Introduction To The Numerical Analysis Of Incompressible Viscous Flows

Author : William Layton
Publisher : SIAM
ISBN 13 : 0898716578
Total Pages : 219 pages
Book Rating : 4.73/5 ( download)

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Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William Layton and published by SIAM. This book was released on 2008-12-04 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified treatment of fluid mechanics, analysis and numerical analysis appropriate for first year graduate students.

Author : William J. Layton
Publisher :
ISBN 13 : 9781680157918
Total Pages : 213 pages
Book Rating : 4.14/5 ( download)

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Download or read book Introduction to the Numerical Analysis of Incompressible Viscous Flows written by William J. Layton and published by . This book was released on 2008 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Numerical Analysis of Incompressible Viscous Flows treats the numerical analysis of finite element computational fluid dynamics. Assuming minimal background, the text covers finite element methods; the derivation, behavior, analysis, and numerical analysis of Navier-Stokes equations; and turbulence and turbulence models used in simulations. Each chapter on theory is followed by a numerical analysis chapter that expands on the theory. This book provides the foundation for understanding the interconnection of the physics, mathematics, and numerics of the incompressible case, which is essential for progressing to the more complex flows not addressed in this book (e.g., viscoelasticity, plasmas, compressible flows, coating flows, flows of mixtures of fluids, and bubbly flows). With mathematical rigor and physical clarity, the book progresses from the mathematical preliminaries of energy and stress to finite element computational fluid dynamics in a format manageable in one semester. Audience: this unified treatment of fluid mechanics, analysis, and numerical analysis is intended for graduate students in mathematics, engineering, physics, and the sciences who are interested in understanding the foundations of methods commonly used for flow simulations.

Author : Roger Peyret
Publisher : Springer Science & Business Media
ISBN 13 : 1475765576
Total Pages : 438 pages
Book Rating : 4.71/5 ( download)

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Download or read book Spectral Methods for Incompressible Viscous Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 438 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Roland Glowinski
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110785056
Total Pages : 236 pages
Book Rating : 4.50/5 ( download)

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Download or read book Numerical Simulation of Incompressible Viscous Flow written by Roland Glowinski and published by Walter de Gruyter GmbH & Co KG. This book was released on 2022-09-20 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book on finite element-based computational methods for solving incompressible viscous fluid flow problems shows readers how to apply operator splitting techniques to decouple complicated computational fluid dynamics problems into a sequence of relatively simpler sub-problems at each time step, such as hemispherical cavity flow, cavity flow of an Oldroyd-B viscoelastic flow, and particle interaction in an Oldroyd-B type viscoelastic fluid. Efficient and robust numerical methods for solving those resulting simpler sub-problems are introduced and discussed. Interesting computational results are presented to show the capability of methodologies addressed in the book.

Author : Sven Gross
Publisher : Springer Science & Business Media
ISBN 13 : 3642196861
Total Pages : 487 pages
Book Rating : 4.67/5 ( download)

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Download or read book Numerical Methods for Two-phase Incompressible Flows written by Sven Gross and published by Springer Science & Business Media. This book was released on 2011-04-26 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first monograph providing an introduction to and an overview of numerical methods for the simulation of two-phase incompressible flows. The Navier-Stokes equations describing the fluid dynamics are examined in combination with models for mass and surfactant transport. The book pursues a comprehensive approach: important modeling issues are treated, appropriate weak formulations are derived, level set and finite element discretization techniques are analyzed, efficient iterative solvers are investigated, implementational aspects are considered and the results of numerical experiments are presented. The book is aimed at M Sc and PhD students and other researchers in the fields of Numerical Analysis and Computational Engineering Science interested in the numerical treatment of two-phase incompressible flows.

Author : P.G. Ciarlet
Publisher : Elsevier Science
ISBN 13 : 9780444512246
Total Pages : 0 pages
Book Rating : 4.41/5 ( download)

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Download or read book Numerical Methods for Fluids, Part 3 written by P.G. Ciarlet and published by Elsevier Science. This book was released on 2003-07-25 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : M. M. Hafez
Publisher : World Scientific
ISBN 13 : 9812383174
Total Pages : 708 pages
Book Rating : 4.74/5 ( download)

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Download or read book Numerical Simulations of Incompressible Flows written by M. M. Hafez and published by World Scientific. This book was released on 2003 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Consists mainly of papers presented at a workshop ... held in Half Moon Bay, California, June 19-21, 2001 ... to honor Dr. Dochan Kwak on the occasion of his 60th birthday ... organized by M. Hafez of University of California Davis and Dong Ho Lee of Seoul National University"--Dedication, p. ix.

Author : National Aeronautics and Space Adm Nasa
Publisher :
ISBN 13 : 9781729110676
Total Pages : 26 pages
Book Rating : 4.73/5 ( download)

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Download or read book Numerical Methods for Incompressible Viscous Flows with Engineering Applications written by National Aeronautics and Space Adm Nasa and published by . This book was released on 2018-10-22 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt: A numerical scheme has been developed to solve the incompressible, 3-D Navier-Stokes equations using velocity-vorticity variables. This report summarizes the development of the numerical approximation schemes for the divergence and curl of the velocity vector fields and the development of compact schemes for handling boundary and initial boundary value problems. Rose, M. E. and Ash, R. L. Unspecified Center NAS1-17993...

Author : Volker John
Publisher : Springer
ISBN 13 : 3319457500
Total Pages : 812 pages
Book Rating : 4.05/5 ( download)

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Download or read book Finite Element Methods for Incompressible Flow Problems written by Volker John and published by Springer. This book was released on 2016-10-27 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores finite element methods for incompressible flow problems: Stokes equations, stationary Navier-Stokes equations and time-dependent Navier-Stokes equations. It focuses on numerical analysis, but also discusses the practical use of these methods and includes numerical illustrations. It also provides a comprehensive overview of analytical results for turbulence models. The proofs are presented step by step, allowing readers to more easily understand the analytical techniques.

Author : Roger Peyret
Publisher : Springer Science & Business Media
ISBN 13 : 3642859526
Total Pages : 364 pages
Book Rating : 4.26/5 ( download)

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Download or read book Computational Methods for Fluid Flow written by Roger Peyret and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.