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Author : Kai Schneider
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (758 download)
Download or read book Approximation par ondelettes en mécanique des fluides numériques written by Kai Schneider and published by . This book was released on 1999 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carlos Pares Madronal
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (49 download)
Download or read book Etude mathématique et approximation numérique de quelques problèmes aux limites de la mécanique des fluides incompressibles written by Carlos Pares Madronal and published by . This book was released on 1991 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Le but de ce travail est l'analyse mathématique et l'approximation numérique d'un systeme d'équations aux dérivées partielles provenant de la mécanique des fluides incompressibles. Il s'agit du systeme qui gouverne l'évolution de la vitesse et la pression moyennes d'un écoulement turbulent où l'on utilise le modèle de turbulence de Smagorinsky avec des conditions aux limites simulant la couche limite. Dans la première partie on presente quelques résultats sur l'existence, unicité et régularité de solution du systeme. Dans la deuxième partie on décrit et on analyse un schéma de résolution numérique utilisant la méthode des caractéristiques et une méthode d'éléments finis mixtes. Finalement, dans la troisième partie, on discute les détails de l'implémentation du schéma et on montre quelques résultats numériques
Author : François Dubois
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (8 download)
Download or read book Sur l'approximation numérique de quelques problèmes en mécanique des fluides written by François Dubois and published by . This book was released on 1992 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marco Cannone
Publisher : Diderot Editeur Arts Sciences
ISBN 13 :
Total Pages : 214 pages
Book Rating : 4.E/5 ( download)
Download or read book Ondelettes, paraproduits et Navier-Stokes written by Marco Cannone and published by Diderot Editeur Arts Sciences. This book was released on 1995 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les équations de Navier-Stockes représentent un des modèles les plus simples de la mécanique des fluides et suscitent, depuis plus d'un siècle, l'intérêt des mathématiciens et des physiciens pour l'étude de problèmes issus de la météorologie, de l'astrophysique, de l'aéronautique, de la thermodynamique, ou de la physique des plasmas. Avec cet ouvrage, Marco Cannone apporte une contribution majeure à l'étude mathématique de ces équations. Un des résultats décisifs mis en évidence par l'auteur est le fait que des oscillations rapides dans la donnée initiale conduisent toujours à une solution globale régulière des équations de Navier-Stokes. La construction de solutions autosimilaires constitue un autre aspect profondément novateur de cet ouvrage et devrait permettre d'éclairer de nombreux axes de recherche.
Author : Fabienne Bezard
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (494 download)
Download or read book Approximation numerique de problemes d'interfaces en mecanique des fluides written by Fabienne Bezard and published by . This book was released on 1998 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hammou El-Otmany
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (932 download)
Download or read book Approximation par la méthode NXFEM des problèmes d'interface et d'interphase dans la mécanique des fluides written by Hammou El-Otmany and published by . This book was released on 2015 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: La modélisation et la simulation numérique des interfaces sont au coeur de nombreuses applications en mécanique des fluides et des solides, telles que la biologie cellulaire (déformation des globules rouges dans le sang), l'ingénierie pétrolière et la sismique (modélisation de réservoirs, présence de failles, propagation des ondes), l'aérospatiale (problème de rupture, de chocs) ou encore le génie civil. Cette thèse porte sur l'approximation des problèmes d'interface et d'interphase en mécanique des fluides par la méthode NXFEM, qui permet de prendre en compte de façon précise une discontinuité non alignée avec le maillage. Nous nous sommes d'abord intéressés au développement de la méthode NXFEM pour des éléments finis non-conformes pour prendre en compte une interface séparant deux milieux. Nous avons proposé deux approches pour les équations de Darcy et de Stokes. La première consiste à modifier les fonctions de base de Crouzeix-Raviart sur les cellules coupées et la deuxième consiste à rajouter des termes de stabilisation sur les arêtes coupées. Les résultats théoriques obtenus ont été ensuite validés numériquement. Par la suite, nous avons étudié la modélisation asymptotique et l'approximation numérique des problèmes d'interphase, faisant apparaître une couche mince. Nous avons considéré d'abord les équations de Darcy en présence d'une faille et, en passant à la limite dans la formulation faible, nous avons obtenu un modèle asymptotique où la faille est décrite par une interface, avec des conditions de transmission adéquates. Pour ce problème limite, nous avons développé une méthode numérique basée sur NXFEM avec éléments finis conformes, consistante et stable. Des tests numériques, incluant une comparaison avec la littérature, ont été réalisés. La modélisation asymptotique a été étendue aux équations de Stokes, pour lesquelles nous avons justifié le modèle limite obtenu. Enfin, nous nous sommes intéressés à la modélisation de la membrane d'un globule rouge par un fluide non-newtonien viscoélastique de Giesekus, afin d'appréhender la rhéologie du sang. Pour un problème d'interphase composé de deux fluides newtoniens (l'extérieur et l'intérieur du globule) et d'un liquide de Giesekus (la membrane du globule), nous avons dérivé formellement le problème limite, dans lequel les équations dans la membrane sont remplacées par des conditions de transmission sur une interface.
Author : Christian Prax
Publisher :
ISBN 13 :
Total Pages : 215 pages
Book Rating : 4.:/5 (489 download)
Download or read book Contribution à la résolution numérique de problèmes de mécanique des fluides et de thermique par approximation diffuse written by Christian Prax and published by . This book was released on 1996 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: LE TRAVAIL PRESENTE ICI ENTRE DANS LE CADRE GENERAL DU DEVELOPPEMENT DE METHODES NUMERIQUES PERFORMANTES POUR LA RESOLUTION DES PROBLEMES DE THERMIQUE ET D'ECOULEMENTS EN GEOMETRIES COMPLEXES. NOUS AVONS CHOISI POUR CELA D'UTILISER L'APPROXIMATION DIFFUSE QUI EST UNE TECHNIQUE PERMETTANT D'ESTIMER LES DERIVEES D'UN CHAMP A PARTIR DE SES VALEURS AUX NUDS D'UN NUAGE DE POINTS. SON AVANTAGE PRINCIPAL RESIDE DANS LE FAIT QU'ELLE NE NECESSITE PAS DE MAILLAGES EN ELEMENTS FINIS GEOMETRIQUES. A L'HEURE ACTUELLE, IL N'EXISTE PAS DE TRAVAUX UTILISANT CETTE APPROXIMATION POUR LA RESOLUTION DES EQUATIONS QUI REGISSENT LES ECOULEMENTS. L'UN DE NOS OBJECTIFS EST DONC DE MONTRER QU'UNE TELLE APPROCHE PEUT ETRE SUIVIE. POUR CELA NOUS AVONS UTILISE L'APPROXIMATION DIFFUSE COMME UNE METHODE DE DIFFERENCES FINIES GENERALISEES. AFIN DE CERNER LA PRECISION DE CETTE METHODE, UNE COMPARAISON SYSTEMATIQUE EST EFFECTUEE AVEC UNE METHODE AUX ELEMENTS FINIS. LA MISE EN UVRE D'UNE METHODE DE COLLOCATION A L'ORDRE DEUX UTILISANT L'APPROXIMATION DIFFUSE EST D'ABORD EXPLICITEE SUR LES PROBLEMES DE CONDUCTION EN REGIME STATIONNAIRE INSTATIONNAIRE, BIDIMENSIONNEL ET TRIDIMENSIONNEL. LA RESOLUTION DES EQUATIONS DE LA CONVECTION NATURELLE ET FORCEE DANS LA FORMULATION FONCTION DE COURANT-VORTICITE EST ENSUITE ABORDEE. DES EXEMPLES SUR DES CAS ACADEMIQUES NOUS PERMETTENT ALORS DE MONTRER LES QUALITES ET LA PRECISION DE CETTE METHODE. LA DERNIERE PARTIE DU MANUSCRIT PRESENTE ENFIN QUELQUES TYPES DE PROBLEMES OU LES PARTICULARITES DE L'APPROXIMATION DIFFUSE DEVRAIENT LUI PERMETTRE DE SE MONTRER PARTICULIEREMENT PERFORMANTE EN GEOMETRIES COMPLEXES. ON Y TRAITE DE LA PRISE EN COMPTE DE LA COUCHE LIMITE PAR RAFFINEMENT DE MAILLAGE. UN PROBLEME DIFFUSIF POSSEDANT UNE ZONE A FORT GRADIENT, NON CONNUE A PRIORI, EST ENSUITE RESOLU GRACE A L'ESTIMATION DES DERIVEES SUR UN PREMIER MAILLAGE LACHE ET A DES OPERATIONS SUCCESSIVES DE RAFFINEMENT DU NUAGE DE POINTS. NOUS AVONS D'AUTRE PART VERIFIE LA POSSIBILITE DE REALISER LES OPERATIONS DE PROLONGATION POUR LES TECHNIQUES MULTIGRILLES EN GEOMETRIES COMPLEXES EN UTILISANT UNE INTERPOLATION BASEE SUR L'APPROXIMATION DIFFUSE. ENFIN, UN DERNIER CAS EVOQUE DE FACON SCHEMATIQUE LES DIFFICULTES RENCONTREES PAR LES TECHNIQUES AUX ELEMENTS FINIS POUR TRAITER LES PROBLEMES DES FRONTIERES MOBILES. POUR CE DERNIER TYPE DE PROBLEME, LA POSSIBILITE QU'OFFRE L'APPROXIMATION DIFFUSE DE SE PASSER D'ELEMENTS GEOMETRIQUES SEMBLE ETRE UN ATOUT INCONTESTABLE
Author : J.T. Beale
Publisher : Springer Science & Business Media
ISBN 13 : 9401581371
Total Pages : 385 pages
Book Rating : 4.4/5 (15 download)
Download or read book Vortex Flows and Related Numerical Methods written by J.T. Beale and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many important phenomena in fluid motion are evident in vortex flow, i.e., flows in which vortical structures are significant in determining the whole flow. This book, which consists of lectures given at a NATO ARW held in Grenoble (France) in June 1992, provides an up-to-date account of current research in the study of these phenomena by means of numerical methods and mathematical modelling. Such methods include Eulerian methods (finite difference, spectral and wavelet methods) as well as Lagrangian methods (contour dynamics, vortex methods) and are used to study such topics as 2- or 3-dimensional turbulence, vorticity generation by solid bodies, shear layers and vortex sheets, and vortex reconnection. For researchers and graduate students in computational fluid dynamics, numerical analysis, and applied mathematics.
Author : Peter Constantin
Publisher : Springer
ISBN 13 : 3540324542
Total Pages : 265 pages
Book Rating : 4.5/5 (43 download)
Download or read book Mathematical Foundation of Turbulent Viscous Flows written by Peter Constantin and published by Springer. This book was released on 2005-11-24 with total page 265 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.
Author : Björn Engquist
Publisher : Springer Science & Business Media
ISBN 13 : 3540888578
Total Pages : 332 pages
Book Rating : 4.5/5 (48 download)
Download or read book Multiscale Modeling and Simulation in Science written by Björn Engquist and published by Springer Science & Business Media. This book was released on 2009-02-11 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: Most problems in science involve many scales in time and space. An example is turbulent ?ow where the important large scale quantities of lift and drag of a wing depend on the behavior of the small vortices in the boundarylayer. Another example is chemical reactions with concentrations of the species varying over seconds and hours while the time scale of the oscillations of the chemical bonds is of the order of femtoseconds. A third example from structural mechanics is the stress and strain in a solid beam which is well described by macroscopic equations but at the tip of a crack modeling details on a microscale are needed. A common dif?culty with the simulation of these problems and many others in physics, chemistry and biology is that an attempt to represent all scales will lead to an enormous computational problem with unacceptably long computation times and large memory requirements. On the other hand, if the discretization at a coarse level ignoresthe?nescale informationthenthesolutionwillnotbephysicallymeaningful. The in?uence of the ?ne scales must be incorporated into the model. This volume is the result of a Summer School on Multiscale Modeling and S- ulation in Science held at Boso ¤n, Lidingo ¤ outside Stockholm, Sweden, in June 2007. Sixty PhD students from applied mathematics, the sciences and engineering parti- pated in the summer school.
Author :
Publisher : Lulu.com
ISBN 13 : 1430318678
Total Pages : 385 pages
Book Rating : 4.4/5 (33 download)
Download or read book African Doctorates in Mathematics written by and published by Lulu.com. This book was released on 2007 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Author : Mohamed Haddar
Publisher : Springer
ISBN 13 : 9783319384252
Total Pages : 0 pages
Book Rating : 4.3/5 (842 download)
Download or read book Multiphysics Modelling and Simulation for Systems Design and Monitoring written by Mohamed Haddar and published by Springer. This book was released on 2016-10-08 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reports on the state of the art in the field of multiphysics systems. It consists of accurately reviewed contributions to the MMSSD’2014 conference, which was held from December 17 to 19, 2004 in Hammamet, Tunisia. The different chapters, covering new theories, methods and a number of case studies, provide readers with an up-to-date picture of multiphysics modeling and simulation. They highlight the role played by high-performance computing and newly available software in promoting the study of multiphysics coupling effects, and show how these technologies can be practically implemented to bring about significant improvements in the field of design, control and monitoring of machines. In addition to providing a detailed description of the methods and their applications, the book also identifies new research issues, challenges and opportunities, thus providing researchers and practitioners with both technical information to support their daily work and a new source of inspiration for their future research.
Author : Claude Cohen-Tannoudji
Publisher : John Wiley & Sons
ISBN 13 : 3527345558
Total Pages : 790 pages
Book Rating : 4.5/5 (273 download)
Download or read book Quantum Mechanics, Volume 3 written by Claude Cohen-Tannoudji and published by John Wiley & Sons. This book was released on 2019-12-16 with total page 790 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new, third volume of Cohen-Tannoudji's groundbreaking textbook covers advanced topics of quantum mechanics such as uncorrelated and correlated identical particles, the quantum theory of the electromagnetic field, absorption, emission and scattering of photons by atoms, and quantum entanglement. Written in a didactically unrivalled manner, the textbook explains the fundamental concepts in seven chapters which are elaborated in accompanying complements that provide more detailed discussions, examples and applications. * Completing the success story: the third and final volume of the quantum mechanics textbook written by 1997 Nobel laureate Claude Cohen-Tannoudji and his colleagues Bernard Diu and Franck Laloë * As easily comprehensible as possible: all steps of the physical background and its mathematical representation are spelled out explicitly * Comprehensive: in addition to the fundamentals themselves, the books comes with a wealth of elaborately explained examples and applications Claude Cohen-Tannoudji was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris where he also studied and received his PhD in 1962. In 1973 he became Professor of atomic and molecular physics at the Collège des France. His main research interests were optical pumping, quantum optics and atom-photon interactions. In 1997, Claude Cohen-Tannoudji, together with Steven Chu and William D. Phillips, was awarded the Nobel Prize in Physics for his research on laser cooling and trapping of neutral atoms. Bernard Diu was Professor at the Denis Diderot University (Paris VII). He was engaged in research at the Laboratory of Theoretical Physics and High Energy where his focus was on strong interactions physics and statistical mechanics. Franck Laloë was a researcher at the Kastler-Brossel laboratory of the Ecole Normale Supérieure in Paris. His first assignment was with the University of Paris VI before he was appointed to the CNRS, the French National Research Center. His research was focused on optical pumping, statistical mechanics of quantum gases, musical acoustics and the foundations of quantum mechanics.
Author : S.D. Chatterji
Publisher : Birkhäuser
ISBN 13 : 3034890788
Total Pages : 1669 pages
Book Rating : 4.0/5 (348 download)
Download or read book Proceedings of the International Congress of Mathematicians written by S.D. Chatterji and published by Birkhäuser. This book was released on 2012-12-06 with total page 1669 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the first ICM was held in Zürich in 1897, it has become the pinnacle of mathematical gatherings. It aims at giving an overview of the current state of different branches of mathematics and its applications as well as an insight into the treatment of special problems of exceptional importance. The proceedings of the ICMs have provided a rich chronology of mathematical development in all its branches and a unique documentation of contemporary research. They form an indispensable part of every mathematical library. The Proceedings of the International Congress of Mathematicians 1994, held in Zürich from August 3rd to 11th, 1994, are published in two volumes. Volume I contains an account of the organization of the Congress, the list of ordinary members, the reports on the work of the Fields Medalists and the Nevanlinna Prize Winner, the plenary one-hour addresses, and the invited addresses presented at Section Meetings 1 - 6. Volume II contains the invited address for Section Meetings 7 - 19. A complete author index is included in both volumes. '...the content of these impressive two volumes sheds a certain light on the present state of mathematical sciences and anybody doing research in mathematics should look carefully at these Proceedings. For young people beginning research, this is even more important, so these are a must for any serious mathematics library. The graphical presentation is, as always with Birkhäuser, excellent....' (Revue Roumaine de Mathematiques pures et Appliquées)
Author : Thierry Bourbié
Publisher : Editions TECHNIP
ISBN 13 : 9782710805168
Total Pages : 366 pages
Book Rating : 4.8/5 (51 download)
Download or read book Acoustics of Porous Media written by Thierry Bourbié and published by Editions TECHNIP. This book was released on 1987 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Michel Misiti
Publisher : John Wiley & Sons
ISBN 13 : 1118613597
Total Pages : 270 pages
Book Rating : 4.1/5 (186 download)
Download or read book Wavelets and their Applications written by Michel Misiti and published by John Wiley & Sons. This book was released on 2013-03-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last 15 years have seen an explosion of interest in wavelets with applications in fields such as image compression, turbulence, human vision, radar and earthquake prediction. Wavelets represent an area that combines signal in image processing, mathematics, physics and electrical engineering. As such, this title is intended for the wide audience that is interested in mastering the basic techniques in this subject area, such as decomposition and compression.
Author : G. G. Lorentz
Publisher : American Mathematical Society
ISBN 13 : 1470474948
Total Pages : 200 pages
Book Rating : 4.4/5 (74 download)
Download or read book Approximation of Functions written by G. G. Lorentz and published by American Mathematical Society. This book was released on 2023-05-08 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an easily accessible account of the approximation of functions. It is simple and without unnecessary details, but complete enough to include the classical results of the theory. With only a few exceptions, only functions of one real variable are considered. A major theme is the degree of uniform approximation by linear sets of functions. This encompasses approximations by trigonometric polynomials, algebraic polynomials, rational functions, and polynomial operators. The chapter on approximation by operators does not assume extensive knowledge of functional analysis. Two chapters cover the important topics of widths and entropy. The last chapter covers the solution by Kolmogorov and Arnol?d of Hilbert's 13th problem. There are notes at the end of each chapter that give information about important topics not treated in the main text. Each chapter also has a short set of challenging problems, which serve as illustrations.
