Bifurcation Analysis Of Fluid Flows
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Author | : Henk A. Dijkstra |
Publisher | : Cambridge University Press |
Total Pages | : 343 |
Release | : 2023-06-30 |
Genre | : Science |
ISBN | : 1108852521 |
Download Bifurcation Analysis of Fluid Flows Book in PDF, Epub and Kindle
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 | : P. G. Bakker |
Publisher | : Springer Science & Business Media |
Total Pages | : 230 |
Release | : 1991-10-31 |
Genre | : Science |
ISBN | : 9780792314288 |
Download Bifurcations in Flow Patterns Book in PDF, Epub and Kindle
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Author | : Henk A. Dijkstra |
Publisher | : Cambridge University Press |
Total Pages | : 343 |
Release | : 2023-08-31 |
Genre | : Science |
ISBN | : 1108495818 |
Download Bifurcation Analysis of Fluid Flows Book in PDF, Epub and Kindle
A guide to computing bifurcation diagrams for fluid flows, including relevant code, with broad applicability to industrial, environmental, astrophysical flows.
Author | : P.G. Bakker |
Publisher | : Springer Science & Business Media |
Total Pages | : 221 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 9401135126 |
Download Bifurcations in Flow Patterns Book in PDF, Epub and Kindle
The main idea of the present study is to demonstrate that the qualitative theory of diffe rential equations, when applied to problems in fluid-and gasdynamics, will contribute to the understanding of qualitative aspects of fluid flows, in particular those concerned with geometrical properties of flow fields such as shape and stability of its streamline patterns. It is obvious that insight into the qualitative structure of flow fields is of great importance and appears as an ultimate aim of flow research. Qualitative insight fashions our know ledge and serves as a good guide for further quantitative investigations. Moreover, quali tative information can become very useful, especially when it is applied in close corres pondence with numerical methods, in order to interpret and value numerical results. A qualitative analysis may be crucial for the investigation of the flow in the neighbourhood of singularities where a numerical method is not reliable anymore due to discretisation er rors being unacceptable. Up till now, familiar research methods -frequently based on rigorous analyses, careful nu merical procedures and sophisticated experimental techniques -have increased considera bly our qualitative knowledge of flows, albeit that the information is often obtained indirectly by a process of a careful but cumbersome examination of quantitative data. In the past decade, new methods are under development that yield the qualitative infor mation more directly. These methods, make use of the knowledge available in the qualitative theory of differen tial equations and in the theory of bifurcations.
Author | : Alexander Gelfgat |
Publisher | : Springer |
Total Pages | : 527 |
Release | : 2018-07-06 |
Genre | : Technology & Engineering |
ISBN | : 3319914944 |
Download Computational Modelling of Bifurcations and Instabilities in Fluid Dynamics Book in PDF, Epub and Kindle
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 | : Radyadour Kh. Zeytounian |
Publisher | : Springer Science & Business Media |
Total Pages | : 498 |
Release | : 2013-06-29 |
Genre | : Science |
ISBN | : 3662104474 |
Download Theory and Applications of Viscous Fluid Flows Book in PDF, Epub and Kindle
This book closes the gap between standard undergraduate texts on fluid mechanics and monographical publications devoted to specific aspects of viscous fluid flows. Each chapter serves as an introduction to a special topic that will facilitate later application by readers in their research work.
Author | : Yuriko Y. Renardy |
Publisher | : SIAM |
Total Pages | : 452 |
Release | : 1996-01-01 |
Genre | : Science |
ISBN | : 9780898713770 |
Download Advances in Multi-fluid Flows Book in PDF, Epub and Kindle
The papers from this conference deal with multi-fluid flows and interfacial instabilities. Papers on multiple-layer convection, wave dynamics in viscous flows, stability of viscoelastic flows, numberical computation of bubbles, and solidification are included.
Author | : D. Ashpis |
Publisher | : Springer Science & Business Media |
Total Pages | : 417 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 9401117438 |
Download Instabilities and Turbulence in Engineering Flows Book in PDF, Epub and Kindle
This book contains contributions by colleagues, former students and friends of Professor Eli Reshotko in celebration of his 60th birth day. Since Professor Reshotko's scientific and engineering contribu tions have been in the areas of hydrodynamic stability, transition to turbulence, and boundary layer flows, it is only appropriate that the articles in this volume be devoted to these and related topics. The first two sections focus on instabilities and transition in sub sonic and supersonic flows, respectively. The third section deals with developing turbulence, while the the final section treats related prob lems in engineering fluid mechanics. The diversity and scope of the articles contained herein exemplify the insight and expertise required in the study of transitional and turbulent flows today - traits which also exemplify Eli Reshotko's contributions to these fields. A few of the articles in this volume were presented at a sym posium in honor of Eli Reshotko's 60th birthday, held in Newport News, Virginia, on July 28, 1991. The symposium was sponsored by lCASE, and organized by M.Y. Hussaini (lCASE) and R. Hirsh (U.S. National Science Foundation). Of those who could not attend, many chose to honor Professor Reshotko by a contribution to the volume dedicated to him. We would like to use this opportunity to express our deep ap preciation to M.Y. Hussaini for initiating this very special tribute to Eli, and to Ms. Emily Todd for her efforts in the volume preparation and in the organization of the symposium.
Author | : George R. Sell |
Publisher | : Springer Science & Business Media |
Total Pages | : 208 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461243467 |
Download Turbulence in Fluid Flows Book in PDF, Epub and Kindle
The articles in this volume are based on recent research on the phenomenon of turbulence in fluid flows collected by the Institute for Mathematics and its Applications. This volume looks into the dynamical properties of the solutions of the Navier-Stokes equations, the equations of motion of incompressible, viscous fluid flows, in order to better understand this phenomenon. Although it is a basic issue of science, it has implications over a wide spectrum of modern technological applications. The articles offer a variety of approaches to the Navier-Stokes problems and related issues. This book should be of interest to both applied mathematicians and engineers.
Author | : Matiur Rahman |
Publisher | : Southampton : WIT |
Total Pages | : 264 |
Release | : 2005 |
Genre | : Science |
ISBN | : |
Download Instability of Flows Book in PDF, Epub and Kindle
A state-of-the art analysis of studies in the field of instability of flows, this book contains chapters by leading experts in fluid mechanics. One of the primary aims of the contributors is to determine fruitful directions for future advanced studies and research.