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Implementation of Finite Element Methods for Navier-Stokes Equations, F. Thomasset


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Автор: F. Thomasset
Название:  Implementation of Finite Element Methods for Navier-Stokes Equations
ISBN: 9783642870491
Издательство: Springer
Классификация: ISBN-10: 364287049X
Обложка/Формат: Soft cover
Страницы: 164
Вес: 0.25 кг.
Дата издания: 12.12.2012
Серия: Scientific Computation
Язык: English
Размер: 234 x 156 x 9
Читательская аудитория: Science
Основная тема: Fluid- and Aerodynamics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: In structure mechanics analysis, finite element methods are now well estab- lished and well documented techniques; their advantage lies in a higher flexibility, in particular for: (i) The representation of arbitrary complicated boundaries; (ii) Systematic rules for the developments of stable numerical schemes ap- proximating mathematically wellposed problems, with various types of boundary conditions. On the other hand, compared to finite difference methods, this flexibility is paid by: an increased programming complexity; additional storage require- ment. The application of finite element methods to fluid mechanics has been lagging behind and is relatively recent for several types of reasons: (i) Historical reasons: the early methods were invented by engineers for the analysis of torsion, flexion deformation of bearns, plates, shells, etc ... (see the historics in Strang and Fix (1972) or Zienckiewicz (1977. (ii) Technical reasons: fluid flow problems present specific difficulties: strong gradients, l of the velocity or temperature for instance, may occur which a finite mesh is unable to properly represent; a remedy lies in the various upwind finite element schemes which recently turned up, and which are reviewed in chapter 2 (yet their effect is just as controversial as in finite differences). Next, waves can propagate (e.g. in ocean dynamics with shallowwaters equations) which will be falsely distorted by a finite non regular mesh, as Kreiss (1979) pointed out. We are concerned in this course with the approximation of incompressible, viscous, Newtonian fluids, i.e. governed by N avier Stokes equations.


Finite Element Approximation of the Navier-Stokes Equations

Автор: Vivette Girault; P.-A. Raviart
Название: Finite Element Approximation of the Navier-Stokes Equations
ISBN: 3540095578 ISBN-13(EAN): 9783540095576
Издательство: Springer
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Цена: 6288.00 р.
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The Navier-Stokes Equations Theory and Numerical Methods

Автор: John G. Heywood; Kyuya Masuda; Reimund Rautmann; V
Название: The Navier-Stokes Equations Theory and Numerical Methods
ISBN: 3540527702 ISBN-13(EAN): 9783540527701
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Contains articles on a wide variety of aspects of Navier-Stokes equations. This book surveys the subject via open problems and deals with the interplay between theory and numerical analysis.

Navier-Stokes-Fourier Equations

Автор: Radyadour Kh. Zeytounian
Название: Navier-Stokes-Fourier Equations
ISBN: 3642443257 ISBN-13(EAN): 9783642443251
Издательство: Springer
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Цена: 19589.00 р.
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Описание: Outlining a Navier-Stokes-Fourier modeling theory for a Newtonian fluid governing compressible viscous and heat conducting flows, this monograph deconstructs the model and illustrates the theory through various technological and geophysical problems.

The Three-Dimensional Navier–Stokes Equations

Автор: Robinson
Название: The Three-Dimensional Navier–Stokes Equations
ISBN: 1107019664 ISBN-13(EAN): 9781107019669
Издательство: Cambridge Academ
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Цена: 11246.00 р.
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Описание: A rigorous but accessible introduction to the mathematical theory of the three-dimensional Navier-Stokes equations, offering a self-contained treatment of many of the major results. Numerous exercises are provided, each with full solutions, making the book an ideal text for a graduate course of one or two semesters.

Navier—Stokes Equations and Related Nonlinear Problems

Автор: Ad?lia Sequeira
Название: Navier—Stokes Equations and Related Nonlinear Problems
ISBN: 148991417X ISBN-13(EAN): 9781489914170
Издательство: Springer
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Цена: 22203.00 р.
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Описание: This volume contains the Proceedings of the Third International Conference on Navier-Stokes Equations and Related Nonlinear Problems. In addition to the editor, the organizers were Carlos Albuquerque (FC, University of Lisbon), Casimiro Silva (University of Madeira) and Juha Videman (1ST, Technical University of Lisbon).

Finite element methods for Navier-Stokes equations : theory and algorithms

Автор: Vivette Girault; Pierre-Arnaud Raviart
Название: Finite element methods for Navier-Stokes equations : theory and algorithms
ISBN: 3642648886 ISBN-13(EAN): 9783642648885
Издательство: Springer
Цена: 11179.00 р.
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Описание: 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].

Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations

Автор: Andreas Prohl
Название: Projection and Quasi-Compressibility Methods for Solving the Incompressible Navier-Stokes Equations
ISBN: 3519027232 ISBN-13(EAN): 9783519027232
Издательство: Springer
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Цена: 9141.00 р.
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Описание: The numerical treatment of the evolutionary incompressible Navier-Stokes equations, which determine many practicaIly relevant fluid flows, is an area of considerable interest for industrial as weIl as scientific applications. Im- portant for drawing furt her conclusions for the behavior of certain flows in diverse disciplines such as (astro-)physics, engineering, meteorology, oceanog- raphy, or biology is a reliable, robust and efficient numerical model. The goal of computing highly complex flows requires the development of sophisticated algorithms. In general, numerical schemes which do not cause high computa- tional cost, often suffer from stability or reliability problems and vice versa. So, it demands a numerical and physical a-priori knowledge from the user in order to select the "best fitting algorithm" for a particular problem under consideration. The use of knowledge about physical phenomena appearing in a specific problem aIlows the relaxation of some robustness-conditions that otherwise need to be imposed on the numerical scheme in order to ensure reliability with respect to the convergence behavior. To this end, this leads to permittance of numerical models simulating continuous flows which do not satisfy severe stability restrictions that lead to robust schemes, with the advantage of lower computational costs necessary to obtain the same accu- racy. A major part of this book is devoted to such schemes that are of great importance: classical projection methods 01 high er order and nonstationary quasi-compressibility methods.

The Navier-Stokes Equations II - Theory and Numerical Methods

Автор: John G. Heywood; Kyuya Masuda; Reimund Rautmann; V
Название: The Navier-Stokes Equations II - Theory and Numerical Methods
ISBN: 3540562613 ISBN-13(EAN): 9783540562610
Издательство: Springer
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Цена: 4884.00 р.
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Описание: Tani: Evolution free boundary problemfor equations of motion of viscous compressible barotropicliquid.- W. Miyakawa:On some coerciveestimates for the Stokes problem in unbounded domains.- R. v.Wahl:Decomposition of solenoidal fields into poloidal fields,toroidal fields and the mean flow.

Numerical Solution of the Incompressible Navier-Stokes Equations

Автор: L. Quartapelle
Название: Numerical Solution of the Incompressible Navier-Stokes Equations
ISBN: 3034896891 ISBN-13(EAN): 9783034896894
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This book presents different formulations of the equations governing incompressible viscous flows, in the form needed for developing numerical solution procedures.

Turbulence and Navier Stokes Equations

Автор: R. Temam
Название: Turbulence and Navier Stokes Equations
ISBN: 3540080600 ISBN-13(EAN): 9783540080602
Издательство: Springer
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Цена: 3487.00 р.
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An Introduction to the Mathematical Theory of the Navier-Stokes Equations

Автор: Giovanni Galdi
Название: An Introduction to the Mathematical Theory of the Navier-Stokes Equations
ISBN: 1493950177 ISBN-13(EAN): 9781493950171
Издательство: Springer
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Цена: 16065.00 р.
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Описание: 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. This book is the new edition of the original two volume book, under the same title, published in 1994.

Navier-Stokes Equations in Planar Domains

Автор: Ben Artzi Matania
Название: Navier-Stokes Equations in Planar Domains
ISBN: 1848162758 ISBN-13(EAN): 9781848162754
Издательство: World Scientific Publishing
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Цена: 15840.00 р.
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Описание: Deals with the classical Navier-Stokes system of equations governing the planar flow of incompressible, viscid fluid. This book describes various aspects of the study of such flows, ranging from theoretical to numerical, including detailed accounts of classical test problems such as `driven cavity` and `double-driven cavity`.


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