part III: Scattering Theory, Porosity, and Turbulence." It's impossible to picture today's research without fractal analysis.

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot

Author : Michel Laurent Lapidus
Publisher : American Mathematical Soc.
ISBN 13 : 0821836382
Total Pages : 592 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot by : Michel Laurent Lapidus

Download or read book Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot written by Michel Laurent Lapidus and published by American Mathematical Soc.. This book was released on 2004 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.

Chaos And Fractals In Chemical Engineering - Proceedings Of The First National Conference

Author : Giuseppe Biardi
Publisher : World Scientific
ISBN 13 : 981455037X
Total Pages : 328 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Chaos And Fractals In Chemical Engineering - Proceedings Of The First National Conference by : Giuseppe Biardi

Download or read book Chaos And Fractals In Chemical Engineering - Proceedings Of The First National Conference written by Giuseppe Biardi and published by World Scientific. This book was released on 1995-01-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference focused on the current research and future perspectives on the application of disordered systems theory, fractals and chaotic dynamical systems to chemical engineering problems. The contributions published here are organised around 4 main themes: Chaos (Analysis and Control) in Reactors and Reacting Systems; Transport in Disordered Media; Time-Series Analysis; and Multiphase Flow Characterization.

Mathematics of Large Eddy Simulation of Turbulent Flows

Author : Luigi Carlo Berselli
Publisher : Springer Science & Business Media
ISBN 13 : 9783540263166
Total Pages : 378 pages
Book Rating : 4.2/5 (631 download)

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Book Synopsis Mathematics of Large Eddy Simulation of Turbulent Flows by : Luigi Carlo Berselli

Download or read book Mathematics of Large Eddy Simulation of Turbulent Flows written by Luigi Carlo Berselli and published by Springer Science & Business Media. This book was released on 2006 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: The LES-method is rapidly developing in many practical applications in engineering The mathematical background is presented here for the first time in book form by one of the leaders in the field

Wavelet Transforms and Their Applications

Author : Lokenath Debnath
Publisher : Springer Science & Business Media
ISBN 13 : 9780817642044
Total Pages : 586 pages
Book Rating : 4.6/5 (42 download)

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Book Synopsis Wavelet Transforms and Their Applications by : Lokenath Debnath

Download or read book Wavelet Transforms and Their Applications written by Lokenath Debnath and published by Springer Science & Business Media. This book was released on 2002 with total page 586 pages. Available in PDF, EPUB and Kindle. Book excerpt: Overview Historically, the concept of "ondelettes" or "wavelets" originated from the study of time-frequency signal analysis, wave propagation, and sampling theory. One of the main reasons for the discovery of wavelets and wavelet transforms is that the Fourier transform analysis does not contain the local information of signals. So the Fourier transform cannot be used for analyzing signals in a joint time and frequency domain. In 1982, Jean MorIet, in collaboration with a group of French engineers, first introduced the idea of wavelets as a family of functions constructed by using translation and dilation of a single function, called the mother wavelet, for the analysis of nonstationary signals. However, this new concept can be viewed as the synthesis of various ideas originating from different disciplines including mathematics (Calder6n-Zygmund operators and Littlewood-Paley theory), physics (coherent states in quantum mechanics and the renormalization group), and engineering (quadratic mirror filters, sideband coding in signal processing, and pyramidal algorithms in image processing). Wavelet analysis is an exciting new method for solving difficult problems in mathematics, physics, and engineering, with modern applications as diverse as wave propagation, data compression, image processing, pattern recognition, computer graphics, the detection of aircraft and submarines, and improvement in CAT scans and other medical image technology. Wavelets allow complex information such as music, speech, images, and patterns to be decomposed into elementary forms, called the fundamental building blocks, at different positions and scales and subsequently reconstructed with high precision.

Fractal Geometry and Applications

Author :
Publisher :
ISBN 13 :
Total Pages : 600 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fractal Geometry and Applications by :

Download or read book Fractal Geometry and Applications written by and published by . This book was released on 2004 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scale Invariance

Author : Annick LESNE
Publisher : Springer Science & Business Media
ISBN 13 : 364215123X
Total Pages : 406 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Scale Invariance by : Annick LESNE

Download or read book Scale Invariance written by Annick LESNE and published by Springer Science & Business Media. This book was released on 2011-11-04 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: During a century, from the Van der Waals mean field description (1874) of gases to the introduction of renormalization group (RG techniques 1970), thermodynamics and statistical physics were just unable to account for the incredible universality which was observed in numerous critical phenomena. The great success of RG techniques is not only to solve perfectly this challenge of critical behaviour in thermal transitions but to introduce extremely useful tools in a wide field of daily situations where a system exhibits scale invariance. The introduction of scaling, scale invariance and universality concepts has been a significant turn in modern physics and more generally in natural sciences. Since then, a new "physics of scaling laws and critical exponents", rooted in scaling approaches, allows quantitative descriptions of numerous phenomena, ranging from phase transitions to earthquakes, polymer conformations, heartbeat rhythm, diffusion, interface growth and roughening, DNA sequence, dynamical systems, chaos and turbulence. The chapters are jointly written by an experimentalist and a theorist. This book aims at a pedagogical overview, offering to the students and researchers a thorough conceptual background and a simple account of a wide range of applications. It presents a complete tour of both the formal advances and experimental results associated with the notion of scaling, in physics, chemistry and biology.

Fractal Flow Design: How to Design Bespoke Turbulence and Why

Author : Yasuhiko Sakai
Publisher : Springer
ISBN 13 : 3319333100
Total Pages : 182 pages
Book Rating : 4.3/5 (193 download)

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Book Synopsis Fractal Flow Design: How to Design Bespoke Turbulence and Why by : Yasuhiko Sakai

Download or read book Fractal Flow Design: How to Design Bespoke Turbulence and Why written by Yasuhiko Sakai and published by Springer. This book was released on 2016-06-21 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on turbulent flows generated and/or influenced by multiscale/fractal structures. It consists of six chapters which demonstrate, each one in its own way, how such structures and objects can be used to design bespoke turbulence for particular applications and also how they can be used for fundamental studies of turbulent flows.

Advances and Challenges in Space-time Modelling of Natural Events

Author : Emilio Porcu
Publisher : Springer Science & Business Media
ISBN 13 : 3642170862
Total Pages : 263 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Advances and Challenges in Space-time Modelling of Natural Events by : Emilio Porcu

Download or read book Advances and Challenges in Space-time Modelling of Natural Events written by Emilio Porcu and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arises as the natural continuation of the International Spring School "Advances and Challenges in Space-Time modelling of Natural Events," which took place in Toledo (Spain) in March 2010. This Spring School above all focused on young researchers (Master students, PhD students and post-doctoral researchers) in academics, extra-university research and the industry who are interested in learning about recent developments, new methods and applications in spatial statistics and related areas, and in exchanging ideas and findings with colleagues.

Dynamics of Non-Spherical Particles in Turbulence

Author : Luis Blay Esteban
Publisher : Springer
ISBN 13 : 3030281361
Total Pages : 180 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Dynamics of Non-Spherical Particles in Turbulence by : Luis Blay Esteban

Download or read book Dynamics of Non-Spherical Particles in Turbulence written by Luis Blay Esteban and published by Springer. This book was released on 2019-08-13 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book studies the dynamics of 2D objects moving through turbulent fluids. It examines the decay of turbulence over extended time scales, and compares the dynamics of non-spherical particles moving through still and turbulent fluids. The book begins with an introduction to the project, its aims, and its relevance for industrial applications. It then discusses the movement of planar particles in quiescent fluid, and presents the numerous methodologies used to measure it. The book also presents a detailed analysis of the falling style of irregular particles, which makes it possible to estimate particle trajectory and wake morphology based on frontal geometry. In turn, the book provides the results of an analysis of physically constrained decaying turbulence in a laboratory setting. These results suggest that large-scale cut-off in numerical simulations can result in severe bias in the computed turbulent kinetic energy for long waiting times. Combining the main text with a wealth of figures and sketches throughout, the book offers an accessible guide for all engineering students with a basic grasp of fluid mechanics, while the key findings will also be of interest to senior researchers.

Fractals and Scaling in Finance

Author : Benoit B. Mandelbrot
Publisher : Springer Science & Business Media
ISBN 13 : 1475727631
Total Pages : 558 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Fractals and Scaling in Finance by : Benoit B. Mandelbrot

Download or read book Fractals and Scaling in Finance written by Benoit B. Mandelbrot and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 558 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mandelbrot is world famous for his creation of the new mathematics of fractal geometry. Yet few people know that his original field of applied research was in econometrics and financial models, applying ideas of scaling and self-similarity to arrays of data generated by financial analyses. This book brings together his original papers as well as many original chapters specifically written for this book.

Thinking in Patterns

Author : Miroslav Michal Novak
Publisher : World Scientific
ISBN 13 : 9812388222
Total Pages : 336 pages
Book Rating : 4.8/5 (123 download)

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Book Synopsis Thinking in Patterns by : Miroslav Michal Novak

Download or read book Thinking in Patterns written by Miroslav Michal Novak and published by World Scientific. This book was released on 2004 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors.This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics ? from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry.The proceedings have been selected for coverage in: ? Index to Scientific & Technical Proceedings? (ISTP? / ISI Proceedings)? Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings)? CC Proceedings ? Engineering & Physical Sciences

Navier-Stokes Turbulence

Author : Wolfgang Kollmann
Publisher : Springer Nature
ISBN 13 : 3030318699
Total Pages : 744 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis Navier-Stokes Turbulence by : Wolfgang Kollmann

Download or read book Navier-Stokes Turbulence written by Wolfgang Kollmann and published by Springer Nature. This book was released on 2019-11-21 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book serves as a core text for graduate courses in advanced fluid mechanics and applied science. It consists of two parts. The first provides an introduction and general theory of fully developed turbulence, where treatment of turbulence is based on the linear functional equation derived by E. Hopf governing the characteristic functional that determines the statistical properties of a turbulent flow. In this section, Professor Kollmann explains how the theory is built on divergence free Schauder bases for the phase space of the turbulent flow and the space of argument vector fields for the characteristic functional. Subsequent chapters are devoted to mapping methods, homogeneous turbulence based upon the hypotheses of Kolmogorov and Onsager, intermittency, structural features of turbulent shear flows and their recognition.

New Approaches and Concepts in Turbulence

Author : T. Dracos
Publisher : Springer Science & Business Media
ISBN 13 : 9783764329242
Total Pages : 450 pages
Book Rating : 4.3/5 (292 download)

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Book Synopsis New Approaches and Concepts in Turbulence by : T. Dracos

Download or read book New Approaches and Concepts in Turbulence written by T. Dracos and published by Springer Science & Business Media. This book was released on 1993-09-01 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the proceedings of a colloquium held in Monte Verità from September 9-13, 1991. Special care has been taken to devote adequate space to the scientific discussions, which claimed about half of the time available. Scientists from all over the world presented their views on the importance of kinematic properties, topology and fractal geometry, and on the dynamic behaviour of turbulent flows. They debated the importance of coherent structures and the possibility to incorporate these in the statistical theory of turbulence, as well as their significance for the reduction of the degrees of freedom and the prospective of dynamical systems and chaos approaches to the problem of turbulence. Also under discussion was the relevance of these new approaches to the study of the instability and the origin of turbulence, and the importance of numerical and physical experiments in improving the understanding of turbulence.

Lectures on Fractal Geometry and Dynamical Systems

Author : Ya. B. Pesin
Publisher : American Mathematical Soc.
ISBN 13 : 0821848895
Total Pages : 334 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Lectures on Fractal Geometry and Dynamical Systems by : Ya. B. Pesin

Download or read book Lectures on Fractal Geometry and Dynamical Systems written by Ya. B. Pesin and published by American Mathematical Soc.. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both fractal geometry and dynamical systems have a long history of development and have provided fertile ground for many great mathematicians and much deep and important mathematics. These two areas interact with each other and with the theory of chaos in a fundamental way: many dynamical systems (even some very simple ones) produce fractal sets, which are in turn a source of irregular 'chaotic' motions in the system. This book is an introduction to these two fields, with an emphasis on the relationship between them. The first half of the book introduces some of the key ideas in fractal geometry and dimension theory - Cantor sets, Hausdorff dimension, box dimension - using dynamical notions whenever possible, particularly one-dimensional Markov maps and symbolic dynamics. Various techniques for computing Hausdorff dimension are shown, leading to a discussion of Bernoulli and Markov measures and of the relationship between dimension, entropy, and Lyapunov exponents. In the second half of the book some examples of dynamical systems are considered and various phenomena of chaotic behaviour are discussed, including bifurcations, hyperbolicity, attractors, horseshoes, and intermittent and persistent chaos. These phenomena are naturally revealed in the course of our study of two real models from science - the FitzHugh - Nagumo model and the Lorenz system of differential equations. This book is accessible to undergraduate students and requires only standard knowledge in calculus, linear algebra, and differential equations. Elements of point set topology and measure theory are introduced as needed. This book is a result of the MASS course in analysis at Penn State University in the fall semester of 2008.

Turbulence

Author : Uriel Frisch
Publisher : Cambridge University Press
ISBN 13 : 1139935976
Total Pages : 318 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Turbulence by : Uriel Frisch

Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.

Instabilities, Chaos and Turbulence

Author : Paul Manneville
Publisher : World Scientific
ISBN 13 : 9781860944833
Total Pages : 416 pages
Book Rating : 4.9/5 (448 download)

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Book Synopsis Instabilities, Chaos and Turbulence by : Paul Manneville

Download or read book Instabilities, Chaos and Turbulence written by Paul Manneville and published by World Scientific. This book was released on 2004 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the application of nonlinear dynamics to problems of stability, chaos and turbulence arising in continuous media and their connection to dynamical systems. With an emphasis on the understanding of basic concepts, it should be of interest to nearly any science-oriented undergraduate and potentially to anyone who wants to learn about recent advances in the field of applied nonlinear dynamics. Technicalities are, however, not completely avoided. They are instead explained as simply as possible using heuristic arguments and specific worked examples.