Author: Brigitte Métivet
Publisher:
ISBN:
Category :
Languages : en
Pages : 292
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Book Description
Dans ce mémoire, nous proposons une méthode spectrale de résolution des équations de Navier-Stokes, pour des fluides visqueux incompressibles , dans le cas de conditions aux limites non périodiques et de géométries tridimensionnelles complexes. Nous traitons donc théoriquement et numériquement les deux sujets suivants : - Discrétisation du problème :le schéma est de différences finies en temps et de collocation en espace. Les espaces discrets de vitesse et de pression satisfont la condition inf-sup. prise en compte de la géométrie : le domaine de résolution est découpé en sous-domaines en bijection avec un cube; la méthode de raccord s'inspire de l'algorithme de Schwarz.
Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3540307281
Category : Mathematics
Languages : en
Pages : 616
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Book Description
Following up the seminal Spectral Methods in Fluid Dynamics, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics contains an extensive survey of the essential algorithmic and theoretical aspects of spectral methods for complex geometries. These types of spectral methods were only just emerging at the time the earlier book was published. The discussion of spectral algorithms for linear and nonlinear fluid dynamics stability analyses is greatly expanded. The chapter on spectral algorithms for incompressible flow focuses on algorithms that have proven most useful in practice, has much greater coverage of algorithms for two or more non-periodic directions, and shows how to treat outflow boundaries. Material on spectral methods for compressible flow emphasizes boundary conditions for hyperbolic systems, algorithms for simulation of homogeneous turbulence, and improved methods for shock fitting. This book is a companion to Spectral Methods: Fundamentals in Single Domains.
Author: Claudio Canuto
Publisher: Springer Science & Business Media
ISBN: 3642841082
Category : Science
Languages : en
Pages : 582
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Book Description
This is a book about spectral methods for partial differential equations: when to use them, how to implement them, and what can be learned from their of spectral methods has evolved rigorous theory. The computational side vigorously since the early 1970s, especially in computationally intensive of the more spectacular applications are applications in fluid dynamics. Some of the power of these discussed here, first in general terms as examples of the methods have been methods and later in great detail after the specifics covered. This book pays special attention to those algorithmic details which are essential to successful implementation of spectral methods. The focus is on algorithms for fluid dynamical problems in transition, turbulence, and aero dynamics. This book does not address specific applications in meteorology, partly because of the lack of experience of the authors in this field and partly because of the coverage provided by Haltiner and Williams (1980). The success of spectral methods in practical computations has led to an increasing interest in their theoretical aspects, especially since the mid-1970s. Although the theory does not yet cover the complete spectrum of applications, the analytical techniques which have been developed in recent years have facilitated the examination of an increasing number of problems of practical interest. In this book we present a unified theory of the mathematical analysis of spectral methods and apply it to many of the algorithms in current use.
Author: Yves Marion
Publisher:
ISBN:
Category :
Languages : fr
Pages : 140
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Book Description
ON PRESENTE UNE TECHNIQUE DE PARTITION EN SOUS DOMAINES QU'ON APPLIQUE AUX EQUATIONS DE NAVIER-STOKES BIDIMENSIONNELLES. DANS CHAQUE SOUS-DOMAINE, LES EQUATIONS DE NAVIER-STOKES INCOMPRESSIBLES EXPRIMEES EN VARIABLES PRIMAIRES VITESSE-PRESSION SONT RESOLUES. LA TRACE DE LA PRESSION SUR LA FRONTIERE DU DOMAINE DE CALCUL EST CALCULEE A L'AIDE D'UNE TECHNIQUE DE MATRICE D'INFLUENCE. APPLICATION A UN ECOULEMENT EN CAVITE REGULARISEE ET A L'ECOULEMENT LAMINAIRE DANS UN CANAL DERRIERE UNE MARCHE POUR DES NOMBRES DE REYNOLDS MODERES
Author: C. Canuto
Publisher: North Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 532
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Book Description
In the last decade high order methods for scientific computing have been attracting increasing interest. This trend has been generated by the need for a higher accuracy in the numerical simulation of more and more complex scientific and technological problems; it is backed up by sound mathematical research, and propelled by the availability of faster supercomputers. Spectral methods have now become the methods preferred in the prediction of many highly structured phenomena. The h-p version of the finite element method has proven extremely effective in handling singularities in structural mechanics. Finite differences have been demonstrated capable of blending flexibility and accuracy in applications to non-smooth problems. Although these and other high order methods originated from different, sometimes even opposite philosophies, they exhibit common features, and share a large part of the methodologies for their mathematical investigation and their algorithmic implementation. The technical content of the 14 invited and 30 general papers presented in this volume reflect the high standard of current research being achieved in this field.
Author: C. Canuto
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 592
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Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 296
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Author: Society for Industrial and Applied Mathematics
Publisher:
ISBN:
Category : Numerical analysis
Languages : en
Pages : 692
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Author: Institute for Computer Applications in Science and Engineering
Publisher:
ISBN:
Category :
Languages : en
Pages : 28
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 460
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