Boundary Integral Equation Analyses Of Singular Potential And Biharmonic Problems

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Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems

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Author : D. B. Ingham
Publisher : Springer Science & Business Media
ISBN 13 : 3642823300
Total Pages : 165 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by : D. B. Ingham

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.

Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems

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Author : D. B Ingham
Publisher :
ISBN 13 : 9783642823312
Total Pages : 180 pages
Book Rating : 4.8/5 (233 download)

Book Synopsis Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems by : D. B Ingham

Download or read book Boundary Integral Equation Analyses of Singular, Potential, and Biharmonic Problems written by D. B Ingham and published by . This book was released on 1984-08-01 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boundary Integral Equation Analysis of Singular, Potential, and Biharmonic Problems

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Author : Derek B. Ingham
Publisher :
ISBN 13 : 9780037136460
Total Pages : 173 pages
Book Rating : 4.1/5 (364 download)

Book Synopsis Boundary Integral Equation Analysis of Singular, Potential, and Biharmonic Problems by : Derek B. Ingham

Download or read book Boundary Integral Equation Analysis of Singular, Potential, and Biharmonic Problems written by Derek B. Ingham and published by . This book was released on 1984 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Mechanics Reviews

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Author :
Publisher :
ISBN 13 :
Total Pages : 620 pages
Book Rating : 4.:/5 (26 download)

Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Finite Rotations in Structural Mechanics

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Author : Wojciech Pietraszkiewicz
Publisher : Springer Science & Business Media
ISBN 13 : 3642828388
Total Pages : 394 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Finite Rotations in Structural Mechanics by : Wojciech Pietraszkiewicz

Download or read book Finite Rotations in Structural Mechanics written by Wojciech Pietraszkiewicz and published by Springer Science & Business Media. This book was released on 2013-03-12 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: The deformation near a material particle of the classical continuum is produced by successive superposition of a rigid-body translation, a pure stretch along principal directions of strain and a rigid-body ro tation of those directions. The rotational part of deformation is par ticularly important in the non-linear analysis of thin-walled solid structures such as ~eams, thin-walled bars, plates and shells, since in this case finite rotations may appear even if the strains are infinite simal. It seems that the research concerning the application of finite ro tations is carried out independently in different fields of structural mechanics. Theoretical and numerical methods developed and the results obtained for a particular type of the structure or for a particular ma terial behaviour not always are used to analyse similar problems for other types of structures or for another material behaviour. Since the research in this field had been growing rapidly, it was decided to organize an informal international meeting, under the auspi ces of the European Mechanics Co~mittee, entitled: Euromech Colloquium 197 "Finite Rotations in Structural Mechanics". The meeting was held on 17 - 20 September 1985 in Jablonna, a small suburbian area of Warsaw.

Numerical Simulation of Fluid Flow and Heat/Mass Transfer Processes

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Author : N.C. Markatos
Publisher : Springer Science & Business Media
ISBN 13 : 3642827810
Total Pages : 477 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Numerical Simulation of Fluid Flow and Heat/Mass Transfer Processes by : N.C. Markatos

Download or read book Numerical Simulation of Fluid Flow and Heat/Mass Transfer Processes written by N.C. Markatos and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational fluid flow is not an easy subject. Not only is the mathematical representation of physico-chemical hydrodynamics complex, but the accurate numerical solution of the resulting equations has challenged many numerate scientists and engineers over the past two decades. The modelling of physical phenomena and testing of new numerical schemes has been aided in the last 10 years or so by a number of basic fluid flow programs (MAC, TEACH, 2-E-FIX, GENMIX, etc). However, in 1981 a program (perhaps more precisely, a software product) called PHOENICS was released that was then (and still remains) arguably, the most powerful computational tool in the whole area of endeavour surrounding fluid dynamics. The aim of PHOENICS is to provide a framework for the modelling of complex processes involving fluid flow, heat transfer and chemical reactions. PHOENICS has now been is use for four years by a wide range of users across the world. It was thus perceived as useful to provide a forum for PHOENICS users to share their experiences in trying to address a wide range of problems. So it was that the First International PHOENICS Users Conference was conceived and planned for September 1985. The location, at the Dartford Campus of Thames Polytechnic, in the event, proved to be an ideal site, encouraging substantial interaction between the participants.

The Boundary Element Method

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Author : A. Ali
Publisher : CRC Press
ISBN 13 : 9789058096579
Total Pages : 212 pages
Book Rating : 4.0/5 (965 download)

Book Synopsis The Boundary Element Method by : A. Ali

Download or read book The Boundary Element Method written by A. Ali and published by CRC Press. This book was released on 2004-08-15 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method, or BEM, is a powerful numerical analysis tool with particular advantages over other analytical methods. With research in this area increasing rapidly and more uses for the method appearing, this timely book provides a full chronological review of all techniques that have been proposed so far, covering not only the fundamentals of the BEM but also a wealth of information on related computational analysis techniques and formulations, and their applications in engineering, physics and mathematics. An indispensable handbook and source of inspiration for researchers and professionals in these fields, this book is also an ideal textbook for graduate engineering students.

Emerging Technologies and Techniques in Porous Media

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Author : Derek B. Ingham
Publisher : Springer Science & Business Media
ISBN 13 : 9400709714
Total Pages : 513 pages
Book Rating : 4.4/5 (7 download)

Book Synopsis Emerging Technologies and Techniques in Porous Media by : Derek B. Ingham

Download or read book Emerging Technologies and Techniques in Porous Media written by Derek B. Ingham and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Heat and fluid flow in fluid-saturated porous media has become increas ingly more attractive to researchers and thus it has become a very pro ductive field for many researchers and practical engineers in very diverse range of fields. The great interest in the topic stems from its widespread number of different practical applications in modern industries and in many environmental issues, such as nuclear waste management, build ing thermal insulators, geothermal power plants, grain storage, etc. In building sciences and thermal insulation engineering, an appreciable in sulating effect has been derived by placing porous material in the gap between the cavity walls and multishield structures of nuclear reactors between the pressure vessel and the reactor. Geophysical applications include modeling of the spread of pollutants (e. g. radioactive mater ial), water movements in geothermal reservoirs, enhanced recovery of petroleum reservoirs, etc. These, and many other, important practical applications have resulted in a rapid expansion of research in the general area of porous media and thus generated a vast amount of both theor etical and experimental research work. It has attracted the attention of industrialists, engineers and scientists from many varying disciplines, such as applied mathematics, chemical, civil, environmental, mechanical and nuclear engineering, geothermal physics, food science, medicine, etc. This book contains some of the contributions to the NATO Advanced Study Institute on Emerging Technologies and Techniques in Porous Media that was held in Neptun-Olimp, Constanta, Black Sea, Romania on 9-20 June, 2003.

Numerical Methods for Problems in Infinite Domains

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Author : D. Givoli
Publisher : Elsevier
ISBN 13 : 1483291081
Total Pages : 316 pages
Book Rating : 4.4/5 (832 download)

Book Synopsis Numerical Methods for Problems in Infinite Domains by : D. Givoli

Download or read book Numerical Methods for Problems in Infinite Domains written by D. Givoli and published by Elsevier. This book was released on 2013-10-22 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reviews and discusses the main numerical methods used today for solving problems in infinite domains. It also presents in detail one very effective method in this class, namely the Dirichlet-to-Neumann (DtN) finite element method. The book is intended to provide the researcher or engineer with the state-of-the-art in numerical solution methods for infinite domain problems, such as the problems encountered in acoustics and structural acoustics, fluid dynamics, meteorology, and many other fields of application. The emphasis is on the fundamentals of the various methods, and on reporting recent progress and forecasting future directions. An appendix at the end of the book provides an introduction to the essentials of the finite element method, and suggests a short list of texts on the subject which are categorized by their level of mathematics.

Handbook of Differential Equations

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Author : Daniel Zwillinger
Publisher : Gulf Professional Publishing
ISBN 13 : 9780127843964
Total Pages : 842 pages
Book Rating : 4.8/5 (439 download)

Book Synopsis Handbook of Differential Equations by : Daniel Zwillinger

Download or read book Handbook of Differential Equations written by Daniel Zwillinger and published by Gulf Professional Publishing. This book was released on 1998 with total page 842 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book compiles the most widely applicable methods for solving and approximating differential equations. as well as numerous examples showing the methods use. Topics include ordinary differential equations, symplectic integration of differential equations, and the use of wavelets when numerically solving differential equations. For nearly every technique, the book provides: The types of equations to which the method is applicable The idea behind the method The procedure for carrying out the method At least one simple example of the method Any cautions that should be exercised Notes for more advanced users References to the literature for more discussion or more examples, including pointers to electronic resources, such as URLs

Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena

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Author : Charles V. Camp
Publisher : Springer Science & Business Media
ISBN 13 : 3642847013
Total Pages : 261 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena by : Charles V. Camp

Download or read book Boundary Element Analysis of Nonhomogeneous Biharmonic Phenomena written by Charles V. Camp and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the date of this writing, there is no question that the boundary element method has emerged as one of the major revolutions on the engineering science of computational mechanics. The emergence of the technique from relative obscurity to a cutting edge engineering analysis tool in the short space of basically a ten to fifteen year time span is unparalleled since the advent of the finite element method. At the recent international conference BEM XI, well over one hundred papers were presented and many were pub lished in three hard-bound volumes. The exponential increase in interest in the subject is comparable to that shown in the early days of finite elements. The diversity of appli cations of BEM, the broad base of interested parties, and the ever-increasing presence of the computer as an engineering tool are probably the reasons for the upsurge in pop ularity of BEM among researchers and industrial practitioners. Only in the past few years has the BEM audience become large enough that we have seen the development of specialty books on specific applications of the boundary element method. The present text is one such book. In this work, we have attempted to present a self-contained treatment of the analysis of physical phenomena governed by equations containing biharmonic operators. The biharmonic operator defines a very important class of fourth-order PDE problems which includes deflections of beams and thin plates, and creeping flow of viscous fluids.

Nonlinear Dynamics of Transcritical Flows

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Author : Hermann L. Jordan
Publisher : Springer Science & Business Media
ISBN 13 : 3642825060
Total Pages : 203 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Nonlinear Dynamics of Transcritical Flows by : Hermann L. Jordan

Download or read book Nonlinear Dynamics of Transcritical Flows written by Hermann L. Jordan and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 203 pages. Available in PDF, EPUB and Kindle. Book excerpt: The German Aerospace Research Establishment (DFVLR) has initiated a new series of seminars concerning fundamental problems in applied engineering sciences. These seminars will be devoted to interdisciplinary topics related to the vast variety of DFVLR activities in the fields of fluid mechanics, flight mechanics, guidance and control, materials and struc tures, non-nuclear energetics, communication technology, and remote sensing. The purpose of the series is twofold, namely, to bring modern ideas and techniques to the attention of the DFVLR in order to stimulate internal activi ties, and secondly, to promulgate DFVLR achievements wi thin the international scientific/technical community. To this end, prominent speakers from Germany and other countries will be invited to join in a series of lectures and discussions on certain topics of mutual interest. The first colloquium of this series dealt with the dynamics of nonlinear systems, especially in relation'to its application to fluid mechanics, particularly in transcritical flows. Of special interest are questions concerning the formation of nonlinear three-dimensional structures in classical fluid mechanical stability problems, the physical process of transition to turbulence, and the appearance of chaotic solutions. The scope of lectures reaches from self-organization in physical systems to structural stability of three-dimensional vortex patterns, the treatment of dissipative and conservative systems, the formation of nonlinear structures in the region of laminar-turbulent transition, and numerical simulation of cumulus cloud convection in meteorology. The seminar should provide an insight into the extent to which theoretical findings in Non linear Dynamics apply to the comprehension of fluid-mechanical problems.

Proceedings of the Third Asian Mathematical Conference 2000

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Author : Toshikazu Sunada
Publisher : World Scientific
ISBN 13 : 9810249470
Total Pages : 633 pages
Book Rating : 4.8/5 (12 download)

Book Synopsis Proceedings of the Third Asian Mathematical Conference 2000 by : Toshikazu Sunada

Download or read book Proceedings of the Third Asian Mathematical Conference 2000 written by Toshikazu Sunada and published by World Scientific. This book was released on 2002 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: COntains 55 research and expository articles on a wide range of currently active and interesting areas in pure and applied mathematics.

Vibrations of Engineering Structures

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Author : C.A. Brebbia
Publisher : Springer Science & Business Media
ISBN 13 : 3642823904
Total Pages : 309 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Vibrations of Engineering Structures by : C.A. Brebbia

Download or read book Vibrations of Engineering Structures written by C.A. Brebbia and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: The increasing size and complexity of new structural forces in engineering have made it necessary for designers to be aware of their dynamic behaviour. Dynamics is a subject which has traditionally been poorly taught in most engineering courses. This book was conceived as a way of providing engineers with a deeper knowledge of dynamic analysis and of indicating to them how some of the new vibrations problems can be solved. The authors start from basic principles to end up with the latest random vibration applications. The book originated 1n a week course given annually by the authors at the Computational Mechanics Centre, Ashurst Lodge, Southampton, England. Special care was taken to ensure continuity in the text and notations. Southampton 1984 CONTENTS Page Foreword Chapter 1 Introduction to Vibration 1. Introductory Remarks 1 2. Single Degree of Freedom Systems: Equations of Motion and Types of Problem 2 3. Response 6 4. General Structures: Equations of Motion 11 5. Response 15 6. Dynamic Interaction Problems 20 Chapter 2 Free Vibration, Resonance and Damping l. Introduction 25 25 2. Spring-Mass System 3. Simple Pendulum 27 4. Beam with Central Load 28 5. Rolling of a Ship 28 6. Springs in Parallel 30 7. Springs in Series 30 8. Free Vibration 31 9. Energy of Vibrating System 33 10. Damped Free Vibration 34 11. Undamped Forced Response 38 12. Damped Forced Response 39 13. Undamped Transient Vibration 42 14. Damped Transient Vibration 43 15.

Modern Tunneling Science And Technology

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Author : T. Adachi
Publisher : Routledge
ISBN 13 : 1351430432
Total Pages : 627 pages
Book Rating : 4.3/5 (514 download)

Book Synopsis Modern Tunneling Science And Technology by : T. Adachi

Download or read book Modern Tunneling Science And Technology written by T. Adachi and published by Routledge. This book was released on 2017-11-22 with total page 627 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the science and technology of tunneling for the 21st Century. It includes topics related to planning, geological and environmental investigations, as well as the maintenance and the longevity of tunnels.

Multiphase Migration of Organic Compounds in a Porous Medium

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Author : Linda M. Abriola
Publisher : Springer Science & Business Media
ISBN 13 : 3642823432
Total Pages : 243 pages
Book Rating : 4.6/5 (428 download)

Book Synopsis Multiphase Migration of Organic Compounds in a Porous Medium by : Linda M. Abriola

Download or read book Multiphase Migration of Organic Compounds in a Porous Medium written by Linda M. Abriola and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: Groundwater has long been one of the world's most important resources. It accounts for approximately 96% of all fresh water in the United States and supplies more than 50% of the population with potable water. Historically, this water source has generally been regarded as pristine. However, in recent years, contamination of ground water by industrial products has become a problem of growing concern. During the past four decades, the variety and quantity of organic chemicals produced in the U. S. has steadily increased. Currently, more than 40,000 different organic compounds are being manufactured, trans ported, used and eventually disposed of in the environment (Wilson, et !l (1981». Production and consumption of petroleum products has also risen in this same time period. Many of these industrial compounds are highly toxic and slightly water soluble. Thus, they pose a poten tial threat to large volumes of groundwater if they are somehow intro duced into the subsurface. Increased production of chemicals implies the increased risk of accidental spills or leakage to the soil, and indeed, the literature abounds with contamination case histories. 2 Incidences of petroleum contamination of groundwater have been documented by many authors. For example, see: Schwi11e (1967); Toms (1971); Guenther (1972); McKee, et!l (1912); Williams and Wilder (1971); Van100cke, et ~]-

Boundary Integral and Singularity Methods for Linearized Viscous Flow

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Author : C. Pozrikidis
Publisher : Cambridge University Press
ISBN 13 : 9780521406932
Total Pages : 276 pages
Book Rating : 4.4/5 (69 download)

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.