Boundary Integral And Singularity Methods For Linearized Viscous Flow
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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.
Boundary Element Analysis Of Viscous Flow
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Author : Koichi Kitagawa
language : en
Publisher:
Release Date : 1990
Boundary Element Analysis Of Viscous Flow written by Koichi Kitagawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Science categories.
Boundary Integral Equation Analyses Of Singular Potential And Biharmonic Problems
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Author : D. B. Ingham
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Boundary Integral Equation Analyses Of Singular Potential And Biharmonic Problems written by D. B. Ingham 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 Technology & Engineering categories.
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.
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 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.
Selected Topics In Boundary Integral Formulations For Solids And Fluids
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Author : Vladimir Kompiš
language : en
Publisher: Springer
Release Date : 2014-05-04
Selected Topics In Boundary Integral Formulations For Solids And Fluids written by Vladimir Kompiš and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-04 with Technology & Engineering categories.
The book outlines special approaches using singular and non-singular, multi-domain and meshless BEM formulations, hybrid- and reciprocity-based FEM for the solution of linear and non-linear problems of solid and fluid mechanics and for the acoustic fluid-structure interaction. Use of Trefftz functions and other regularization approaches to boundary integral equations (BIE), boundary contour and boundary node solution of BIE, sensitivity analysis, shape optimization, error analysis and adaptivity, stress and displacement derivatives in non-linear problems smoothing using Trefftz polynomials and other special numerical approaches are included. Applications to problems such as noise radiation from rolling bodies, acoustic radiation in closed and infinite domains, 3D dynamic piezoelectricity, Stefan problems and coupled problems are included.
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.
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.
Viscous Incompressible Flow For Low Reynolds Numbers
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Author : Mirela Kohr
language : en
Publisher: WIT Press (UK)
Release Date : 2004
Viscous Incompressible Flow For Low Reynolds Numbers written by Mirela Kohr 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 2004 with Science categories.
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.
Boundary Integral Equations For Viscous Flows
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Author : Juan Pablo Hernández-Ortiz
language : en
Publisher:
Release Date : 2004
Boundary Integral Equations For Viscous Flows written by Juan Pablo Hernández-Ortiz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.