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A New Method For The Solution Of The Incompressible Navier Stokes Equations
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Book Synopsis Numerical Solution of the Incompressible Navier-Stokes Equations by : L. Quartapelle
Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures. The conditions required to satisfy the no-slip boundary conditions in the various formulations are discussed in detail. Rather than focussing on a particular spatial discretization method, the text provides a unitary view of several methods currently in use for the numerical solution of incompressible Navier-Stokes equations, using either finite differences, finite elements or spectral approximations. For each formulation, a complete statement of the mathematical problem is provided, comprising the various boundary, possibly integral, and initial conditions, suitable for any theoretical and/or computational development of the governing equations. The text is suitable for courses in fluid mechanics and computational fluid dynamics. It covers that part of the subject matter dealing with the equations for incompressible viscous flows and their determination by means of numerical methods. A substantial portion of the book contains new results and unpublished material.
Book Synopsis A New Method for the Solution of the Incompressible Navier-Stokes Equations by : Hazem Said
Download or read book A New Method for the Solution of the Incompressible Navier-Stokes Equations written by Hazem Said and published by . This book was released on 2001 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Solution of the incompressible Navier-Stokes (INS) equations in primitive variables requires special care to ensure that the resulting flow field will satisfy the discrete governing equations (DGE). However, these equations are not satisfied by the existing solution methods, thus requiring the need to develop a new method. A new method is developed in this work to solve the INS equations in primitive variables. The method uses the velocity and pressure gradients as dependent variables compared to velocity and pressure that are used by all other primitive variables methods. These new dependent variables require additional constraint to be determined. The condition of irrotationality of the gradient of the pressure is employed to give the necessary equations to close the problem. Thus the flow field is represented by a new set of equations that when solved together produces a solution that satisfies the DGE. of the present method are summarized as follows: (1) it eliminates the compatability condition of the pressure equation typical of all pressure-based techniques, (2) it satisfies the discrete continuity and momentum equations. (3) Boundary conditions are physically known for all the dependent variables. (4) It eliminates the inversion of the implicit operator typical of the implicit primitive variables formulation, (5) Robust, stable and more accurate computational codes can be developed. Numerical results are obtained for the driven cavity problem, using both the explicit and the implicit forms of the method. Results are obtained for Reynolds numbers of 100, 400 and 1000. These results show that the present method produces a stable solution and that the resulting flow field does satisfy the DGE to machine zero.
Book Synopsis The Immersed Interface Method by : Zhilin Li
Download or read book The Immersed Interface Method written by Zhilin Li and published by SIAM. This book was released on 2006-01-01 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the immersed interface method (IIM), a powerful numerical method for solving interface problems and problems defined on irregular domains for which analytic solutions are rarely available. This book gives a complete description of the IIM, discusses recent progress in the area, and describes numerical methods for a number of classic interface problems. It also contains many numerical examples that can be used as benchmark problems for numerical methods designed for interface problems on irregular domains.
Book Synopsis Numerical Analysis of Spectral Methods by : David Gottlieb
Download or read book Numerical Analysis of Spectral Methods written by David Gottlieb and published by SIAM. This book was released on 1977-01-01 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified discussion of the formulation and analysis of special methods of mixed initial boundary-value problems. The focus is on the development of a new mathematical theory that explains why and how well spectral methods work. Included are interesting extensions of the classical numerical analysis.
Book Synopsis A Solution Procedure of Incompressible Navier-Stokes Equations by : Yunggui Jung
Download or read book A Solution Procedure of Incompressible Navier-Stokes Equations written by Yunggui Jung and published by . This book was released on 1988 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Localized Method of Approximate Particular Solution for Solving Incompressible Navier-stokes Equations by :
Download or read book Localized Method of Approximate Particular Solution for Solving Incompressible Navier-stokes Equations written by and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finite Element Methods for Navier-Stokes Equations by : Vivette Girault
Download or read book Finite Element Methods for Navier-Stokes Equations written by Vivette Girault and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material covered by this book has been taught by one of the authors in a post-graduate course on Numerical Analysis at the University Pierre et Marie Curie of Paris. It is an extended version of a previous text (cf. Girault & Raviart [32J) published in 1979 by Springer-Verlag in its series: Lecture Notes in Mathematics. In the last decade, many engineers and mathematicians have concentrated their efforts on the finite element solution of the Navier-Stokes equations for incompressible flows. The purpose of this book is to provide a fairly comprehen sive treatment of the most recent developments in that field. To stay within reasonable bounds, we have restricted ourselves to the case of stationary prob lems although the time-dependent problems are of fundamental importance. This topic is currently evolving rapidly and we feel that it deserves to be covered by another specialized monograph. We have tried, to the best of our ability, to present a fairly exhaustive treatment of the finite element methods for inner flows. On the other hand however, we have entirely left out the subject of exterior problems which involve radically different techniques, both from a theoretical and from a practical point of view. Also, we have neither discussed the implemen tation of the finite element methods presented by this book, nor given any explicit numerical result. This field is extensively covered by Peyret & Taylor [64J and Thomasset [82].
Book Synopsis High-Order Methods for Incompressible Fluid Flow by : M. O. Deville
Download or read book High-Order Methods for Incompressible Fluid Flow written by M. O. Deville and published by Cambridge University Press. This book was released on 2002-08-15 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations by :
Download or read book Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations written by and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Projection methods had been introduced in the late sixties by A. Chorin and R. Teman to decouple the computation of velocity and pressure within the time-stepping for solving the nonstationary Navier-Stokes equations. Despite the good performance of projection methods in practical computations, their success remained somewhat mysterious as the operator splitting implicitly introduces a nonphysical boundary condition for the pressure. The objectives of this monograph are twofold. First, a rigorous error analysis is presented for existing projection methods by means of relating them to so-called quasi-compressibility methods (e.g. penalty method, pressure stabilzation method, etc.). This approach highlights the intrinsic error mechanisms of these schemes and explains the reasons for their limitations. Then, in the second part, more sophisticated new schemes are constructed and analyzed which are exempted from most of the deficiencies of the classical projection and quasi-compressibility methods. '... this book should be mandatory reading for applied mathematicians specializing in computational fluid dynamics.' J.-L.Guermond. Mathematical Reviews, Ann Arbor
Book Synopsis Solution of the Time-dependent, Incompressible Navier-stokes Equations Va̕ a Modified Finite Elements Method by : Philip M. Gresho
Download or read book Solution of the Time-dependent, Incompressible Navier-stokes Equations Va̕ a Modified Finite Elements Method written by Philip M. Gresho and published by . This book was released on 1984 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Navier-Stokes Equations by : P. G. Drazin
Download or read book The Navier-Stokes Equations written by P. G. Drazin and published by Cambridge University Press. This book was released on 2006-05-25 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.
Book Synopsis Fundamental Directions in Mathematical Fluid Mechanics by : Giovanni P. Galdi
Download or read book Fundamental Directions in Mathematical Fluid Mechanics written by Giovanni P. Galdi and published by Birkhäuser. This book was released on 2012-12-06 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of six articles, each treating an important topic in the theory ofthe Navier-Stokes equations, at the research level. Some of the articles are mainly expository, putting together, in a unified setting, the results of recent research papers and conference lectures. Several other articles are devoted mainly to new results, but present them within a wider context and with a fuller exposition than is usual for journals. The plan to publish these articles as a book began with the lecture notes for the short courses of G.P. Galdi and R. Rannacher, given at the beginning of the International Workshop on Theoretical and Numerical Fluid Dynamics, held in Vancouver, Canada, July 27 to August 2, 1996. A renewed energy for this project came with the founding of the Journal of Mathematical Fluid Mechanics, by G.P. Galdi, J. Heywood, and R. Rannacher, in 1998. At that time it was decided that this volume should be published in association with the journal, and expanded to include articles by J. Heywood and W. Nagata, J. Heywood and M. Padula, and P. Gervasio, A. Quarteroni and F. Saleri. The original lecture notes were also revised and updated.
Book Synopsis Solution of the Steady and Unsteady Incompressible Navier-Stokes Equations Using the Finite Element Method by : O. R. Sørensen
Download or read book Solution of the Steady and Unsteady Incompressible Navier-Stokes Equations Using the Finite Element Method written by O. R. Sørensen and published by . This book was released on 1988 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Vorticity and Incompressible Flow by : Andrew J. Majda
Download or read book Vorticity and Incompressible Flow written by Andrew J. Majda and published by Cambridge University Press. This book was released on 2002 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprise a modern applied mathematics graduate course on the weak solution theory for incompressible flow.
Book Synopsis Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation by : Jennifer Samson Dacles
Download or read book Numerical Solution of Incompressible Navier-Stokes Equations Using a Velocity-vorticity Formulation written by Jennifer Samson Dacles and published by . This book was released on 1991 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi Publisher : ISBN 13 : Total Pages :14 pages Book Rating :4.:/5 (186 download)
Book Synopsis Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations by : Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi
Download or read book Explicit Numerical Methods for the Solution of the Incompressible Navier-Stokes Equations written by Kungl. Tekniska högskolan. Institutionen för numerisk analys och datalogi and published by . This book was released on 1989 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Global Spectral Methods for the Solution of the Incompressible Navier-Stokes Equations in Complex Geometries by : Paul Francis Batcho
Download or read book Global Spectral Methods for the Solution of the Incompressible Navier-Stokes Equations in Complex Geometries written by Paul Francis Batcho and published by . This book was released on 1994 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
