Numerical Treatment of the Navier-Stokes Equations with Slip Boundary Condition
Author: Eberhard Bänsch
Publisher:
Published: 1998
Total Pages: 20
ISBN-13:
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Author: Eberhard Bänsch
Publisher:
Published: 1998
Total Pages: 20
ISBN-13:
DOWNLOAD EBOOKAuthor: Wolfgang Hackbusch
Publisher: Springer-Verlag
Published: 2013-09-03
Total Pages: 174
ISBN-13: 3663140040
DOWNLOAD EBOOKAuthor: A. Segal
Publisher:
Published: 1991
Total Pages: 20
ISBN-13:
DOWNLOAD EBOOKAuthor: E. Krause
Publisher:
Published: 1972
Total Pages: 99
ISBN-13:
DOWNLOAD EBOOKAuthor: L. Quartapelle
Publisher: Birkhäuser
Published: 2013-03-07
Total Pages: 296
ISBN-13: 3034885792
DOWNLOAD EBOOKThis 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 A substantial portion of the book contains new results and unpublished material.
Author: Charles R. Doering
Publisher: Cambridge University Press
Published: 1995
Total Pages: 236
ISBN-13: 9780521445689
DOWNLOAD EBOOKThis introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Author: Giovanni Galdi
Publisher: Springer Science & Business Media
Published: 2011-07-12
Total Pages: 1026
ISBN-13: 0387096205
DOWNLOAD EBOOKThe 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)
Author: Rodolfo Salvi
Publisher: CRC Press
Published: 2001-09-27
Total Pages: 337
ISBN-13: 0824744896
DOWNLOAD EBOOK"Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy, surveying a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, the free boundary problem, and hydrodynamic potential theory."
Author: Ajay Kumar
Publisher:
Published: 1981
Total Pages: 22
ISBN-13:
DOWNLOAD EBOOKAuthor: Roger Temam
Publisher: Elsevier
Published: 2016-06-03
Total Pages: 539
ISBN-13: 1483256855
DOWNLOAD EBOOKNavier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.