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.
Download or read book Boundary Integral Equations for Viscous Flows written by Juan Pablo Hernández-Ortiz and published by . This book was released on 2004 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Boundary Element Analysis of Viscous Flow written by Koichi Kitagawa and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the performance of digital computers has been improved by the rapid development of electronics at remarkable speed. In addition, substantial research has been carried out in developing numerical analysis techniques. Nowadays, a variety of problems in the engineering and scientific fields can be solved by using not only super computers but also personal computers. After the first book titled "Boundary Element" was published by Brebbia in 1978, the boundary element method (BEM) has been recognized as a powerful numerical technique which has some advantages over the finite difference method (FDM) and finite element method (FEM). A great amount of research has been carried out on the applications of BEM to various problems. The numerical analysis of fluid mechanics and heat transfer problems plays a key role in analysing some phenomena and it has become recognized as a new research field called "Computational Fluid Dynamics". In partic ular, the analysis of viscous flow including thermal convection phenomena is one of the most important problems in engineering fields. The FDM and FEM have been generally .applied to solve these problems because of non singularities of governing equations.
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.
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 Boundary Integral Methods in Fluid Mechanics written by H. Power and published by WIT Press (UK). This book was released on 1995 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Brings together classical and recent developments on the application of integral equation numerical techniques for the solution of fluid dynamic problems.
Download or read book Boundary Integral Equation Analyses of Singular Potential and Biharmonic Problems written by D. B. Ingham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 165 pages. Available in PDF, EPUB and Kindle. Book excerpt: Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques. In the last decade there has been a rapid increase in the application of integral equation techniques for the numerical solution of such problems [1,2,3]. One such method is the boundary integral equation method (BIE) which is based on Green's Formula [4] and enables one to reformulate certain BVP as integral equations. The reformulation has the effect of reducing the dimension of the problem by one. Because discretisation occurs only on the boundary in the BIE the system of equations generated by a BIE is considerably smaller than that generated by an equivalent finite difference (FD) or finite element (FE) approximation [5]. Application of the BIE in the field of fluid mechanics has in the past been limited almost entirely to the solution of harmonic problems concerning potential flows around selected geometries [3,6,7]. Little work seems to have been done on direct integral equation solution of viscous flow problems. Coleman [8] solves the biharmonic equation describing slow flow between two semi infinite parallel plates using a complex variable approach but does not consider the effects of singularities arising in the solution domain. Since the vorticity at any singularity becomes unbounded then the methods presented in [8] cannot achieve accurate results throughout the entire flow field.
Download or read book Boundary Elements in Fluid Dynamics written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book Boundary Elements in Fluid Dynamics is the second volume of the two volume proceedings of the International Conference on Computer Modelling of Seas and Coastal Regions and Boundary Elements and Fluid Dynamics, held in Southampton, U.K., in April 1992. The Boundary Element Method (BEM) is now fully established as an ac curate and successful technique for solving engineering problems in a wide range of fields. The success of the method is due to its advantages in data reduction, as only the boundary of the region is modelled. Thus moving boundaries may be more easily handled, which is not the case if domain methods are used. In addition, the method is easily able to model regions to extending to infinity. Fluid mechanics is traditionally one of the most challenging areas of engi neering, the simulation of fluid motion, particularly in three dimensions, is always a serious test for any numerical method, and is an area in which BEM analysis may be used taking full advantage of its special characteris tics. The conference includes sections on turbomachinery, aerodynamics, viscous flow and turbulence models, and special flow situations. The organisers would like to thank the International Scientific Advisory Committee, the conference delegates and all of those who have actively supported the meet ing.
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:
Download or read book A Potential vorticity Decomposition for the Boundary Integral Equation Analysis of Viscous Flows written by Philip Paul Beauchamp and published by . This book was released on 1990 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Intermediate Fluid Mechanics written by James Liburdy and published by . This book was released on 2021-09-16 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
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: Many of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. 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. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.
Download or read book Three dimensional Viscous Flow Computations Using the Integral Boundary Layer Equations Simultaneously Coupled with a Low Order Panel Method written by William Michael Milewski and published by . This book was released on 1997 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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.
Download or read book Boundary Element Methods in Engineering written by Balkrishna Shriniwas Annigeri and published by Springer. This book was released on 1990 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt:
