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Author : John W. Goodrich
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (317 download)
Download or read book Hopf Bifurcation in the Driven Cavity written by John W. Goodrich and published by . This book was released on 1989 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John W. Goodrich
Publisher :
ISBN 13 :
Total Pages : 56 pages
Book Rating : 4.:/5 (31 download)
Download or read book Hopf Bifurcation in the Driven Cavity written by John W. Goodrich and published by . This book was released on 1989 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Gelfgat
Publisher : Springer
ISBN 13 : 3319914944
Total Pages : 524 pages
Book Rating : 4.3/5 (199 download)
Download or read book Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics written by Alexander Gelfgat and published by Springer. This book was released on 2018-07-06 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 13 : 1108495818
Total Pages : 343 pages
Book Rating : 4.1/5 (84 download)
Download or read book Bifurcation Analysis of Fluid Flows written by Henk A. Dijkstra and published by Cambridge University Press. This book was released on 2023-08-31 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.
Author : J. E. Marsden
Publisher : Springer Science & Business Media
ISBN 13 : 1461263743
Total Pages : 420 pages
Book Rating : 4.4/5 (612 download)
Download or read book The Hopf Bifurcation and Its Applications written by J. E. Marsden and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of these notes is to give a reasonahly com plete, although not exhaustive, discussion of what is commonly referred to as the Hopf bifurcation with applications to spe cific problems, including stability calculations. Historical ly, the subject had its origins in the works of Poincare [1] around 1892 and was extensively discussed by Andronov and Witt [1] and their co-workers starting around 1930. Hopf's basic paper [1] appeared in 1942. Although the term "Poincare Andronov-Hopf bifurcation" is more accurate (sometimes Friedrichs is also included), the name "Hopf Bifurcation" seems more common, so we have used it. Hopf's crucial contribution was the extension from two dimensions to higher dimensions. The principal technique employed in the body of the text is that of invariant manifolds. The method of Ruelle Takens [1] is followed, with details, examples and proofs added. Several parts of the exposition in the main text come from papers of P. Chernoff, J. Dorroh, O. Lanford and F. Weissler to whom we are grateful. The general method of invariant manifolds is common in dynamical systems and in ordinary differential equations: see for example, Hale [1,2] and Hartman [1]. Of course, other methods are also available. In an attempt to keep the picture balanced, we have included samples of alternative approaches. Specifically, we have included a translation (by L. Howard and N. Kopell) of Hopf's original (and generally unavailable) paper.
Author : Jorge L. Moiola
Publisher : World Scientific
ISBN 13 : 9789810226282
Total Pages : 354 pages
Book Rating : 4.2/5 (262 download)
Download or read book Hopf Bifurcation Analysis written by Jorge L. Moiola and published by World Scientific. This book was released on 1996 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the frequency domain approach, for both regular and degenerate Hopf bifurcation analyses. Besides showing that the time and frequency domain approaches are in fact equivalent, the fact that many significant results and computational formulas obtained in the studies of regular and degenerate Hopf bifurcations from the time domain approach can be translated and reformulated into the corresponding frequency domain setting, and be reconfirmed and rediscovered by using the frequency domain methods, is also explained. The description of how the frequency domain approach can be used to obtain several types of standard bifurcation conditions for general nonlinear dynamical systems is given as well as is demonstrated a very rich pictorial gallery of local bifurcation diagrams for nonlinear systems under simultaneous variations of several system parameters. In conjunction with this graphical analysis of local bifurcation diagrams, the defining and nondegeneracy conditions for several degenerate Hopf bifurcations is presented. With a great deal of algebraic computation, some higher-order harmonic balance approximation formulas are derived, for analyzing the dynamical behavior in small neighborhoods of certain types of degenerate Hopf bifurcations that involve multiple limit cycles and multiple limit points of periodic solutions. In addition, applications in chemical, mechanical and electrical engineering as well as in biology are discussed. This book is designed and written in a style of research monographs rather than classroom textbooks, so that the most recent contributions to the field can be included with references.
Author : Karl Gustafson
Publisher : World Scientific
ISBN 13 : 9814497134
Total Pages : 180 pages
Book Rating : 4.8/5 (144 download)
Download or read book Lectures On Computational Fluid Dynamics, Mathematical Physics And Linear Algebra written by Karl Gustafson and published by World Scientific. This book was released on 1997-12-18 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, an outgrowth of the author's distinguished lecture series in Japan in 1995, identifies and describes current results and issues in certain areas of computational fluid dynamics, mathematical physics, and linear algebra. Notable among these are the author's new notion of numerical rotational release for the understanding of correct solution capture when modelling time-dependent higher Reynolds number incompressible flows, the author's fundamental new perspective of wavelets seen as stochastic processes, and the author's new theory of antieigenvalues which has created an entirely new view of iterative methods in computational linear algebra.
Author :
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (317 download)
Download or read book Multigrid Approach to Incompressible Viscous Cavity Flows written by and published by . This book was released on 1996 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : B. D. Hassard
Publisher : CUP Archive
ISBN 13 : 9780521231589
Total Pages : 324 pages
Book Rating : 4.2/5 (315 download)
Download or read book Theory and Applications of Hopf Bifurcation written by B. D. Hassard and published by CUP Archive. This book was released on 1981-02-27 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text will be of value to all those interested in and studying the subject in the mathematical, natural and engineering sciences.
Author : Pierre Saramito
Publisher : Springer
ISBN 13 : 3319443623
Total Pages : 287 pages
Book Rating : 4.3/5 (194 download)
Download or read book Complex fluids written by Pierre Saramito and published by Springer. This book was released on 2016-10-26 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a comprehensive overview of the modeling of complex fluids, including many common substances, such as toothpaste, hair gel, mayonnaise, liquid foam, cement and blood, which cannot be described by Navier-Stokes equations. It also offers an up-to-date mathematical and numerical analysis of the corresponding equations, as well as several practical numerical algorithms and software solutions for the approximation of the solutions. It discusses industrial (molten plastics, forming process), geophysical (mud flows, volcanic lava, glaciers and snow avalanches), and biological (blood flows, tissues) modeling applications. This book is a valuable resource for undergraduate students and researchers in applied mathematics, mechanical engineering and physics.
Author : Mohamed M Hafez
Publisher : World Scientific
ISBN 13 : 9814486396
Total Pages : 708 pages
Book Rating : 4.8/5 (144 download)
Download or read book Numerical Simulations Of Incompressible Flows written by Mohamed M Hafez and published by World Scientific. This book was released on 2003-01-23 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of 37 articles dealing with simulation of incompressible flows and applications in many areas. It covers numerical methods and algorithm developments as well as applications in aeronautics and other areas. It represents the state of the art in the field.
Author : J. Szabados
Publisher : North Holland
ISBN 13 :
Total Pages : 808 pages
Book Rating : 4.3/5 (91 download)
Download or read book Approximation Theory written by J. Szabados and published by North Holland. This book was released on 1991 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vincenzo Capasso
Publisher : Springer Science & Business Media
ISBN 13 : 3540271678
Total Pages : 301 pages
Book Rating : 4.5/5 (42 download)
Download or read book Multidisciplinary Methods for Analysis, Optimization and Control of Complex Systems written by Vincenzo Capasso and published by Springer Science & Business Media. This book was released on 2006-01-05 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of lecture notes of a summer school named after the late Jacques Louis Lions. The summer school was designed to alert both Academia and Industry to the increasing role of multidisciplinary methods and tools for the design of complex products in various areas of socio-economic interest. This volume offers the reader a rare opportunity of being exposed to the presentation of real industrial and societal problems together with the relevant innovative methods used.
Author : Mohamed M Hafez
Publisher : World Scientific
ISBN 13 : 9814495778
Total Pages : 1169 pages
Book Rating : 4.8/5 (144 download)
Download or read book Computational Fluid Dynamics Review 1998 (In 2 Volumes) written by Mohamed M Hafez and published by World Scientific. This book was released on 1998-11-20 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first volume of CFD Review was published in 1995. The purpose of this new publication is to present comprehensive surveys and review articles which provide up-to-date information about recent progress in computational fluid dynamics, on a regular basis. Because of the multidisciplinary nature of CFD, it is difficult to cope with all the important developments in related areas. There are at least ten regular international conferences dealing with different aspects of CFD.It is a real challenge to keep up with all these activities and to be aware of essential and fundamental contributions in these areas. It is hoped that CFD Review will help in this regard by covering the state-of-the-art in this field.The present book contains sixty-two articles written by authors from the US, Europe, Japan and China, covering the main aspects of CFD. There are five sections: general topics, numerical methods, flow physics, interdisciplinary applications, parallel computation and flow visualization. The section on numerical methods includes grids, schemes and solvers, while that on flow physics includes incompressible and compressible flows, hypersonics and gas kinetics as well as transition and turbulence. This book should be useful to all researchers in this fast-developing field.
Author : P. G. Drazin
Publisher : Cambridge University Press
ISBN 13 : 1316582876
Total Pages : 278 pages
Book Rating : 4.3/5 (165 download)
Download or read book Introduction to Hydrodynamic Stability written by P. G. Drazin and published by Cambridge University Press. This book was released on 2002-09-09 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Shripad Revankar
Publisher : Springer Nature
ISBN 13 : 9811578311
Total Pages : 676 pages
Book Rating : 4.8/5 (115 download)
Download or read book Proceedings of International Conference on Thermofluids written by Shripad Revankar and published by Springer Nature. This book was released on 2020-11-21 with total page 676 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents selected and peer-reviewed proceedings of the International Conference on Thermofluids (KIIT Thermo 2020). It focuses on the latest studies and findings in the areas of fluid dynamics, heat transfer, thermodynamics, and combustion. Some of the topics covered in the book include electronic cooling, HVAC system analysis, inverse heat transfer, combustion, nano-fluids, multiphase flow, high-speed flow, and shock waves. The book includes both experimental and numerical studies along with a few review chapters from experienced researchers, and is expected to lead to new research in this important area. This book is of interest to students, researchers as well as practitioners working in the areas of fluid dynamics, thermodynamics, and combustion.
Author : Henk A. Dijkstra
Publisher : Cambridge University Press
ISBN 13 : 1108852521
Total Pages : 343 pages
Book Rating : 4.1/5 (88 download)
Download or read book Bifurcation Analysis of Fluid Flows written by Henk A. Dijkstra and published by Cambridge University Press. This book was released on 2023-06-30 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
