Mathematical Modeling And Simulation In Hydrodynamic Stability

Author : Daniel N. Riahi
Publisher : World Scientific
Page : 208 pages
File Size : 40,8 Mb
Release : 1996
Category : Science
ISBN : 9810223080

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Mathematical Modeling and Simulation in Hydrodynamic Stability by Daniel N. Riahi Pdf

Hydrodynamic stability is of fundamental importance in the mechanics of fluids and is mainly concerned with the problem of the transition to turbulence. This book is devoted to publication of original research papers, research-expository and survey articles with an emphasis on unsolved problems and open questions in the mathematical modeling and computational aspects of hydrodynamic stability. Review chapters on the mathematical modeling and numerical simulation aspects of hydrodynamic stability, the physical background, and the limitations of the modeling and simulation procedures, due to particular mathematical or computational methods used, are included. This book will be appropriate for use in research and in research-related courses on the subject. It includes chapters on bifurcations in fluid systems, flow patterns, channel flows, non-parallel shear flows, thin-film flows, strong viscous shear flows, Gortler vortices, bifurcations in convection, wavy film flows and boundary layers.

Author : P. G. Drazin
Publisher : Cambridge University Press
Page : 128 pages
File Size : 53,8 Mb
Release : 2002-09-09
Category : Science
ISBN : 9781316582879

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Introduction to Hydrodynamic Stability by P. G. Drazin Pdf

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Author : W. O. Criminale,T. L. Jackson,R. D. Joslin
Publisher : Cambridge University Press
Page : 465 pages
File Size : 46,7 Mb
Release : 2003-10-23
Category : Mathematics
ISBN : 9780521632003

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Theory and Computation of Hydrodynamic Stability by W. O. Criminale,T. L. Jackson,R. D. Joslin Pdf

The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing chapter by chapter to the most complex, considering linear and nonlinear situations, and analysing temporal and spatial stability. The authors examine each problem both analytically and numerically: many chapters end with an appendix outlining relevant numerical techniques. All relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. As a result, the early transient period as well as the asymptotic fate for perturbations for a flow can be assessed. The text is enriched with many exercises, copious illustrations and an extensive bibliography and the result is a book that can be used with courses on hydrodynamic stability or as an authoritative reference for researchers.

Author : A. Georgescu
Publisher : Taylor & Francis
Page : 318 pages
File Size : 40,9 Mb
Release : 1985
Category : Mathematics
ISBN : 9024731208

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Hydrodynamic Stability Theory by A. Georgescu Pdf

The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.

Author : Victor Raizer
Publisher : CRC Press
Page : 310 pages
File Size : 52,5 Mb
Release : 2019-03-04
Category : Technology & Engineering
ISBN : 9781351119160

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Optical Remote Sensing of Ocean Hydrodynamics by Victor Raizer Pdf

Optical Remote Sensing is one of the main technologies used in sea surface monitoring. Optical Remote Sensing of Ocean Hydrodynamics investigates and demonstrates capabilities of optical remote sensing technology for enhanced observations and detection of ocean environments. It provides extensive knowledge of physical principles and capabilities of optical observations of the oceans at high spatial resolution, 1-4m, and on the observations of surface wave hydrodynamic processes. It also describes the implementation of spectral-statistical and fusion algorithms for analyses of multispectral optical databases and establishes physics-based criteria for detection of complex wave phenomena and hydrodynamic disturbances including assessment and management of optical databases. This book explains the physical principles of high-resolution optical imagery of the ocean surface, discusses for the first time the capabilities of observing hydrodynamic processes and events, and emphasizes the integration of optical measurements and enhanced data analysis. It also covers both the assessment and the interpretation of dynamic multispectral optical databases and includes applications for advanced studies and nonacoustic detection. This book is an invaluable resource for researches, industry professionals, engineers, and students working on cross-disciplinary problems in ocean hydrodynamics, optical remote sensing of the ocean and sea surface remote sensing. Readers in the fields of geosciences and remote sensing, applied physics, oceanography, satellite observation technology, and optical engineering will learn the theory and practice of optical interactions with the ocean.

Author : P. G. Drazin,W. H. Reid
Publisher : Cambridge University Press
Page : 630 pages
File Size : 51,7 Mb
Release : 2004-08-05
Category : Mathematics
ISBN : 0521525411

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Hydrodynamic Stability by P. G. Drazin,W. H. Reid Pdf

Hydrodynamic stability is of fundamental importance in fluid mechanics and is concerned with the problem of transition from laminar to turbulent flow. Drazin and Reid emphasise throughout the ideas involved, the physical mechanisms, the methods used, and the results obtained, and, wherever possible, relate the theory to both experimental and numerical results. A distinctive feature of the book is the large number of problems it contains. These problems not only provide exercises for students but also provide many additional results in a concise form. This new edition of this celebrated introduction differs principally by the inclusion of detailed solutions for those exercises, and by the addition of a Foreword by Professor J. W. Miles.

Author : W. O. Criminale,T. L. Jackson,R. D. Joslin
Publisher : Cambridge University Press
Page : 565 pages
File Size : 43,6 Mb
Release : 2018-12-06
Category : Mathematics
ISBN : 9781108475334

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Theory and Computation in Hydrodynamic Stability by W. O. Criminale,T. L. Jackson,R. D. Joslin Pdf

Offers modern and numerical techniques for the stability of fluid flow with illustrations, an extensive bibliography, and exercises with solutions.

Author : Wei Shyy,Ranga Narayanan
Publisher : Cambridge University Press
Page : 482 pages
File Size : 53,5 Mb
Release : 1999-09-28
Category : Science
ISBN : 0521642663

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Fluid Dynamics at Interfaces by Wei Shyy,Ranga Narayanan Pdf

In this book experts discuss research and applications in interfacial fluid dynamics.

Author : Richard E. Ewing
Publisher : SIAM
Page : 195 pages
File Size : 46,7 Mb
Release : 2014-12-01
Category : Science
ISBN : 9780898716627

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The Mathematics of Reservoir Simulation by Richard E. Ewing Pdf

This book describes the state of the art of the mathematical theory and numerical analysis of imaging. Some of the applications covered in the book include computerized tomography, magnetic resonance imaging, emission tomography, electron microscopy, ultrasound transmission tomography, industrial tomography, seismic tomography, impedance tomography, and NIR imaging.

Author : Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani
Publisher : Springer Science & Business Media
Page : 437 pages
File Size : 55,7 Mb
Release : 2010-08-12
Category : Mathematics
ISBN : 9780817649463

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Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences by Giovanni Naldi,Lorenzo Pareschi,Giuseppe Toscani Pdf

Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Author : Anonim
Publisher : Unknown
Page : 776 pages
File Size : 50,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015069723800

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Mathematical Reviews by Anonim Pdf

Author : Jean-Michel Hervouet
Publisher : John Wiley & Sons
Page : 360 pages
File Size : 52,5 Mb
Release : 2007-06-13
Category : Computers
ISBN : 0470319631

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Hydrodynamics of Free Surface Flows by Jean-Michel Hervouet Pdf

A definitive guide for accurate state-of-the-art modelling of free surface flows Understanding the dynamics of free surface flows is the starting point of many environmental studies, impact studies, and waterworks design. Typical applications, once the flows are known, are water quality, dam impact and safety, pollutant control, and sediment transport. These studies used to be done in the past with scale models, but these are now being replaced by numerical simulation performed by software suites called “hydro-informatic systems”. The Telemac system is the leading software package worldwide, and has been developed by Electricité de France and Jean-Michel Hervouet, who is the head and main developer of the Telemac project. Written by a leading authority on Computational Fluid Dynamics, the book aims to provide environmentalists, hydrologists, and engineers using hydro-informatic systems such as Telemac and the finite element method, with the knowledge of the basic principles, capabilities, different hypotheses, and limitations. In particular this book: presents the theory for understanding hydrodynamics through an extensive array of case studies such as tides, tsunamis, storm surges, floods, bores, dam break flood waves, density driven currents, hydraulic jumps, making this a principal reference on the topic gives a detailed examination and analysis of the notorious Malpasset dam failure includes a coherent description of finite elements in shallow water delivers a significant treatment of the state-of-the-art flow modelling techniques using Telemac, developed by Electricité de France provides the fundamental physics and theory of free surface flows to be utilised by courses on environmental flows Hydrodynamics of Free Surface Flows is essential reading for those involved in computational fluid dynamics and environmental impact assessments, as well as hydrologists, and bridge, coastal and dam engineers. Guiding readers from fundamental theory to the more advanced topics in the application of the finite element method and the Telemac System, this book is a key reference for a broad audience of students, lecturers, researchers and consultants, right through to the community of users of hydro-informatics systems.

Author : W.Y. Tan
Publisher : Elsevier
Page : 433 pages
File Size : 52,5 Mb
Release : 1992-08-17
Category : Science
ISBN : 0080870937

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Shallow Water Hydrodynamics by W.Y. Tan Pdf

Within this monograph a comprehensive and systematic knowledge on shallow-water hydrodynamics is presented. A two-dimensional system of shallow-water equations is analyzed, including the mathematical and mechanical backgrounds, the properties of the system and its solution. Also featured is a new mathematical simulation of shallow-water flows by compressible plane flows of a special virtual perfect gas, as well as practical algorithms such as FDM, FEM, and FVM. Some of these algorithms have been utilized in solving the system, while others have been utilized in various applied fields. An emphasis has been placed on several classes of high-performance difference schemes and boundary procedures which have found wide uses recently for solving the Euler equations of gas dynamics in aeronautical and aerospatial engineering. This book is constructed so that it may serve as a handbook for practicians. It will be of interest to scientists, designers, teachers, postgraduates and professionals in hydraulic, marine, and environmental engineering; especially those involved in the mathematical modelling of shallow-water bodies.

Author : Gedeon Dagan,Ulrich Hornung,Peter Knabner
Publisher : Springer Science & Business Media
Page : 312 pages
File Size : 55,7 Mb
Release : 1991
Category : Mathematics
ISBN : 0792316169

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Mathematical Modeling for Flow and Transport Through Porous Media by Gedeon Dagan,Ulrich Hornung,Peter Knabner Pdf

This book contains a selection of articles presented at an International Workshop on `Mathematical Modeling for Flow and Transport Through Porous Media'. The major topics of the meeting were free and moving boundary problems, structured media, multiphase flow, scale problems, stochastic aspects, parameter identification and optimization problems. The volume also represents a few contributions on the incorporation of chemical and biological processes in mathematical models for transport in porous media. The book is directed at researchers active in porous media, mathematical modeling, petroleum and geotechnical engineering and environmental sciences.

Author : G. Chavent,J. Jaffré
Publisher : Elsevier
Page : 375 pages
File Size : 50,8 Mb
Release : 1986-01-01
Category : Technology & Engineering
ISBN : 0080875386

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Mathematical Models and Finite Elements for Reservoir Simulation by G. Chavent,J. Jaffré Pdf

Numerical simulators for oil reservoirs have been developed over the last twenty years and are now widely used by oil companies. The research, however, has taken place largely within the industry itself, and has remained somewhat inaccessible to the scientific community. This book hopes to remedy the situation by means of its synthesized presentation of the models used in reservoir simulation, in a form understandable to both mathematicians and engineers. The book aims to initiate a rigorous mathematical study of the immiscible flow models, partly by using the novel `global pressure' approach in treating incompressible two-phase problems. A finite element approximation technique based on the global pressure variational model is presented, and new approaches to the modelling of various kinds of multiphase flow through porous media are introduced. Much of the material is highly original, and has not been presented elsewhere. The mathematical and numerical models should be of great interest to applied mathematicians, and to engineers seeking an alternative approach to reservoir modelling.