The Large Flux Problem To The Navier Stokes Equations

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The Large Flux Problem to the Navier-Stokes Equations

Author : Joanna Rencławowicz
Publisher : Springer Nature
ISBN 13 : 3030323307
Total Pages : 176 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis The Large Flux Problem to the Navier-Stokes Equations by : Joanna Rencławowicz

Download or read book The Large Flux Problem to the Navier-Stokes Equations written by Joanna Rencławowicz and published by Springer Nature. This book was released on 2019-12-09 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph considers the motion of incompressible fluids described by the Navier-Stokes equations with large inflow and outflow, and proves the existence of global regular solutions without any restrictions on the magnitude of the initial velocity, the external force, or the flux. To accomplish this, some assumptions are necessary: The flux is close to homogeneous, and the initial velocity and the external force do not change too much along the axis of the cylinder. This is achieved by utilizing a sophisticated method of deriving energy type estimates for weak solutions and global estimates for regular solutions—an approach that is wholly unique within the existing literature on the Navier-Stokes equations. To demonstrate these results, three main steps are followed: first, the existence of weak solutions is shown; next, the conditions guaranteeing the regularity of weak solutions are presented; and, lastly, global regular solutions are proven. This volume is ideal for mathematicians whose work involves the Navier-Stokes equations, and, more broadly, researchers studying fluid mechanics.

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Author : Giovanni Galdi
Publisher : Springer Science & Business Media
ISBN 13 : 1475738668
Total Pages : 476 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis An Introduction to the Mathematical Theory of the Navier-Stokes Equations by : Giovanni Galdi

The Steady Navier-Stokes System

Author : Mikhail Korobkov
Publisher : Birkhäuser
ISBN 13 : 9783031508974
Total Pages : 0 pages
Book Rating : 4.5/5 (89 download)

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Book Synopsis The Steady Navier-Stokes System by : Mikhail Korobkov

Download or read book The Steady Navier-Stokes System written by Mikhail Korobkov and published by Birkhäuser. This book was released on 2024-05-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a successful solution to one of the central problems of mathematical fluid mechanics: the Leray’s problem on existence of a solution to the boundary value problem for the stationary Navier—Stokes system in bounded domains under sole condition of zero total flux. This marks the culmination of the authors' work over the past few years on this under-explored topic within the study of the Navier—Stokes equations. This book will be the first major work on the Navier—Stokes equations to explore Leray’s problem in detail. The results are presented with detailed proofs, as are the history of the problem and the previous approaches to finding a solution to it. In addition, for the reader’s convenience and for the self-sufficiency of the text, the foundations of the mathematical theory for incompressible fluid flows described by the steady state Stokes and Navier—Stokes systems are presented. For researchers in this active area, this book will be a valuable resource.

On the Exterior Stationary Problem for the Navier-Stokes Equations in Two Dimensions

Author : Donald Ray Smith
Publisher :
ISBN 13 :
Total Pages : 156 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis On the Exterior Stationary Problem for the Navier-Stokes Equations in Two Dimensions by : Donald Ray Smith

Download or read book On the Exterior Stationary Problem for the Navier-Stokes Equations in Two Dimensions written by Donald Ray Smith and published by . This book was released on 1965 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Author : G.P. Galdi
Publisher : Springer Science & Business Media
ISBN 13 : 0387941509
Total Pages : 362 pages
Book Rating : 4.3/5 (879 download)

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Book Synopsis An Introduction to the Mathematical Theory of the Navier-Stokes Equations by : G.P. Galdi

Download or read book An Introduction to the Mathematical Theory of the Navier-Stokes Equations written by G.P. Galdi and published by Springer Science & Business Media. This book was released on 1994-04-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The volumes deal with the fundamental mathematical properties of the Navier-Stokes equations, such as existence, regularity and uniqueness of solutions, and, for unbounded domains, their asymptotic behavior. The work is an up-to-date and detailed investigation of these problems for motions in domains of different types: bounded, exterior and domain with noncompact boundaries. Throughout the work, main problems which, so far, remain open are pointed out and for some of these conjectures are offered. New results are presented throughout, while several classical subjects are treated in a completely original way."--Google Book Search.

Numerical Treatment of the Navier-Stokes Equations

Author : Wolfgang Hackbusch
Publisher : Springer-Verlag
ISBN 13 : 3663140040
Total Pages : 174 pages
Book Rating : 4.6/5 (631 download)

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Book Synopsis Numerical Treatment of the Navier-Stokes Equations by : Wolfgang Hackbusch

Download or read book Numerical Treatment of the Navier-Stokes Equations written by Wolfgang Hackbusch and published by Springer-Verlag. This book was released on 2013-09-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Navier-Stokes Equations

Author : Hermann Sohr
Publisher : Springer Science & Business Media
ISBN 13 : 3034805519
Total Pages : 376 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis The Navier-Stokes Equations by : Hermann Sohr

Download or read book The Navier-Stokes Equations written by Hermann Sohr and published by Springer Science & Business Media. This book was released on 2012-12-13 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this monograph is to develop an elementary and se- containedapproachtothemathematicaltheoryofaviscousincompressible?uid n in a domain ? of the Euclidean spaceR , described by the equations of Navier- Stokes. The book is mainly directed to students familiar with basic functional analytic tools in Hilbert and Banach spaces. However, for readers’ convenience, in the ?rst two chapters we collect, without proof some fundamental properties of Sobolev spaces, distributions, operators, etc. Another important objective is to formulate the theory for a completely general domain ?. In particular, the theory applies to arbitrary unbounded, non-smooth domains. For this reason, in the nonlinear case, we have to restrict ourselves to space dimensions n=2,3 that are also most signi?cant from the physical point of view. For mathematical generality, we will develop the l- earized theory for all n? 2. Although the functional-analytic approach developed here is, in principle, known to specialists, its systematic treatment is not available, and even the diverseaspectsavailablearespreadoutintheliterature.However,theliterature is very wide, and I did not even try to include a full list of related papers, also because this could be confusing for the student. In this regard, I would like to apologize for not quoting all the works that, directly or indirectly, have inspired this monograph.

An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Author : Giovanni Galdi
Publisher : Springer Science & Business Media
ISBN 13 : 0387096205
Total Pages : 1026 pages
Book Rating : 4.3/5 (87 download)

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Book Synopsis An Introduction to the Mathematical Theory of the Navier-Stokes Equations by : Giovanni Galdi

Download or read book An Introduction to the Mathematical Theory of the Navier-Stokes Equations written by Giovanni Galdi and published by Springer Science & Business Media. This book was released on 2011-07-12 with total page 1026 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a comprehensive, detailed and self-contained treatment of the fundamental mathematical properties of boundary-value problems related to the Navier-Stokes equations. These properties include existence, uniqueness and regularity of solutions in bounded as well as unbounded domains. Whenever the domain is unbounded, the asymptotic behavior of solutions is also investigated. This book is the new edition of the original two volume book, under the same title, published in 1994. In this new edition, the two volumes have merged into one and two more chapters on steady generalized oseen flow in exterior domains and steady Navier–Stokes flow in three-dimensional exterior domains have been added. Most of the proofs given in the previous edition were also updated. An introductory first chapter describes all relevant questions treated in the book and lists and motivates a number of significant and still open questions. It is written in an expository style so as to be accessible also to non-specialists.Each chapter is preceded by a substantial, preliminary discussion of the problems treated, along with their motivation and the strategy used to solve them. Also, each chapter ends with a section dedicated to alternative approaches and procedures, as well as historical notes. The book contains more than 400 stimulating exercises, at different levels of difficulty, that will help the junior researcher and the graduate student to gradually become accustomed with the subject. Finally, the book is endowed with a vast bibliography that includes more than 500 items. Each item brings a reference to the section of the book where it is cited. The book will be useful to researchers and graduate students in mathematics in particular mathematical fluid mechanics and differential equations. Review of First Edition, First Volume: “The emphasis of this book is on an introduction to the mathematical theory of the stationary Navier-Stokes equations. It is written in the style of a textbook and is essentially self-contained. The problems are presented clearly and in an accessible manner. Every chapter begins with a good introductory discussion of the problems considered, and ends with interesting notes on different approaches developed in the literature. Further, stimulating exercises are proposed. (Mathematical Reviews, 1995)

Numerical Examination of Flux Correction for Solving the Navier-Stokes Equations on Unstructured Meshes

Author : Dalon G. Work
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (9 download)

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Book Synopsis Numerical Examination of Flux Correction for Solving the Navier-Stokes Equations on Unstructured Meshes by : Dalon G. Work

Download or read book Numerical Examination of Flux Correction for Solving the Navier-Stokes Equations on Unstructured Meshes written by Dalon G. Work and published by . This book was released on 2014 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: This work examines the feasibility of a novel high-order numerical method, which has been termed Flux Correction. It has been given this name because it \corrects" the flux terms of an established numerical method, cancelling various error terms in the fluxes and making the method higher-order. In this work, this change is made to a traditionally second-order finite volume Galerkin method. To accomplish this, higher-order gradients of solution variables, as well as gradients of the fluxes are introduced to the method. Gradients are computed using lagrange interpolations in a fashion reminiscent of Finite Element techniques. For the Euler Equations, Flux Correction is compared against Flux Reconstruction, a derivative of the high-order Discontinuous Galerkin and Spectral Dierence methods, both of which are currently popular areas of research in high-order numerical methods. Flux Correction is found to compare favorably in terms of accuracy, and exceeds expectations for convergence rates. For the full Navier-Stokes Equations, the effect of curved elements on Flux Correction are examined. Flux Correction is found to react negatively to curved elements due to the gradient procedure's poor handling of high-aspect ratio elements.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Issues in Water and Power Engineering: 2011 Edition

Author :
Publisher : ScholarlyEditions
ISBN 13 : 1464965811
Total Pages : 651 pages
Book Rating : 4.4/5 (649 download)

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Book Synopsis Issues in Water and Power Engineering: 2011 Edition by :

Download or read book Issues in Water and Power Engineering: 2011 Edition written by and published by ScholarlyEditions. This book was released on 2012-01-09 with total page 651 pages. Available in PDF, EPUB and Kindle. Book excerpt: Issues in Water and Power Engineering / 2011 Edition is a ScholarlyEditions™ eBook that delivers timely, authoritative, and comprehensive information about Water and Power Engineering. The editors have built Issues in Water and Power Engineering: 2011 Edition on the vast information databases of ScholarlyNews.™ You can expect the information about Water and Power Engineering in this eBook to be deeper than what you can access anywhere else, as well as consistently reliable, authoritative, informed, and relevant. The content of Issues in Water and Power Engineering: 2011 Edition has been produced by the world’s leading scientists, engineers, analysts, research institutions, and companies. All of the content is from peer-reviewed sources, and all of it is written, assembled, and edited by the editors at ScholarlyEditions™ and available exclusively from us. You now have a source you can cite with authority, confidence, and credibility. More information is available at http://www.ScholarlyEditions.com/.

Applied Mechanics Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 568 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1972 with total page 568 pages. Available in PDF, EPUB and Kindle. Book excerpt:

NASA Technical Memorandum

Author :
Publisher :
ISBN 13 :
Total Pages : 492 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis NASA Technical Memorandum by :

Download or read book NASA Technical Memorandum written by and published by . This book was released on 1994 with total page 492 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Flux-Corrected Transport

Author : Dmitri Kuzmin
Publisher : Springer
ISBN 13 : 9789400797291
Total Pages : 0 pages
Book Rating : 4.7/5 (972 download)

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Book Synopsis Flux-Corrected Transport by : Dmitri Kuzmin

Download or read book Flux-Corrected Transport written by Dmitri Kuzmin and published by Springer. This book was released on 2014-05-09 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.

Flux-Corrected Transport

Author : Dmitri Kuzmin
Publisher : Springer Science & Business Media
ISBN 13 : 9400740379
Total Pages : 462 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Flux-Corrected Transport by : Dmitri Kuzmin

Download or read book Flux-Corrected Transport written by Dmitri Kuzmin and published by Springer Science & Business Media. This book was released on 2012-04-02 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing students and researchers as well as Computational Fluid Dynamics practitioners, this book is the most comprehensive review of high-resolution schemes based on the principle of Flux-Corrected Transport (FCT). The foreword by J.P. Boris and historical note by D.L. Book describe the development of the classical FCT methodology for convection-dominated transport problems, while the design philosophy behind modern FCT schemes is explained by S.T. Zalesak. The subsequent chapters present various improvements and generalizations proposed over the past three decades. In this new edition, recent results are integrated into existing chapters in order to describe significant advances since the publication of the first edition. Also, 3 new chapters were added in order to cover the following topics: algebraic flux correction for finite elements, iterative and linearized FCT schemes, TVD-like flux limiters, acceleration of explicit and implicit solvers, mesh adaptation, failsafe limiting for systems of conservation laws, flux-corrected interpolation (remapping), positivity preservation in RANS turbulence models, and the use of FCT as an implicit subgrid scale model for large eddy simulations.

Open-channel Flow Through Simulated Vegetation

Author : Fabian Lopez
Publisher :
ISBN 13 :
Total Pages : 128 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Open-channel Flow Through Simulated Vegetation by : Fabian Lopez

Download or read book Open-channel Flow Through Simulated Vegetation written by Fabian Lopez and published by . This book was released on 1997 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Monthly Catalog of United States Government Publications

Author : United States. Superintendent of Documents
Publisher :
ISBN 13 :
Total Pages : 1426 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Monthly Catalog of United States Government Publications by : United States. Superintendent of Documents

Download or read book Monthly Catalog of United States Government Publications written by United States. Superintendent of Documents and published by . This book was released on 1985 with total page 1426 pages. Available in PDF, EPUB and Kindle. Book excerpt: February issue includes Appendix entitled Directory of United States Government periodicals and subscription publications; September issue includes List of depository libraries; June and December issues include semiannual index