Symmetric Finite Element and Boundary Integral Coupling Methods for Fluid-solid Interaction PDF Download
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Author: Jacobo Bielak
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 25
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Book Description
Abstract: "This paper presents a coupled finite element and boundary integral method for solving the time-periodic oscillation and scattering problem of an inhomogeneous elastic body immersed in a compressible, inviscid, homogeneous fluid. By using integral representations for the solution in the infinite exterior region occupied by the fluid, the problem is reduced to one defined only over the finite region occupied by the solid, with associated non-local boundary conditions. This problem is then given a family of variational formulations, including a symmetric one, which are used to derive finite dimensional Galerkin approximations. The validity of the method is established explicitly, and results of an error analysis are discussed, showing optimal convergence to a classical solution."
Author: Jacobo Bielak
Publisher:
ISBN:
Category : Boundary element methods
Languages : en
Pages : 25
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Book Description
Abstract: "This paper presents a coupled finite element and boundary integral method for solving the time-periodic oscillation and scattering problem of an inhomogeneous elastic body immersed in a compressible, inviscid, homogeneous fluid. By using integral representations for the solution in the infinite exterior region occupied by the fluid, the problem is reduced to one defined only over the finite region occupied by the solid, with associated non-local boundary conditions. This problem is then given a family of variational formulations, including a symmetric one, which are used to derive finite dimensional Galerkin approximations. The validity of the method is established explicitly, and results of an error analysis are discussed, showing optimal convergence to a classical solution."
Author: Jean-François Sigrist
Publisher: John Wiley & Sons
ISBN: 1118927745
Category : Science
Languages : en
Pages : 304
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Book Description
Fluid-Structure Interaction: An Introduction to FiniteElement Coupling fulfils the need for an introductive approachto the general concepts of Finite and Boundary Element Methods forFSI, from the mathematical formulation to the physicalinterpretation of numerical simulations. Based on theauthor’s experience in developing numerical codes forindustrial applications in shipbuilding and in teaching FSI to bothpracticing engineers and within academia, it provides acomprehensive and self–contained guide that is geared towardboth students and practitioners of mechanical engineering. Composedof six chapters, Fluid–Structure Interaction: An Introduction to FiniteElement Coupling progresses logically from formulations andapplications involving structure and fluid dynamics, fluid andstructure interactions and opens to reduced order-modelling forvibro-acoustic coupling. The author describes simple yetfundamental illustrative examples in detail, using analyticaland/or semi–analytical formulation & designed both toillustrate each numerical method and also to highlight a physicalaspect of FSI. All proposed examples are simple enough to becomputed by the reader using standard computational tools such asMATLAB, making the book a unique tool for self–learning andunderstanding the basics of the techniques for FSI, or can serve asverification and validation test cases of industrial FEM/BEM codesrendering the book valuable for code verification and validationpurposes.
Author: Siamak Amini
Publisher: Springer Science & Business Media
ISBN: 3642517277
Category : Technology & Engineering
Languages : en
Pages : 116
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Book Description
This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The particular approach adopted here involves an arbitrary coupling parameter and the effect that this parameter has on the stability and accuracy of the numerical method used to solve the integral equation is examined. The boundary integral analysis of the exterior acoustic problem is coupled with a finite element analysis of the elastic structure in order to investigate the interaction between the dynamic behaviour of the structure and the associated acoustic field. Recently there has been some controversy over whether or not the coupled problem also suffers from the non-uniqueness problems associated with the classical integral equation formulations of the exterior acoustic problem. This question is resolved by demonstrating that .the solution to the coupled problem is not unique at the characteristic frequencies and that it is necessary to employ an integral equation formulation valid for all frequencies.
Author: Abdelkhalak El Hami
Publisher: John Wiley & Sons
ISBN: 1119388929
Category : Science
Languages : en
Pages : 290
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Book Description
This book is dedicated to the general study of fluid structure interaction with consideration of uncertainties. The fluid-structure interaction is the study of the behavior of a solid in contact with a fluid, the response can be strongly affected by the action of the fluid. These phenomena are common and are sometimes the cause of the operation of certain systems, or otherwise manifest malfunction. The vibrations affect the integrity of structures and must be predicted to prevent accelerated wear of the system by material fatigue or even its destruction when the vibrations exceed a certain threshold.
Author: Stefan Hartmann
Publisher: kassel university press GmbH
ISBN: 3899586670
Category :
Languages : en
Pages : 278
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Book Description
Author: C. A. Brebbia
Publisher: WIT Press
ISBN: 1845647246
Category : Mathematics
Languages : en
Pages : 253
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Book Description
The Boundary Element Method, as well as other meshless techniques continue to evolve and grow in importance, with new applications developed every year. The proceedings of the Wessex Institute of Technology 's conferences on the Boundary Element Method, first convened in 1978 and now held annually, are recognised internationally as the record of the latest advances on the Method and other meshless techniques and their applications. The papers presented at the 35th conference 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.
Author: Gabriel N Gatica
Publisher: CRC Press
ISBN: 9780582279698
Category : Mathematics
Languages : en
Pages : 196
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Book Description
This book is the first to offer a general discussion on the cupling methods for nonliner problems, and provides all material necessary for an introductory course on the subject. Readers are assumed to have only a basic knowledge of applied functional analysis and partial differential equations at graduate level. This book can be used as an advanced graduate text as well as a reference for specialists working in the areas of partial differential equations, boundary integral equations and scientific computing. This book will be of particular interest to students and researchers in applied mathematics, numerical analysis and partial differential equations.
Author: Lothar Gaul
Publisher: Springer Science & Business Media
ISBN: 3662051362
Category : Technology & Engineering
Languages : en
Pages : 491
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Book Description
Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.
Author: Catalina Domínguez García
Publisher:
ISBN:
Category :
Languages : en
Pages : 128
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Book Description
Author: C.A. Brebbia
Publisher: Springer Science & Business Media
ISBN: 9401128723
Category : Technology & Engineering
Languages : en
Pages : 911
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Book Description
Seventh International Conference on Boundary Element Technology 'Betech 92', held at the University of New Mexico in Albuquerque, June 1992
