Spectral Methods For Incompressible Viscous Flow
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Spectral Methods For Incompressible Viscous Flow
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Author : Roger Peyret
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Spectral Methods For Incompressible Viscous Flow written by Roger Peyret 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 2013-03-09 with Mathematics categories.
This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
Spectral Methods
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Author : Claudio Canuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-06-30
Spectral Methods written by Claudio Canuto 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 2007-06-30 with Mathematics categories.
Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.
Spectral Methods For Viscous Incompressible Flows
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Author : Claudo Canuto
language : en
Publisher:
Release Date : 1991
Spectral Methods For Viscous Incompressible Flows written by Claudo Canuto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.
Computational Methods For Fluid Flow
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Author : Roger Peyret
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Computational Methods For Fluid Flow written by Roger Peyret 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 Science categories.
In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.
Spectral Methods For Incompressible Viscous Flow
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Author : Roger Peyret
language : en
Publisher: Springer
Release Date : 2002-03-28
Spectral Methods For Incompressible Viscous Flow written by Roger Peyret and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-03-28 with Mathematics categories.
This well-written book explains the theory of spectral methods and their application to the computation of viscous incompressible fluid flow, in clear and elementary terms. With many examples throughout, the work will be useful to those teaching at the graduate level, as well as to researchers working in the area.
A Domain Decomposition Method For Incompressible Viscous Flow
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Author : University of Wisconsin--Madison. Computer Sciences Dept
language : en
Publisher:
Release Date : 1989
A Domain Decomposition Method For Incompressible Viscous Flow written by University of Wisconsin--Madison. Computer Sciences Dept and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Decomposition (Mathematics) categories.
Abstract: "A method for using domain decomposition to solve the equations of incompressible viscous flow is presented. The method is described in detail, and test results are given for two test problems. A notable feature of the method is that the incompressibility constraint is never imposed. The domain decomposition uses finite difference and spectral methods on overlapping domains, with second-order accurate interpolation of the velocity relating the solutions on the different domains. The method is shown to be globally second-order accurate by the test results."
High Order Methods For Incompressible Fluid Flow
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Author : M. O. Deville
language : en
Publisher: Cambridge University Press
Release Date : 2002-08-15
High Order Methods For Incompressible Fluid Flow written by M. O. Deville 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 2002-08-15 with Mathematics categories.
Publisher Description
Uniform Flow Past A Rigid Sphere By The Spectral Numerical Methods
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Author : Zekai Akcan
language : en
Publisher:
Release Date : 1997-03
Uniform Flow Past A Rigid Sphere By The Spectral Numerical Methods written by Zekai Akcan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-03 with categories.
A steady, axially symmetric, incompressible, viscous flow past a rigid sphere is numerically simulated by using a numerical scheme, based on spectral methods. The equations have been reduced to two sets of nonlinear second order partial differential equations in terms of vorticity and stream function. The calculations have been carried out for Reynolds numbers, based on the sphere diameter, in the range 0.1 to 104. The numerical results have verified that there is excellent agreement with Stokes theory at very low Reynolds numbers. At moderate to intermediate Reynolds numbers there is good general agreement with available experimental data and flow visualization pictures. The Reynolds number at which separation occurs is estimated as 20. The approach to boundary-layer behavior with increasing Reynolds numbers is also verified by comparison with potential flow theory and analytical boundary-layer solution.
Spectral Methods Solution Of The Navier Stokes Equations For Steady Viscous Flows
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Author : German A. Vargas
language : en
Publisher:
Release Date : 2009
Spectral Methods Solution Of The Navier Stokes Equations For Steady Viscous Flows written by German A. Vargas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009 with Electronic dissertations categories.
A combination of Spectral Methods and Finite Differences will be used to solve the Navier-Stokes equations for a viscous flow past a circular cylinder and past symmetric Joukowski airfoils. Different discretizations of the physical problem will be explored, and the solution of the equations will be analyzed for different geometries and boundary conditions. This project is the continuation of our research started as a Master Thesis at Wichita State University under the advising of Professor Alan Elcrat; the project is a deep exploration of the solution of Navier-Stokes equations by implementing new methods of discretization including spectral differentiation. We will compare results previously obtained by Gauss-Seidel/Successive Over-Relaxation Methods (SOR) together with Finite Differences, with results using Newton's Method, based on work by Bengt Fornberg, but implementing spectral differentiation. As we will see, due to the nature of the physical domain and the conformal map involved to transform it to a more tractable domain, the use of spectral methods in both directions of our two dimensional problem proved to be inefficient due to unnecessary concentration of points in areas of the domain of low gradients. However, to take advantage of spectral methods, we combined spectral methods in one direction with high order finite vii differences on the other direction, where different mesh densities were designed to have higher concentration of points where required. With this discretizations, spectral methods were approached as the limiting order of finite differences as presented in A Practical Guide to Pseudospectral Methods We will explore the solution for flows past more general geometries, symmetric Joukowski airfoils. Then we will study the implementation and effect of suction boundary conditions on the obstacle. In this text I have decided to include part of the introduction and theoretical background shown in my Master thesis to allow new readers to get familiarized with the subject, but the solution scheme, the different discretizations and results are all new explorations that we are proud to present.
Spectral Methods In Fluid Dynamics
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Author : Claudio Canuto
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Spectral Methods In Fluid Dynamics written by Claudio Canuto 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 Science categories.
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.
