Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics PDF Download

Author: Alexander Gelfgat
Publisher: Springer
ISBN: 3319914944
Category : Technology & Engineering
Languages : en
Pages : 524

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Book Description
Instabilities of fluid flows and the associated transitions between different possible flow states provide a fascinating set of problems that have attracted researchers for over a hundred years. This book addresses state-of-the-art developments in numerical techniques for computational modelling of fluid instabilities and related bifurcation structures, as well as providing comprehensive reviews of recently solved challenging problems in the field.

Author: Henk A. Dijkstra
Publisher: Cambridge University Press
ISBN: 1108852521
Category : Science
Languages : en
Pages : 343

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Book Description
A better understanding of the mechanisms leading a fluid system to exhibit turbulent behavior is one of the grand challenges of the physical and mathematical sciences. Over the last few decades, numerical bifurcation methods have been extended and applied to a number of flow problems to identify critical conditions for fluid instabilities to occur. This book provides a state-of-the-art account of these numerical methods, with much attention to modern linear systems solvers and generalized eigenvalue solvers. These methods also have a broad applicability in industrial, environmental and astrophysical flows. The book is a must-have reference for anyone working in scientific fields where fluid flow instabilities play a role. Exercises at the end of each chapter and Python code for the bifurcation analysis of canonical fluid flow problems provide practice material to get to grips with the methods and concepts presented in the book.

Author: Hannes Uecker
Publisher: SIAM
ISBN: 1611976618
Category : Mathematics
Languages : en
Pages : 380

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Book Description
This book provides a hands-on approach to numerical continuation and bifurcation for nonlinear PDEs in 1D, 2D, and 3D. Partial differential equations (PDEs) are the main tool to describe spatially and temporally extended systems in nature. PDEs usually come with parameters, and the study of the parameter dependence of their solutions is an important task. Letting one parameter vary typically yields a branch of solutions, and at special parameter values, new branches may bifurcate. After a concise review of some analytical background and numerical methods, the author explains the free MATLAB package pde2path by using a large variety of examples with demo codes that can be easily adapted to the reader's given problem. Numerical Continuation and Bifurcation in Nonlinear PDEs will appeal to applied mathematicians and scientists from physics, chemistry, biology, and economics interested in the numerical solution of nonlinear PDEs, particularly the parameter dependence of solutions. It can be used as a supplemental text in courses on nonlinear PDEs and modeling and bifurcation.

Author: Paul Manneville
Publisher: World Scientific
ISBN: 9781860944833
Category : Science
Languages : en
Pages : 416

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Book Description
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.

Author: Igor Gaissinski
Publisher: CRC Press
ISBN: 1351029045
Category : Mathematics
Languages : en
Pages : 658

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Book Description
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: H. Aref
Publisher: Cambridge University Press
ISBN: 1107178517
Category : Science
Languages : en
Pages : 405

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Book Description
This book provides a broad coverage of computational fluid dynamics that will interest engineers, astrophysicists, mathematicians, oceanographers and ecologists.

Author: James Donald Paduano
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 242

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Book Description

Author: Francis C. Moon
Publisher: Springer Science & Business Media
ISBN: 9401153205
Category : Technology & Engineering
Languages : en
Pages : 559

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Book Description
This book presents the latest research results in the area of applied nonlinear dynamics and chaos theory. Papers by three academic generations address new applications of nonlinear dynamics to mechanics, including fluid-structure interaction, machining and mechanics of solids, and many other applications.

Author: Gianni Pedrizzetti
Publisher: Springer
ISBN: 3709125421
Category : Technology & Engineering
Languages : en
Pages : 277

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Book Description
The book presents the state of the art in the interdisciplinary field of fluid mechanics applied to cardiovascular modelling. It is neither a monograph nor a collection of research papers, rather an extended review in the field. It is arranged in 4 scientific chapters each presenting thoroughly the approach of a leading research team; two additional chapters prepared by biomedical scientists present the topic by the applied perspective. A unique feature is a substantial (approx. one fourth of the book) medical introductory part, written by clinical researchers for scientific readers, that would require a large effort to be collected otherwise.

Author: Richard Wan
Publisher: Springer Science & Business Media
ISBN: 3642182844
Category : Science
Languages : en
Pages : 366

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Book Description
Geomaterials exhibit complex but rich mechanical behaviour with a variety of failure modes ranging from diffuse to localized deformation depending on stress, density, microstructure, and loading conditions. These failure modes are a result of an instability of material and/or geometric nature that can be studied within the framework of bifurcation theory. Degradation is another related phenomenon arising from cyclic loading, ageing, weathering, chemical attack, and capillary effects, among others. The methodology of analyzing the various types of instabilities is crucial in the adequate modelling and safe design of numerous problems in geomechanics. The present volume contains a sampling of enlarged versions of papers presented at the International Workshop on Bifurcation and Degradations in Geomaterials (IWBDG 2008) held in Lake Louise, Alberta, Canada, May 28-31, 2008. These papers capture the state-of-the-art in the specialized field of geomechanics and contemporary approaches to solving the central issue of failure. Some engineering applications are presented in the areas of energy resource extraction and soil-machine interaction.