Resolution Des Equations De Stokes Et Navier Stokes En Domaine Variable

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Numerical Solution of the Incompressible Navier-Stokes Equations

Author : L. Quartapelle
Publisher : Birkhäuser
ISBN 13 : 3034885792
Total Pages : 296 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Numerical Solution of the Incompressible Navier-Stokes Equations by : L. Quartapelle

Download or read book Numerical Solution of the Incompressible Navier-Stokes Equations written by L. Quartapelle and published by Birkhäuser. This book was released on 2013-03-07 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 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 A substantial portion of the book contains new results and unpublished material.

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : 652 pages
Book Rating : 4.:/5 (319 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 1994 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Optimization in Solving Elliptic Problems

Author : Eugene G. D'yakonov
Publisher : CRC Press
ISBN 13 : 1351092111
Total Pages : 414 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Optimization in Solving Elliptic Problems by : Eugene G. D'yakonov

Download or read book Optimization in Solving Elliptic Problems written by Eugene G. D'yakonov and published by CRC Press. This book was released on 2018-05-04 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimization in Solving Elliptic Problems focuses on one of the most interesting and challenging problems of computational mathematics - the optimization of numerical algorithms for solving elliptic problems. It presents detailed discussions of how asymptotically optimal algorithms may be applied to elliptic problems to obtain numerical solutions meeting certain specified requirements. Beginning with an outline of the fundamental principles of numerical methods, this book describes how to construct special modifications of classical finite element methods such that for the arising grid systems, asymptotically optimal iterative methods can be applied. Optimization in Solving Elliptic Problems describes the construction of computational algorithms resulting in the required accuracy of a solution and having a pre-determined computational complexity. Construction of asymptotically optimal algorithms is demonstrated for multi-dimensional elliptic boundary value problems under general conditions. In addition, algorithms are developed for eigenvalue problems and Navier-Stokes problems. The development of these algorithms is based on detailed discussions of topics that include accuracy estimates of projective and difference methods, topologically equivalent grids and triangulations, general theorems on convergence of iterative methods, mixed finite element methods for Stokes-type problems, methods of solving fourth-order problems, and methods for solving classical elasticity problems. Furthermore, the text provides methods for managing basic iterative methods such as domain decomposition and multigrid methods. These methods, clearly developed and explained in the text, may be used to develop algorithms for solving applied elliptic problems. The mathematics necessary to understand the development of such algorithms is provided in the introductory material within the text, and common specifications of algorithms that have been developed for typical problems in mathema

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.

Navier-Stokes Equations

Author : Roger Temam
Publisher : American Mathematical Soc.
ISBN 13 : 0821827375
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Navier-Stokes Equations by : Roger Temam

Download or read book Navier-Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

The Three-Dimensional Navier-Stokes Equations

Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 1107019664
Total Pages : 487 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis The Three-Dimensional Navier-Stokes Equations by : James C. Robinson

Download or read book The Three-Dimensional Navier-Stokes Equations written by James C. Robinson and published by Cambridge University Press. This book was released on 2016-09-07 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible treatment of the main results in the mathematical theory of the Navier-Stokes equations, primarily aimed at graduate students.

Ocean Weather Forecasting

Author : Eric P. Chassignet
Publisher : Springer Science & Business Media
ISBN 13 : 9781402039812
Total Pages : 600 pages
Book Rating : 4.0/5 (398 download)

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Book Synopsis Ocean Weather Forecasting by : Eric P. Chassignet

Download or read book Ocean Weather Forecasting written by Eric P. Chassignet and published by Springer Science & Business Media. This book was released on 2006-02-02 with total page 600 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers a wide range of topics and summarizes our present knowledge in ocean modeling, ocean observing systems, and data assimilation. The Global Ocean Data Assimilation Experiment (GODAE) provides a framework for these efforts: a global system of observations, communications, modeling, and assimilation that will deliver regular, comprehensive information on the state of the oceans, engendering wide utility and availability for maximum benefit to the community.

First International Symposium on Domain Decomposition Methods for Partial Differential Equations

Author : R. Glowinski
Publisher : SIAM
ISBN 13 : 9780898712209
Total Pages : 456 pages
Book Rating : 4.7/5 (122 download)

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Book Synopsis First International Symposium on Domain Decomposition Methods for Partial Differential Equations by : R. Glowinski

Download or read book First International Symposium on Domain Decomposition Methods for Partial Differential Equations written by R. Glowinski and published by SIAM. This book was released on 1988-01-01 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Numerical methods for diffusion phenomena in building physics

Author : Nathan Mendes
Publisher : PUCPRess
ISBN 13 : 8568324886
Total Pages : 230 pages
Book Rating : 4.5/5 (683 download)

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Book Synopsis Numerical methods for diffusion phenomena in building physics by : Nathan Mendes

Download or read book Numerical methods for diffusion phenomena in building physics written by Nathan Mendes and published by PUCPRess. This book was released on 2017-05-19 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book intends to stimulate research in simulation of diff usion problems in building physics, by fi rst providing an overview of mathematical models and numerical techniques such as the fi nitediff erence and fi nite-element methods traditionally used in building simulation tools. Then, nonconventional methods such as reduced order models, boundary integral approaches and spectral methods are presented, which might be considered in the next generation of building-energy-simulation tools. The advantage of these methods includes the improvement of the numerical solution of diff usion phenomena, especially in large domains relevant to building energy performance analysis.

Simulation Applied to Manufacturing Energy and Environmental Studies and Electronics and Computer Engineering

Author : S. Tucci
Publisher :
ISBN 13 :
Total Pages : 466 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Simulation Applied to Manufacturing Energy and Environmental Studies and Electronics and Computer Engineering by : S. Tucci

Download or read book Simulation Applied to Manufacturing Energy and Environmental Studies and Electronics and Computer Engineering written by S. Tucci and published by . This book was released on 1989 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Annual Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1388 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Government Reports Annual Index by :

Download or read book Government Reports Annual Index written by and published by . This book was released on 1992 with total page 1388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Sections 1-2. Keyword Index.--Section 3. Personal author index.--Section 4. Corporate author index.-- Section 5. Contract/grant number index, NTIS order/report number index 1-E.--Section 6. NTIS order/report number index F-Z.

The Navier-Stokes Problem in the 21st Century

Author : Pierre Gilles Lemarie-Rieusset
Publisher : CRC Press
ISBN 13 : 146656623X
Total Pages : 732 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis The Navier-Stokes Problem in the 21st Century by : Pierre Gilles Lemarie-Rieusset

Download or read book The Navier-Stokes Problem in the 21st Century written by Pierre Gilles Lemarie-Rieusset and published by CRC Press. This book was released on 2016-04-06 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt: Up-to-Date Coverage of the Navier–Stokes Equation from an Expert in Harmonic Analysis The complete resolution of the Navier–Stokes equation—one of the Clay Millennium Prize Problems—remains an important open challenge in partial differential equations (PDEs) research despite substantial studies on turbulence and three-dimensional fluids. The Navier–Stokes Problem in the 21st Century provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics. The book focuses on incompressible deterministic Navier–Stokes equations in the case of a fluid filling the whole space. It explores the meaning of the equations, open problems, and recent progress. It includes classical results on local existence and studies criterion for regularity or uniqueness of solutions. The book also incorporates historical references to the (pre)history of the equations as well as recent references that highlight active mathematical research in the field.

Applied mechanics reviews

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Publisher :
ISBN 13 :
Total Pages : 400 pages
Book Rating : 4.3/5 (243 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 1948 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Mathematical Reviews

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Publisher :
ISBN 13 :
Total Pages : 1078 pages
Book Rating : 4.3/5 (91 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 1078 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government Reports Announcements & Index

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Publisher :
ISBN 13 :
Total Pages : 1168 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1993 with total page 1168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Publications Du Laboratoire D'analyse Numérique

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Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Publications Du Laboratoire D'analyse Numérique by :

Download or read book Publications Du Laboratoire D'analyse Numérique written by and published by . This book was released on 1988 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Aeronautical Engineering

Author :
Publisher :
ISBN 13 :
Total Pages : 148 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis Aeronautical Engineering by :

Download or read book Aeronautical Engineering written by and published by . This book was released on 1992 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA).