Mod Lisation Asymptotique En M Canique Des Fluides Newtoniens
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Mod Lisation Asymptotique En M Canique Des Fluides Newtoniens
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Author : Radyadour Kh. Zeytounian
language : fr
Publisher: Springer Science & Business Media
Release Date : 1994-05-11
Mod Lisation Asymptotique En M Canique Des Fluides Newtoniens written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-05-11 with Science categories.
Le but principal du présent ouvrage est de familiariser les étudiants aux concepts actuels de la modélisation asymptotique et à leurs applications aux écoulements des fluides Newtoniens dans diverses configurations. La lecture ne présente aucune difficulté particulière. Cependant le déroulement logique et systématique de l'exposé met en place tout le formalisme de la modélisation asymptotique (ch. II à VI). Ce livre est l'un des premiers à présenter un panorama assez vaste sur la modélisation asymptotique des écoulements de fluides Newtoniens: il s'agit aussi bien des techniques asymptotiques que de la mise en œuvre effective de la modélisation à des problèmes concrets de la mécanique des fluides (ch. VII à XI).
Les Mod Les Asymptotiques De La M Canique Des Fluides
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Author : Radyadour Kh. Zeytounian
language : fr
Publisher: Springer
Release Date : 1988
Les Mod Les Asymptotiques De La M Canique Des Fluides written by Radyadour Kh. Zeytounian and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Asymptotic expansions categories.
Approximation Par La M Thode Nxfem Des Probl Mes D Interface Et D Interphase Dans La M Canique Des Fluides
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Author : Hammou El-Otmany
language : fr
Publisher:
Release Date : 2015
Approximation Par La M Thode Nxfem Des Probl Mes D Interface Et D Interphase Dans La M Canique Des Fluides written by Hammou El-Otmany and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with categories.
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.
Asymptotic Modelling Of Fluid Flow Phenomena
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Author : Radyadour Kh. Zeytounian
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-04-10
Asymptotic Modelling Of Fluid Flow Phenomena written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-04-10 with Science categories.
for the fluctuations around the means but rather fluctuations, and appearing in the following incompressible system of equations: on any wall; at initial time, and are assumed known. This contribution arose from discussion with J. P. Guiraud on attempts to push forward our last co-signed paper (1986) and the main idea is to put a stochastic structure on fluctuations and to identify the large eddies with a part of the probability space. The Reynolds stresses are derived from a kind of Monte-Carlo process on equations for fluctuations. Those are themselves modelled against a technique, using the Guiraud and Zeytounian (1986). The scheme consists in a set of like equations, considered as random, because they mimic the large eddy fluctuations. The Reynolds stresses are got from stochastic averaging over a family of their solutions. Asymptotics underlies the scheme, but in a rather loose hidden way. We explain this in relation with homogenizati- localization processes (described within the §3. 4 ofChapter 3). Ofcourse the mathematical well posedness of the scheme is not known and the numerics would be formidable! Whether this attempt will inspire researchers in the field of highly complex turbulent flows is not foreseeable and we have hope that the idea will prove useful.
Navier Stokes Fourier Equations
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Author : Radyadour Kh. Zeytounian
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-01-25
Navier Stokes Fourier Equations written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-25 with Technology & Engineering categories.
This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.
Comportement Asymptotique De Fluides Non Newtoniens
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Author : Kamla Boudraa
language : fr
Publisher:
Release Date : 2019
Comportement Asymptotique De Fluides Non Newtoniens written by Kamla Boudraa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with categories.
Modélisation d'un fluide non newtonien qui pour de faibles taux de cisaillement dans un écoulement viscométrique admet une première et deuxième différence de contrainte normale respectivement positive et non nulle. Étude de fluides de Rivlin-Ericksen de complexités 2 et 3. Résultats d'existence sur l'écoulement d'un fluide de grade 2.
Five Decades Of Tackling Models For Stiff Fluid Dynamics Problems
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Author : Radyadour Kh. Zeytounian
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-03
Five Decades Of Tackling Models For Stiff Fluid Dynamics Problems written by Radyadour Kh. Zeytounian and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-03 with Science categories.
Rationality - as opposed to 'ad-hoc' - and asymptotics - to emphasize the fact that perturbative methods are at the core of the theory - are the two main concepts associated with the Rational Asymptotic Modeling (RAM) approach in fluid dynamics when the goal is to specifically provide useful models accessible to numerical simulation via high-speed computing. This approach has contributed to a fresh understanding of Newtonian fluid flow problems and has opened up new avenues for tackling real fluid flow phenomena, which are known to lead to very difficult mathematical and numerical problems irrespective of turbulence. With the present scientific autobiography the author guides the reader through his somewhat non-traditional career; first discovering fluid mechanics, and then devoting more than fifty years to intense work in the field. Using both personal and general historical contexts, this account will be of benefit to anyone interested in the early and contemporary developments of an important branch of theoretical and computational fluid mechanics.
Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1996
Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mechanics, Applied categories.
Applied Mathematics And Scientific Computing
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Author : Zlatko Drmac
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29
Applied Mathematics And Scientific Computing written by Zlatko Drmac and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Computers categories.
Proceedings of the second conference on Applied Mathematics and Scientific Computing, held June 4-9, 2001 in Dubrovnik, Croatia. The main idea of the conference was to bring together applied mathematicians both from outside academia, as well as experts from other areas (engineering, applied sciences) whose work involves advanced mathematical techniques. During the meeting there were one complete mini-course, invited presentations, contributed talks and software presentations. A mini-course Schwarz Methods for Partial Differential Equations was given by Prof Marcus Sarkis (Worcester Polytechnic Institute, USA), and invited presentations were given by active researchers from the fields of numerical linear algebra, computational fluid dynamics , matrix theory and mathematical physics (fluid mechanics and elasticity). This volume contains the mini-course and review papers by invited speakers (Part I), as well as selected contributed presentations from the field of analysis, numerical mathematics, and engineering applications.
Optimal Syntheses For Control Systems On 2 D Manifolds
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Author : Ugo Boscain
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-11-26
Optimal Syntheses For Control Systems On 2 D Manifolds written by Ugo Boscain and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-26 with Mathematics categories.
This book is devoted to optimal syntheses in control theory and focuses on minimum time on 2-D manifolds. The text outlines examples of applicability, introduces geometric methods in control theory, and analyzes single input systems on 2-D manifolds including classifications of optimal syntheses and feedbacks, their singularities, extremals projection and minimum time singularities. Various extensions and applications are also illustrated.