The Large Flux Problem to the Navier-Stokes Equations

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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

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Author :
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.

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

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Author :
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

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 2013-03-14 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undoubtedly, the Navier-Stokes equations are of basic importance within the context of modern theory of partial differential equations. Although the range of their applicability to concrete problems has now been clearly recognised to be limited, as my dear friend and bright colleague K.R. Ra jagopal has showed me by several examples during the past six years, the mathematical questions that remain open are of such a fascinating and challenging nature that analysts and applied mathematicians cannot help being attracted by them and trying to contribute to their resolution. Thus, it is not a coincidence that over the past ten years more than seventy sig nificant research papers have appeared concerning the well-posedness of boundary and initial-boundary value problems. In this monograph I shall perform a systematic and up-to-date investiga tion of the fundamental properties of the Navier-Stokes equations, including existence, uniqueness, and regularity of solutions and, whenever the region of flow is unbounded, of their spatial asymptotic behavior. I shall omit other relevant topics like boundary layer theory, stability, bifurcation, de tailed analysis of the behavior for large times, and free-boundary problems, which are to be considered "advanced" ones. In this sense the present work should be regarded as "introductory" to the matter.

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

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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)

Scientific and Technical Aerospace Reports

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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:

The Steady Navier-Stokes System

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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.

Numerical Treatment of the Navier-Stokes Equations

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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:

Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012

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Publisher : Springer Science & Business Media
ISBN 13 : 3319016016
Total Pages : 421 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 by : Mejdi Azaïez

Download or read book Spectral and High Order Methods for Partial Differential Equations - ICOSAHOM 2012 written by Mejdi Azaïez and published by Springer Science & Business Media. This book was released on 2013-11-19 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book contains a selection of high quality papers, chosen among the best presentations during the International Conference on Spectral and High-Order Methods (2012), and provides an overview of the depth and breath of the activities within this important research area. The carefully reviewed selection of the papers will provide the reader with a snapshot of state-of-the-art and help initiate new research directions through the extensive bibliography. ​

Hypersonic Flows for Reentry Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 3642765270
Total Pages : 1231 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Hypersonic Flows for Reentry Problems by : Jean-Antoine Desideri

Download or read book Hypersonic Flows for Reentry Problems written by Jean-Antoine Desideri and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 1231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This entry describes the experimental work conducted in the Department of Aeronautics at Imperial College in connection with Test Problems 1 and 2 of the "Workshop on Hypersonic Flows for Reentry Problems, Part I". These are defined as follows: Test Problem 1 Flow Over a Slender Cone Test Problem 2 Turbulent Base Flow The main requirement of this text is to present the experimental data for direct comparison with the predictions of CFD codes. We have therefore concentrated mainly on a factual statement of measuring techniques and results, together with an assessment of experimental accuracy. Future publications will be devoted to more extensive physical interpretations and discussions of the results. We have produced a large volume of data, some of which were categorised as "MANDATORY" and some as "OPTIONAL" for the purposes of CFD validation. However, only the "MANDATORY" data are presented here, although the other data are available and will be published separately later. 2. EXPERIMENTAL ARRANGEMENT 2. 1 The Test Facility The experiments were conducted in the Imperial College No. 2 Gun tunnel. This facility is a conventional intermittent blowdown tunnel with a contoured Mach 9 (nominal) axisymmetric nozzle fed by a free piston compression heater. The operating condition under which the data contained in this report were obtained is presented in Table 1. Test 2 T (oK) M b. Mlm Po (N/m ) Re/m T (oK) IX) IX) Case IX) w 1. 1 7 7 +0. 14 9. 16 6. 67x10 5. 5xl0 59.

An Examination of Several High Resolution Schemes Applied to Complex Problems in High Speed Flows

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Publisher :
ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis An Examination of Several High Resolution Schemes Applied to Complex Problems in High Speed Flows by : Norbert Kroll

Download or read book An Examination of Several High Resolution Schemes Applied to Complex Problems in High Speed Flows written by Norbert Kroll and published by . This book was released on 1992 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comparative study of five upwind schemes was performed to evaluate their ability accurately model the convective fluxes of the Euler equations for problems containing complex shock structure. The schemes investigated used a variety of Reimann solvers and obtained higher order accuracy using either a MUSCL or non-MUSCL approach. The MUSCL-type schemes included the flux vector split formulations of Steiger-Warming and van Leer and the flux difference split approach of Roe. The Non-MUSCL schemes included the Symmetric and Upwind TVD methods of Yee, and Harten and Yee. Two central difference schemes provide a basis for the evaluation of these upwind methods. The comparison was performed using identical meshes and convergence criteria. In a supersonic blunt body flow, all the upwind schemes displayed comparably resolved bow shocks, independent of free stream Mach number. However, a complex type IV shock on cowl lip example pointed out significant difference in the accuracy and convergence behavior of the schemes. A comparison of the flow structure shown by the various algorithms on identical grids indicated that the discrete solutions obtained with Upwind TVD and Roe flux difference splitting were the least diffusive of the upwind methods considered.

Flux-Corrected Transport

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Publisher : Springer Science & Business Media
ISBN 13 : 3540272062
Total Pages : 312 pages
Book Rating : 4.5/5 (42 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 2006-01-27 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Addressing students and researchers as well as CFD practitioners, this book describes the state of the art in the development of high-resolution schemes based on the Flux-Corrected Transport (FCT) paradigm. Intended for readers who have a solid background in computational fluid dynamics, the book begins with historical notes by J.P. Boris and D.L. Book. Review articles that follow describe recent advances in the design of FCT algorithms as well as various algorithmic aspects. The topics addressed in the book and its main highlights include: the derivation and analysis of classical FCT schemes, with special emphasis on the underlying physical and mathematical constraints; flux limiting for hyperbolic systems; generalization of FCT to implicit time-stepping and finite element discretizations on unstructured meshes and its role as a subgrid scale model for Monotonically Integrated Large Eddy Simulation (MILES) of turbulent flows. The proposed enhancements of the FCT methodology also comprise the prelimiting and 'failsafe' adjustment of antidiffusive fluxes, the use of characteristic variables, and iterative flux correction. The cause and cure of detrimental clipping/terracing effects are discussed. Many numerical examples are presented for academic test problems and large-scale applications alike.

Flux-Corrected Transport

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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.

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

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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:

Los Alamos Science

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Publisher :
ISBN 13 :
Total Pages : 220 pages
Book Rating : 4.3/5 (243 download)

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Book Synopsis Los Alamos Science by :

Download or read book Los Alamos Science written by and published by . This book was released on 2005 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computational Methods and Experimental Measurements XVI

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Publisher : WIT Press
ISBN 13 : 1845647327
Total Pages : 497 pages
Book Rating : 4.8/5 (456 download)

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Book Synopsis Computational Methods and Experimental Measurements XVI by : G. M. Carlomagno

Download or read book Computational Methods and Experimental Measurements XVI written by G. M. Carlomagno and published by WIT Press. This book was released on 2013-07-02 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the results of the sixteenth in a biennial series of meetings organised by the Wessex Institute of Technology to facilitate that communication between scientists who perform experiments, researchers who develop computer codes, and those who carry out measurements on prototypes. The conference was first held in 1984. While computer models are now more reliable and better able to represent more realistic problems, experimental measurements need to be conditioned to the requirements of the computational models. Progress of engineering sciences depends on the orderly and progressive concurrent development of all three fields.The papers contained in the book cover such topics as: Computational and experimental methods; Computer interaction and control of experiments; Fluid flow; Structural and stress analysis; Computer methods; Materials characterization; Heat transfer and thermal processes; Data acquisition and signal processing; Advances in measurements and data acquisition; Multiscale modelling; Industrial applications.

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1804 pages
Book Rating : 4.X/5 (6 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2004 with total page 1804 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Handbook of Numerical Methods for Hyperbolic Problems

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Publisher : Elsevier
ISBN 13 : 044463911X
Total Pages : 610 pages
Book Rating : 4.4/5 (446 download)

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Book Synopsis Handbook of Numerical Methods for Hyperbolic Problems by : Remi Abgrall

Download or read book Handbook of Numerical Methods for Hyperbolic Problems written by Remi Abgrall and published by Elsevier. This book was released on 2017-01-16 with total page 610 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook on Numerical Methods for Hyperbolic Problems: Applied and Modern Issues details the large amount of literature in the design, analysis, and application of various numerical algorithms for solving hyperbolic equations that has been produced in the last several decades. This volume provides concise summaries from experts in different types of algorithms, so that readers can find a variety of algorithms under different situations and become familiar with their relative advantages and limitations. Provides detailed, cutting-edge background explanations of existing algorithms and their analysis Presents a method of different algorithms for specific applications and the relative advantages and limitations of different algorithms for engineers or those involved in applications Written by leading subject experts in each field, the volumes provide breadth and depth of content coverage