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Discretisation Spectrale Des Equations De Navier Stokes Couplees Avec Lequation De La Chaleur
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Book Synopsis Discrétisation spectrale des équations de Navier-Stokes couplées avec l'équation de la chaleur by : Rahma Agroum
Download or read book Discrétisation spectrale des équations de Navier-Stokes couplées avec l'équation de la chaleur written by Rahma Agroum and published by . This book was released on 2014 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous considérons dans cette thèse la discrétisation par la méthode spectrale et la simulation numérique de l'écoulement d'un fluide visqueux incompressible occupant le domaine ? modélisé par les équations de Navier-Stokes. Nous avons choisi de les coupler avec l'équation de la chaleur dans le cas ou la viscosité dépend de la température avec des conditions aux limites portant sur la vitesse et la température.La méthode s'avère optimale en ce sens que l'erreur obtenue n'est limitée que par la régularité de la solution. Elle est de type spectrale. Nous donnons des estimations d'erreur a priori optimales et nous confirmons l'étude théorique par des résultats numériques. Nous considérons aussi les équations de Navier-Stokes/chaleur instationnaires dont nous proposons une discrétisation en temps et en espace en utilisant le schéma d'Euler implicite et les méthodes spectrale. Quelques expériences numériques confirment l'intérêt de la discrétisation.
Book Synopsis Discrétisation spectrale des équations de Navier-Stokes à densité variable by : Moncef Touihri
Download or read book Discrétisation spectrale des équations de Navier-Stokes à densité variable written by Moncef Touihri and published by . This book was released on 1998 with total page 127 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON PRESENTE DANS CE TRAVAIL, UNE ETUDE THEORIQUE ET NUMERIQUE DES EQUATIONS DE STOKES ET DE NAVIER-STOKES REGISSANT L'ECOULEMENT D'UN FLUIDE VISQUEUX INCOMPRESSIBLE DONT LA DENSITE EST UNE FONCTION DONNEE NON CONSTANTE. ON DISCRETISE LES DEUX PROBLEMES PAR METHODES SPECTRALES ET ON DONNE DES ESTIMATIONS D'ERREUR OPTIMALES (?) SUR LA VITESSE ET LA PRESSION SOLUTIONS DES PROBLEMES DE STOKES ET DE NAVIER-STOKES BIDIMENSIONNELS. LA RESOLUTION NUMERIQUE DES EQUATIONS DISCRETES SE FAIT AU MOYEN DE L'ALGORITHME D'UZAWA ADAPTE A DES PROBLEMES NON SYMETRIQUES. LES RESULTATS OBTENUS, LORS DES TESTS NUMERIQUES EFFECTUES, SONT CONFORMES A CEUX OBTENUS A L'ISSU DE L'ANALYSE THEORIQUE DES PROBLEMES CONSIDERES.
Book Synopsis Résolution numérique des équations de Navier-Stokes couplées à celle de la chaleur by : Jean-Claude Zenouda
Download or read book Résolution numérique des équations de Navier-Stokes couplées à celle de la chaleur written by Jean-Claude Zenouda and published by . This book was released on 1970 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Résolution spectrale des équations de Navier-Stokes par une méthode de sous-domaines courbes by : Brigitte Métivet
Download or read book Résolution spectrale des équations de Navier-Stokes par une méthode de sous-domaines courbes written by Brigitte Métivet and published by . This book was released on 1987 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis RESOLUTION DES EQUATIONS INSTATIONNAIRES DE NAVIER-STOKES PAR METHODES SPECTRALES by : Didier Zawadzki
Download or read book RESOLUTION DES EQUATIONS INSTATIONNAIRES DE NAVIER-STOKES PAR METHODES SPECTRALES written by Didier Zawadzki and published by . This book was released on 1984 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: LA DISCRETISATION EN TEMPS DES EQUATIONS DE NAVIER STOKES INSTATIONNAIRES BIDIMENSIONNELLES POUR UN FLUIDE INCOMPRESSIBLE, PAR UNE METHODE DE DIRECTIONS ALTERNEES FAIT APPARAITRE DEUX SOUS-PROBLEMES: PROBLEME LINEAIRE DE DIFFUSION QUI NECESSITE LA RESOLUTION DES EQUATIONS DE STOKES ET PROBLEME NON-LINEAIRE DE CONVECITON. CES DEUX SOUS-PROBLEMES SONT RAMENES VIA UNE METHODE DE CONTROLE OPTIMAL, A UNE CASCADE DE PROBLEMES LINEAIRES DE HELMHOLTZ. COMPARAISON DES RESULTATS AVEC CEUX OBTENUS PAR UNE METHODE D'ELEMENTS FINIS. LES METHODES SPECTRALES NECESSITANT LA RESOLUTION DE GROS SYSTEMES LINEAIRES MAL CONDITIONNES ON CHERCHE A DIMINUER LA TAILLE DES SYSTEMES A RESOUDRE EN DEVELOPPANT UNE TECHNIQUE DE COORDINATION DE SOUS DOMAINES SUR UN PROBLEME LINEAIRE SIMPLE: LE PROBLEME D'HELMHOLTZ BIDIMENSIONNEL
Book Synopsis Méthodes spectrales by : Gérard Labrosse
Download or read book Méthodes spectrales written by Gérard Labrosse and published by Ellipses Marketing. This book was released on 2011 with total page 353 pages. Available in PDF, EPUB and Kindle. Book excerpt: Les phénomènes de transport par convection et diffusion moléculaire sont omniprésents, dans la nature et dans les procédés industriels. Ils sont décrits par des équations qui n'ont pas de solutions analytiques et qu'il faut donc résoudre numériquement. L'ordinateur est aujourd'hui un outil puissant. Mais les logiciels industriels qui procèdent à des expérimentations numériques sont basés sur des méthodes de basse précision car locales : différences finies (DF), éléments finis (EF) ou volumes finis (VF). Or, on sait faire beaucoup mieux car bien plus précis, facile à coder et avec un coût calcul très raisonnable, voire comparable. Tout cela pour des configurations physiques et géométriques variées. Ceci est obtenu par les méthodes spectrales qui sont globales. Ces méthodes spectrales sont décrites dans cet ouvrage qui constitue un guide pratique apportant : les bases théoriques nécessaires ; une vue d'ensemble des méthodes DF, EF et VF, pour aider l'utilisateur à "faire son marché", et à bien situer les méthodes spectrales ; tous les éléments de leur mise en oeuvre pratique ; une possibilité d'obtenir avec des méthodes de basse précision des résultats de précision spectrales ; une grande variété d'exercices, avec leurs réponses. [Source : d'après la 4e de couverture]
Book Synopsis METHODES SPECTRALES DE RESOLUTION DES EQUATIONS DE STOKES ET DE NAVIER-STOKES by : Uwe Ehrenstein
Download or read book METHODES SPECTRALES DE RESOLUTION DES EQUATIONS DE STOKES ET DE NAVIER-STOKES written by Uwe Ehrenstein and published by . This book was released on 1986 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: RESOLUTION DES EQUATIONS EN FORMULATION FONCTION DE COURANT TOURBILLON. POUR LE PROBLEME DE STOKES PERIODIQUE, LES EQUATIONS SONT APPROCHEES PAR LES SERIES DE FOURIER, POLYNOMES DE TCHEBYCHEV EN ESPACE ET PAR DES SCHEMAS AUX DIFFERENCES FINIES EN TEMPS; STABILITE DES SYSTEMES RESULTANTS. APPLICATION DES METHODES DE TAU-TCHEBYCHEV ET COLLOCATION-TCHEBYCHEV AU PROBLEME DE STOKES STATIONNAIRE ET NON PERIODIQUE. APPLICATION DE L'ALGORITHME DE COLLOCATION-TCHEBYCHEV AUX EQUATIONS DE NAVIER-STOKES INSTATIONNAIRES PUIS AUX EQUATIONS DES ECOULEMENTS DE CONVECTION DOUBLE-DIFFUSIVE
Book Synopsis Perturbation, approximation et contrôle optimal d'un système gouverné par les équations de Navier-Stokes couplées à celle de la chaleur by : Cornelis Cuvelier
Download or read book Perturbation, approximation et contrôle optimal d'un système gouverné par les équations de Navier-Stokes couplées à celle de la chaleur written by Cornelis Cuvelier and published by . This book was released on 1976 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Spectral Element Discretization of the Unsteady Navier-Stokes Equations and Its Iterative Solution on Parallel Computers by : Wouter Couzy
Download or read book Spectral Element Discretization of the Unsteady Navier-Stokes Equations and Its Iterative Solution on Parallel Computers written by Wouter Couzy and published by . This book was released on 1995 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Advances in Mathematical Fluid Mechanics by : Josef Malek
Download or read book Advances in Mathematical Fluid Mechanics written by Josef Malek and published by Springer. This book was released on 2000-10-04 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of six survey contributions that are focused on several open problems of theoretical fluid mechanics both for incompressible and compressible fluids. The first article "Viscous flows in Besov spaces" by M area Cannone ad dresses the problem of global existence of a uniquely defined solution to the three-dimensional Navier-Stokes equations for incompressible fluids. Among others the following topics are intensively treated in this contribution: (i) the systematic description of the spaces of initial conditions for which there exists a unique local (in time) solution or a unique global solution for small data, (ii) the existence of forward self-similar solutions, (iii) the relation of these results to Leray's weak solutions and backward self-similar solutions, (iv) the extension of the results to further nonlinear evolutionary problems. Particular attention is paid to the critical spaces that are invariant under the self-similar transform. For sufficiently small Reynolds numbers, the conditional stability in the sense of Lyapunov is also studied. The article is endowed by interesting personal and historical comments and an exhaustive bibliography that gives the reader a complete picture about available literature. The papers "The dynamical system approach to the Navier-Stokes equa tions for compressible fluids" by Eduard Feireisl, and "Asymptotic problems and compressible-incompressible limits" by Nader Masmoudi are devoted to the global (in time) properties of solutions to the Navier-Stokes equa and three tions for compressible fluids. The global (in time) analysis of two dimensional motions of compressible fluids were left open for many years.
Book Synopsis Advances in Phase Space Analysis of Partial Differential Equations by : Antonio Bove
Download or read book Advances in Phase Space Analysis of Partial Differential Equations written by Antonio Bove and published by Springer Science & Business Media. This book was released on 2009-09-18 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of original articles and surveys addresses the recent advances in linear and nonlinear aspects of the theory of partial differential equations. The key topics include operators as "sums of squares" of real and complex vector fields, nonlinear evolution equations, local solvability, and hyperbolic questions.
Book Synopsis Optimization, Optimal Control and Partial Differential Equations by : Viorel Barbu
Download or read book Optimization, Optimal Control and Partial Differential Equations written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 1992 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: Variational methods in mechanics and physical models.- Fluid flows in dielectric porous media.- The impact of a jet with two fluids on a porous wall.- Critical point methods in nonlinear eigenvalue problems with discontinuities.- Maximum principles for elliptic systems.- Exponential dichotomy of evolution operators in Banach spaces.- Asymptotic properties of solutions to evolution equations.- On some nonlinear elastic waves biperiodical or almost periodical in mechanics and extensions hyperbolic nonlinear partial differential equations.- The controllability of infinite dimensional and distributed parameter systems.- Singularities in boundary value problems and exact controllability of hyperbolic systems.- Exact controllability of a shallow shell model.- Inverse problem: Identification of a melting front in the 2D case.- Micro-local approach to the control for the plates equation.- Bounded solutions for controlled hyperbolic systems.- Controllability and turbulence.- The H? control problem.- The H? boundary control with state feedback; the hyperbolic case.- Remarks on the theory of robust control.- The dynamic programming method.- Optimality and characteristics of Hamilton-Jacobi-Bellman equations.- Verification theorems of dynamic programming type in optimal control.- Isaacs' equations for value-functions of differential games.- Optimal control for robot manipulators.- Control theory and environmental problems: Slow fast models for management of renewable ressources.- On the Riccati equations of stochastic control.- Optimal control of nonlinear partial differential equations.- A boundary Pontryagin's principle for the optimal control of state-constrained elliptic systems.- Controllability properties for elliptic systems, the fictitious domain method and optimal shape design problems.- Optimal control for elliptic equation and applications.- Inverse problems for variational inequalities.- The variation of the drag with respect to the domain in Navier-Stokes flow, .- Mathematical programming and nonsmooth optimization.- Scalar minimax properties in vectorial optimization.- Least-norm regularization for weak two-level optimization problems.- Continuity of the value function with respect to the set of constraints.- On integral inequalities involving logconcave functions.- Numerical solution of free boundary problems in solids mechanics.- Authors' index
Download or read book Pof 2000 written by and published by Information Gatekeepers Inc. This book was released on 2000 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Developments in Theoretical and Experimental Fluid Mechanics by : U. Müller
Download or read book Recent Developments in Theoretical and Experimental Fluid Mechanics written by U. Müller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dedicated to Prof. Dr.-Ing. J. Zierep
Download or read book ICREEC 2019 written by Ahmed Belasri and published by Springer Nature. This book was released on 2020-06-10 with total page 659 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights peer reviewed articles from the 1st International Conference on Renewable Energy and Energy Conversion, ICREEC 2019, held at Oran in Algeria. It presents recent advances, brings together researchers and professionals in the area and presents a platform to exchange ideas and establish opportunities for a sustainable future. Topics covered in this proceedings, but not limited to, are photovoltaic systems, bioenergy, laser and plasma technology, fluid and flow for energy, software for energy and impact of energy on the environment.
Book Synopsis Active Subspaces by : Paul G. Constantine
Download or read book Active Subspaces written by Paul G. Constantine and published by SIAM. This book was released on 2015-03-17 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists and engineers use computer simulations to study relationships between a model's input parameters and its outputs. However, thorough parameter studies are challenging, if not impossible, when the simulation is expensive and the model has several inputs. To enable studies in these instances, the engineer may attempt to reduce the dimension of the model's input parameter space. Active subspaces are an emerging set of dimension reduction tools that identify important directions in the parameter space. This book describes techniques for discovering a model's active subspace and proposes methods for exploiting the reduced dimension to enable otherwise infeasible parameter studies. Readers will find new ideas for dimension reduction, easy-to-implement algorithms, and several examples of active subspaces in action.
Book Synopsis Bogoliubov-de Gennes Method and Its Applications by : Jian-Xin Zhu
Download or read book Bogoliubov-de Gennes Method and Its Applications written by Jian-Xin Zhu and published by Springer. This book was released on 2016-06-21 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to provide an elementary yet systematic description of the Bogoliubov-de Gennes (BdG) equations, their unique symmetry properties and their relation to Green’s function theory. Specifically, it introduces readers to the supercell technique for the solutions of the BdG equations, as well as other related techniques for more rapidly solving the equations in practical applications. The BdG equations are derived from a microscopic model Hamiltonian with an effective pairing interaction and fully capture the local electronic structure through self-consistent solutions via exact diagonalization. This approach has been successfully generalized to study many aspects of conventional and unconventional superconductors with inhomogeneities – including defects, disorder or the presence of a magnetic field – and becomes an even more attractive choice when the first-principles information of a typical superconductor is incorporated via the construction of a low-energy tight-binding model. Further, the lattice BdG approach is essential when theoretical results for local electronic states around such defects are compared with the scanning tunneling microscopy measurements. Altogether, these lectures provide a timely primer for graduate students and non-specialist researchers, while also offering a useful reference guide for experts in the field.
