Applications Of Boundary Integral Methods To Viscous Flows
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Viscous Flow Applications
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Author : Carlos A. Brebbia
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-12
Viscous Flow Applications written by Carlos A. Brebbia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-12 with Science categories.
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.
Applications Of Boundary Integral Methods To Viscous Flows
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Author : Enda Daniel Kelly
language : en
Publisher:
Release Date : 1995
Applications Of Boundary Integral Methods To Viscous Flows written by Enda Daniel Kelly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Boundary element methods categories.
Boundary Integral And Singularity Methods For Linearized Viscous Flow
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Author : C. Pozrikidis
language : en
Publisher: Cambridge University Press
Release Date : 1992-02-28
Boundary Integral And Singularity Methods For Linearized Viscous Flow written by C. Pozrikidis and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-02-28 with Mathematics categories.
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.
Viscous Flow Applications
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Author : Carlos A Brebbia
language : en
Publisher:
Release Date : 1989-10-30
Viscous Flow Applications written by Carlos A Brebbia and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-10-30 with categories.
Boundary Element Analysis Of Viscous Flow
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Author : Koichi Kitagawa
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-08
Boundary Element Analysis Of Viscous Flow written by Koichi Kitagawa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-08 with Science categories.
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.
Boundary Element Methods In Nonlinear Fluid Dynamics
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Author : P.K. Banerjee
language : en
Publisher: CRC Press
Release Date : 1990-05-31
Boundary Element Methods In Nonlinear Fluid Dynamics written by P.K. Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-05-31 with Science categories.
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.
Free Boundaries In Viscous Flows
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Author : Robert A. Brown
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Free Boundaries In Viscous Flows written by Robert A. Brown and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
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.
Application Of The Boundary Integral Method To The Deformation Of Droplets In Viscous Flow
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Author : Carol Ann Schnepper
language : en
Publisher:
Release Date : 1989
Application Of The Boundary Integral Method To The Deformation Of Droplets In Viscous Flow written by Carol Ann Schnepper and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Boundary Integral Methods In Fluid Mechanics
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Author : H. Power
language : en
Publisher: WIT Press (UK)
Release Date : 1995
Boundary Integral Methods In Fluid Mechanics written by H. Power and has been published by WIT Press (UK) this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Mathematics categories.
Brings together classical and recent developments on the application of integral equation numerical techniques for the solution of fluid dynamic problems.
Boundary Element Methods For Viscous Flow With Applications In Microcantilever Array
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Author : Putian He
language : en
Publisher:
Release Date : 2019
Boundary Element Methods For Viscous Flow With Applications In Microcantilever Array written by Putian He and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Fluid-structure interactions at microscale are ubiquitous in biology and engineering. Understanding the complex micromechanical phenomena arises from the interplay between inertia, elastic and viscous forces on the microstructures are computationally formidable tasks but essential. At zero Reynold number asymptotic limit, fluids are dominated by viscosity, and the drag force changes linearly with local fluid speed, which exists analytical Green's functions for the governing Stokes equations. In this thesis, the N-body hydrodynamic interactions of Euler-Bernoulli elastic beams immersed in viscous, incompressible fluids at zero Reynold number limit are solved computationally. A numerical recipe and program based on the symmetric Galerkin boundary element method are developed in Matlab for solving the boundary integral equations. In the end, up to one hundred hydrodynamically fully coupled elastic beams were able to be solved efficiently on a standard desktop personal computer. These microstructures simulation could serve as the numerical basis for understanding how the macroscopic transport and rheological property is modified at the vicinity of cantilever arrays, and also as viscosity and flow sensors for various engineering applications.