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Asymptotic Modelling In Fluid Mechanics
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Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :0306483866 Total Pages :560 pages Book Rating :4.3/5 (64 download)
Book Synopsis Asymptotic Modelling of Fluid Flow Phenomena by : Radyadour Kh. Zeytounian
Download or read book Asymptotic Modelling of Fluid Flow Phenomena written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2006-04-10 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random, because they mimic the large eddy fluctuations. The Reynolds stresses are got from stochastic averaging over a family of their solutions. Asymptotics underlies the scheme, but in a rather loose hidden way. We explain this in relation with homogenizati- localization processes (described within the §3. 4 ofChapter 3). Ofcourse the mathematical well posedness of the scheme is not known and the numerics would be formidable! Whether this attempt will inspire researchers in the field of highly complex turbulent flows is not foreseeable and we have hope that the idea will prove useful.
Book Synopsis Asymptotic Modelling of Fluid Flows by :
Download or read book Asymptotic Modelling of Fluid Flows written by and published by . This book was released on 1986 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Modelling in Fluid Mechanics by : Pierre-Antoine Bois
Download or read book Asymptotic Modelling in Fluid Mechanics written by Pierre-Antoine Bois and published by Springer. This book was released on 1995-06-20 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.
Author :Radyadour K. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :3540383867 Total Pages :358 pages Book Rating :4.5/5 (43 download)
Book Synopsis Meteorological Fluid Dynamics by : Radyadour K. Zeytounian
Download or read book Meteorological Fluid Dynamics written by Radyadour K. Zeytounian and published by Springer Science & Business Media. This book was released on 2008-10-09 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers meteorology as a part of fluid dynamics. He tries to derive the properties of atmospheric flows from a rational analysis of the Navier-Stokes equations, at the same time analyzing various types of initial and boundary problems. This approach to simulate nature by models from fluid dynamics will be of interest to both scientists and students of physics and theoretical meteorology.
Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :3642395414 Total Pages :177 pages Book Rating :4.6/5 (423 download)
Book Synopsis Five Decades of Tackling Models for Stiff Fluid Dynamics Problems by : Radyadour Kh. Zeytounian
Download or read book Five Decades of Tackling Models for Stiff Fluid Dynamics Problems written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2013-12-03 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rationality - as opposed to 'ad-hoc' - and asymptotics - to emphasize the fact that perturbative methods are at the core of the theory - are the two main concepts associated with the Rational Asymptotic Modeling (RAM) approach in fluid dynamics when the goal is to specifically provide useful models accessible to numerical simulation via high-speed computing. This approach has contributed to a fresh understanding of Newtonian fluid flow problems and has opened up new avenues for tackling real fluid flow phenomena, which are known to lead to very difficult mathematical and numerical problems irrespective of turbulence. With the present scientific autobiography the author guides the reader through his somewhat non-traditional career; first discovering fluid mechanics, and then devoting more than fifty years to intense work in the field. Using both personal and general historical contexts, this account will be of benefit to anyone interested in the early and contemporary developments of an important branch of theoretical and computational fluid mechanics.
Book Synopsis Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances by : Herbert Steinrück
Download or read book Asymptotic Methods in Fluid Mechanics: Survey and Recent Advances written by Herbert Steinrück and published by Springer Science & Business Media. This book was released on 2012-01-29 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.
Book Synopsis Asymptotic Modelling in Fluid Mechanics by : Pierre-Antoine Bois
Download or read book Asymptotic Modelling in Fluid Mechanics written by Pierre-Antoine Bois and published by Springer. This book was released on 2013-11-13 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to gather contributions from scientists in fluid mechanics who use asymptotic methods to cope with difficult problems. The selected topics are as follows: vorticity and turbulence, hydrodynamic instability, non-linear waves, aerodynamics and rarefied gas flows. The last chapter of the book broadens the perspective with an overview of other issues pertaining to asymptotics, presented in a didactic way.
Book Synopsis Challenges in Fluid Dynamics by : R.Kh. Zeytounian
Download or read book Challenges in Fluid Dynamics written by R.Kh. Zeytounian and published by Springer. This book was released on 2017-12-21 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents a synopsis of fluid dynamics based on the personal scientific experience of the author who has contributed immensely to the field. The interested reader will also benefit from the general historical context in which the material is presented in the book. The book covers a wide range of relevant topics of the field, and the main tool being rational asymptotic modelling (RAM) approach. The target audience primarily comprises experts in the field of fluid dynamics, but the book may also be beneficial for graduate students.
Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :3642207456 Total Pages :283 pages Book Rating :4.6/5 (422 download)
Book Synopsis Navier-Stokes-Fourier Equations by : Radyadour Kh. Zeytounian
Download or read book Navier-Stokes-Fourier Equations written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2012-01-26 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.
Book Synopsis Asymptotic Analysis and Boundary Layers by : Jean Cousteix
Download or read book Asymptotic Analysis and Boundary Layers written by Jean Cousteix and published by Springer Science & Business Media. This book was released on 2007-03-22 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.
Book Synopsis Asymptotic Modeling of Atmospheric Flows by : Radyadour Kh Zeytounian
Download or read book Asymptotic Modeling of Atmospheric Flows written by Radyadour Kh Zeytounian and published by Springer. This book was released on 1990-04-30 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Modeling in Fluid Mechanics by : Igor Gaissinski
Download or read book Modeling in Fluid Mechanics written by Igor Gaissinski and published by CRC Press. This book was released on 2018-06-13 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to modeling in fluid mechanics and is divided into four chapters, which contain a significant number of useful exercises with solutions. The authors provide relatively complete references on relevant topics in the bibliography at the end of each chapter.
Author :Radyadour Kh. Zeytounian Publisher :Springer Science & Business Media ISBN 13 :9048124336 Total Pages :396 pages Book Rating :4.0/5 (481 download)
Book Synopsis Convection in Fluids by : Radyadour Kh. Zeytounian
Download or read book Convection in Fluids written by Radyadour Kh. Zeytounian and published by Springer Science & Business Media. This book was released on 2009-07-21 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph, entirely devoted to “Convection in Fluids”, presents a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below) and the effect of free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered. This volume gives a rational and analytical analysis of the above mentioned physical effects on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initials (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process, and work within a numerically coherent simulation on a high speed computer.
Book Synopsis Fluid Dynamics by : Anatoly I. Ruban
Download or read book Fluid Dynamics written by Anatoly I. Ruban and published by OUP Oxford. This book was released on 2015-08-20 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume in a four-part series on fluid dynamics: Part 1. Classical Fluid Dynamics Part 2. Asymptotic Problems of Fluid Dynamics Part 3. Boundary Layers Part 4. Hydrodynamic Stability Theory The series is designed to give a comprehensive and coherent description of fluid dynamics, starting with chapters on classical theory suitable for an introductory undergraduate lecture course, and then progressing through more advanced material up to the level of modern research in the field. In Part 2 the reader is introduced to asymptotic methods, and their applications to fluid dynamics. Firstly, it discusses the mathematical aspects of the asymptotic theory. This is followed by an exposition of the results of inviscid flow theory, starting with subsonic flows past thin aerofoils. This includes unsteady flow theory and the analysis of separated flows. The authors then consider supersonic flow past a thin aerofoil, where the linear approximation leads to the Ackeret formula for the pressure. They also discuss the second order Buzemann approximation, and the flow behaviour at large distances from the aerofoil. Then the properties of transonic and hypersonic flows are examined in detail. Part 2 concludes with a discussion of viscous low-Reynolds-number flows. Two classical problems of the low-Reynolds-number flow theory are considered, the flow past a sphere and the flow past a circular cylinder. In both cases the flow analysis leads to a difficulty, known as Stokes paradox. The authors show that this paradox can be resolved using the formalism of matched asymptotic expansions.
Book Synopsis Asymptotic Treatment of Differential Equations by : A. Georgescu
Download or read book Asymptotic Treatment of Differential Equations written by A. Georgescu and published by CRC Press. This book was released on 1995-05-15 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main definitions and results of asymptotic analysis and the theory of regular and singular perturbations are summarized in this book. They are applied to the asymptotic study of several mathematical models from mechanics, fluid dynamics, statistical mechanics, meteorology and elasticity. Due to the generality of presentation this applications-oriented book is suitable for the solving of differential equations from any other field of interest.
Book Synopsis Fluid Dynamics: Asymptotic problems of fluid dynamics by : Anatoliĭ Ivanovich Ruban
Download or read book Fluid Dynamics: Asymptotic problems of fluid dynamics written by Anatoliĭ Ivanovich Ruban and published by Oxford University Press, USA. This book was released on 2015 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this second volume the reader is introduced to asymptotic methods. These are now an inherent part of applied mathematics, and are used in different branches of physics, but it was fluid dynamics where asymptotic techniques we first introduced.
Book Synopsis Kinetic Theory and Fluid Dynamics by : Yoshio Sone
Download or read book Kinetic Theory and Fluid Dynamics written by Yoshio Sone and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is intended to provide a comprehensive description of the rela tion between kinetic theory and fluid dynamics for a time-independent behavior of a gas in a general domain. A gas in a steady (or time-independent) state in a general domain is considered, and its asymptotic behavior for small Knudsen numbers is studied on the basis of kinetic theory. Fluid-dynamic-type equations and their associated boundary conditions, together with their Knudsen-layer corrections, describing the asymptotic behavior of the gas for small Knudsen numbers are presented. In addition, various interesting physical phenomena derived from the asymptotic theory are explained. The background of the asymptotic studies is explained in Chapter 1, accord ing to which the fluid-dynamic-type equations that describe the behavior of a gas in the continuum limit are to be studied carefully. Their detailed studies depending on physical situations are treated in the following chapters. What is striking is that the classical gas dynamic system is incomplete to describe the behavior of a gas in the continuum limit (or in the limit that the mean free path of the gas molecules vanishes). Thanks to the asymptotic theory, problems for a slightly rarefied gas can be treated with the same ease as the corresponding classical fluid-dynamic problems. In a rarefied gas, a temperature field is di rectly related to a gas flow, and there are various interesting phenomena which cannot be found in a gas in the continuum limit.
