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Boundary Integral And Singularity Methods For Linearized Viscous Flow
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Book Synopsis Boundary Integral and Singularity Methods for Linearized Viscous Flow by : C. Pozrikidis
Download or read book Boundary Integral and Singularity Methods for Linearized Viscous Flow written by C. Pozrikidis and published by Cambridge University Press. This book was released on 1992-02-28 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In addition to theory, this study focuses on practical application and computer implementation in a coherent introduction to boundary integrals, boundary element and singularity methods for steady and unsteady flow at zero Reynolds numbers.
Book Synopsis Viscous Flow Applications by : Carlos A. Brebbia
Download or read book Viscous Flow Applications written by Carlos A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method has now become a powerful tool of engineering analysis and is routinely applied for the solution of elastostatics and potential problems. More recently research has concentrated on solving a large variety of non-linear and time dependent applications and in particular the method has been developed for viscous fluid flow problems. This book presents the state of the art on the solution of viscous flow using boundary elements and discusses different current approaches which have been validated by numerical experiments. . Chapter 1 of the book presents a brief review of previous work on viscous flow simulation and in particular gives an up-to-date list of the most important BEM references in the field. Chapter 2 reviews the governing equations for general viscous flow, including compressibility. The authors present a compre hensive treatment of the different cases and their formulation in terms of boundary integral equations. This work has been the result of collaboration between Computational Mechanics Institute of Southampton and Massa chusetts Institute of Technology researchers. Chapter 3 describes the gen eralized formulation for unsteady viscous flow problems developed over many years at Georgia Institute of Technology. This formulation has been extensively applied to solve aer09ynamic problems.
Book Synopsis Viscous Flow Applications by : Carlos A Brebbia
Download or read book Viscous Flow Applications written by Carlos A Brebbia and published by . This book was released on 1989-10-30 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Boundary Element Analysis of Viscous Flow by : Koichi Kitagawa
Download or read book Boundary Element Analysis of Viscous Flow written by Koichi Kitagawa and published by . This book was released on 1990 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz by : H.K. Kuiken
Download or read book The Centenary of a Paper on Slow Viscous Flow by the Physicist H.A. Lorentz written by H.K. Kuiken and published by Springer. This book was released on 2013-12-20 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book commemorates the appearance one hundred years ago of a paper on slow viscous flow, written by the physicist and Nobel laureate H.A. Lorentz. Although Lorentz is not remembered by most as a fluid dynamicist - indeed, his fame rests primarily on his contributions to the theory of electrons, electrodynamics and early developments in relativity - his fluid-mechanics paper of 1896 contains many ideas which have remained important in fluid mechanics to this very day. In that short paper he put forward his reciprocal theorem (an integral-equation formulation which is used extensively nowadays in boundary-element calculations) and his reflection theorem. Furthermore, he must be credited with the invention of the stokeslet. The contributors to this book have all made their mark in slow viscous flow. Each of these authors highlights further developments of one of Lorentz's ideas. There are applications in sintering, micropolar fluids, bubbles, locomotion of microorganisms, non-Newtonian fluids, drag calculations, etc. Other contributions are of a more theoretical nature, such as the flow due to an array of stokeslets, the interaction between a drop and a particle, the interaction of a particle and a vortex, the reflection theorem for other geometries, a disk moving along a wall and a higher-order investigation. Lorentz's paper of 1896 is also included in an English translation. An introductory paper puts Lorentz's work in fluid mechanics in a wider perspective. His other great venture in fluid mechanics - his theoretical modelling on the enclosure of the Zuyderzee - is also discussed. The introduction also presents a short description of Lorentz's life and times. It was Albert Einstein who said of Lorentz that he was `...the greatest and noblest man of our time'.
Book Synopsis The Boundary Element Method, Volume 1 by : L. C. Wrobel
Download or read book The Boundary Element Method, Volume 1 written by L. C. Wrobel and published by John Wiley & Sons. This book was released on 2002-04-22 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM) is a modern numerical techniquewhich has enjoyed increasing popularity over the last two decades,and is now an established alternative to traditional computationalmethods of engineering analysis. The main advantage of the BEM isits unique ability to provide a complete solution in terms ofboundary values only, with substantial savings in modelling effort. This two-volume book set is designed to provide the readers with acomprehensive and up-to-date account of the boundary element methodand its application to solving engineering problems. Each volume isa self-contained book including a substantial amount of materialnot previously covered by other text books on the subject. Volume 1covers applications to heat transfer, acoustics, electrochemistryand fluid mechanics problems, while volume 2 concentrates on solidsand structures, describing applications to elasticity, plasticity,elastodynamics, fracture mechanics and contact analysis. The earlychapters are designed as a teaching text for final yearundergraduate courses. Both volumes reflect the experience of theauthors over a period of more than twenty years of boundary element research. This volume, Applications in Thermo-Fluids and Acoustics, provides acomprehensive presentation of the BEM from fundamentals to advancedengineering applications and encompasses: Steady and transient heat transfer Potential and viscous fluid flows Frequency and time-domain acoustics Corrosion and other electrochemical problems. A unique feature of this book is an in-depth presentation of BEMformulations in all the above fields, including detaileddiscussions of the basic theory, numerical algorithms and practicalengineering applications of the method. Written by an internationally recognised authority in the field,this is essential reading for postgraduates, researchers andpractitioners in civil, mechanical and chemical engineering andapplied mathematics.
Book Synopsis Boundary Element Technology VII by : C.A. Brebbia
Download or read book Boundary Element Technology VII written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 911 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seventh International Conference on Boundary Element Technology 'Betech 92', held at the University of New Mexico in Albuquerque, June 1992
Book Synopsis Progress in Analysis by : Heinrich G. W. Begehr
Download or read book Progress in Analysis written by Heinrich G. W. Begehr and published by World Scientific. This book was released on 2003 with total page 1557 pages. Available in PDF, EPUB and Kindle. Book excerpt: The biannual ISAAC congresses provide information about recent progress in the whole area of analysis including applications and computation. This book constitutes the proceedings of the third meeting.
Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXVIII by : A.H-D. Cheng
Download or read book Boundary Elements and Other Mesh Reduction Methods XXXVIII written by A.H-D. Cheng and published by WIT Press. This book was released on 2015-11-16 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing the latest in a long line of conferences covering the most recent advances in Boundary Elements and Mesh Reduction Methods (BEM/MRM), this book contains an important chapter in the history of this important method used in science and engineering. The BEM/MRM conference has long been recognised as THE international forum on the technique. The proceedings of the conference therefore constitute a record of the development of the method, running from the initial successful development of boundary integral techniques into the BEM, a method that eliminates the need for an internal mesh, to the recent and most sophisticated Mesh Reduction and even Meshless Methods. Since the boundary elements, mesh reduction, and meshless methods are used in many engineering and scientific fields, the book will be of great interest to all engineers and scientists working within the areas of numerical analysis, boundary elements and meshless methods. Topics covered include: Advanced formulations; Advanced meshless and mesh reduction methods; Structural mechanics applications; Solid mechanics; Heat and mass transfer, Electrical engineering and electromagnetics; Computational methods; Fluid flow modelling; Damage mechanics and fracture; Dynamics and Vibrations Engineering applications.
Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXVII by : C.A. Brebbia
Download or read book Boundary Elements and Other Mesh Reduction Methods XXXVII written by C.A. Brebbia and published by WIT Press. This book was released on 2014-09-08 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since 1978 the conference on Boundary Elements and Mesh Reduction Methods has produced a successful series of volumes in which all major developments in the field have been presented. The 37th volume in the series continues this success by bringing together the latest advanced research carried out by different groups around the world. The included papers cover topics such as: Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.
Book Synopsis Viscous Incompressible Flow for Low Reynolds Numbers by : Mirela Kohr
Download or read book Viscous Incompressible Flow for Low Reynolds Numbers written by Mirela Kohr and published by WIT Press (UK). This book was released on 2004 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the fundamental mathematical theory of, and reviews state-of-the-art advances in, low Reynolds number viscous incompressible flow. The authors devote much of the text to the development of boundary integral methods for slow viscous flow pointing out new and important results.
Download or read book Viscous Flow written by Hilary Ockendon and published by Cambridge University Press. This book was released on 1995-01-27 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows.
Book Synopsis Free Boundaries in Viscous Flows by : Robert A. Brown
Download or read book Free Boundaries in Viscous Flows written by Robert A. Brown and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is increasingly the case that models of natural phenomena and materials processing systems involve viscous flows with free surfaces. These free boundaries are interfaces of the fluid with either second immiscible fluids or else deformable solid boundaries. The deformation can be due to mechanical displacement or as is the case here, due to phase transformation; the solid can melt or freeze. This volume highlights a broad range of subjects on interfacial phenomena. There is an overview of the mathematical description of viscous free-surface flows, a description of the current understanding of mathematical issues that arise in these models and a discussion of high-order-accuracy boundary-integral methods for the solution of viscous free surface flows. There is the mathematical analysis of particular flows: long-wave instabilities in viscous-film flows, analysis of long-wave instabilities leading to Marangoni convection, and de§ scriptions of the interaction of convection with morphological stability during directional solidification. This book is geared toward anyone with an interest in free-boundary problems, from mathematical analysts to material scientists; it will be useful to applied mathematicians, physicists, and engineers alike.
Book Synopsis Recent Advances in Numerical Methods for Partial Differential Equations and Applications by : Xiaobing Feng
Download or read book Recent Advances in Numerical Methods for Partial Differential Equations and Applications written by Xiaobing Feng and published by American Mathematical Soc.. This book was released on 2002 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: An emerging field over the past 15 years, computational mathematics is a vast area which has experienced major developments in both algorithmic advances and applications to other fields. These developments have had profound implications in mathematics, science, engineering and industry. Compiled here are six of nine in-depth survey papers with an expository discussion on computational mathematics that were presented at the 2001 John H. Barrett Memorial Lectures at the University of Tennessee, Knoxville. They focus on parallel numerical algorithms for partial differential equations, their implementation and applications in fluid mechanics and material science. Each of the lecturers is a leading researcher in the field of computational mathematics and its applications. This book will be a useful reference for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists. Prior knowledge of partial differential equations and their numerical methods is helpful.
Book Synopsis Boundary Integral Equations by : George C. Hsiao
Download or read book Boundary Integral Equations written by George C. Hsiao and published by Springer Nature. This book was released on 2021-03-26 with total page 783 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second edition of the book which has two additional new chapters on Maxwell’s equations as well as a section on properties of solution spaces of Maxwell’s equations and their trace spaces. These two new chapters, which summarize the most up-to-date results in the literature for the Maxwell’s equations, are sufficient enough to serve as a self-contained introductory book on the modern mathematical theory of boundary integral equations in electromagnetics. The book now contains 12 chapters and is divided into two parts. The first six chapters present modern mathematical theory of boundary integral equations that arise in fundamental problems in continuum mechanics and electromagnetics based on the approach of variational formulations of the equations. The second six chapters present an introduction to basic classical theory of the pseudo-differential operators. The aforementioned corresponding boundary integral operators can now be recast as pseudo-differential operators. These serve as concrete examples that illustrate the basic ideas of how one may apply the theory of pseudo-differential operators and their calculus to obtain additional properties for the corresponding boundary integral operators. These two different approaches are complementary to each other. Both serve as the mathematical foundation of the boundary element methods, which have become extremely popular and efficient computational tools for boundary problems in applications. This book contains a wide spectrum of boundary integral equations arising in fundamental problems in continuum mechanics and electromagnetics. The book is a major scholarly contribution to the modern approaches of boundary integral equations, and should be accessible and useful to a large community of advanced graduate students and researchers in mathematics, physics, and engineering.
Book Synopsis Boundary Element Methods in Engineering and Sciences by : M. H. Aliabadi
Download or read book Boundary Element Methods in Engineering and Sciences written by M. H. Aliabadi and published by World Scientific. This book was released on 2011 with total page 412 pages. Available in PDF, EPUB and Kindle. Book excerpt: The boundary element method (BEM), also known as the boundary integral equation method (BIEM), is a modern numerical technique. It is an established alternative to traditional computational methods of engineering analysis. This book provides a comprehensive account of the method and its application to problems in engineering and science.
Book Synopsis Boundary Element Methods in Nonlinear Fluid Dynamics by : P.K. Banerjee
Download or read book Boundary Element Methods in Nonlinear Fluid Dynamics written by P.K. Banerjee and published by CRC Press. This book was released on 1990-05-31 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume demonstrates that boundary element methods are both elegant and efficient in their application to time dependent time harmonic problems in engineering and therefore worthy of considerable development.
