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Book Description
L'EQUATION DE NAVIER-STOKES PARABOLISEE S'OBTIENT EN NEGLIGEANT LA DIFFUSION DANS LE SENS DE L'ECOULEMENT PAR RAPPORT AU TERME DE TRANSPORT DANS LA MEME DIRECTION. ETUDE DES PROBLEMES MATHEMATIQUES ET NUMERIQUES LIES A CE TYPE D'APPROXIMATIONS
Book Description
L'EQUATION DE NAVIER-STOKES PARABOLISEE S'OBTIENT EN NEGLIGEANT LA DIFFUSION DANS LE SENS DE L'ECOULEMENT PAR RAPPORT AU TERME DE TRANSPORT DANS LA MEME DIRECTION. ETUDE DES PROBLEMES MATHEMATIQUES ET NUMERIQUES LIES A CE TYPE D'APPROXIMATIONS
Author: Carlos Pares Madronal Publisher: ISBN: Category : Languages : fr Pages :
Book Description
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: Catherine Bandle Publisher: Longman ISBN: Category : Mathematics Languages : en Pages : 332
Book Description
A collection of the papers given at the First European Conference on Elliptic and Parabolic Problems, held in Pont-a-Mousson, June, 1991. The subjects addressed include calculus of variations, free boundary problems, homogenization, modelling and numerical analysis.
Book Description
LA METHODE P.I.C. (PARTICLE IN CELL), A ETE INTRODUITE DANS L'ETUDE DES ECOULEMENTS DE FLUIDES INCOMPRESSIBLES REGIS PAR LES EQUATIONS D'EULER. CES EQUATIONS EN FORMULATION (,) S'ECRIVENT: =, U=*, /T+U.*=0 OU EST LE POTENTIEL DE LA VITESSE U ET LE TOURBILLON. LA METHODE P.I.C. CONSISTE ALORS EN UNE DISCRETISATION DU TOURBILLON EN ELEMENTS TOURBILLONNAIRES QUI SONT TRANSPORTES PAR LE FLOT EN SUIVANT LES COURBES CARACTERISTIQUES DU CHAMP DE VITESSE. CE TRAVAIL EST UNE EXTENSION DE LA METHODE P.I.C. AU CAS D'UN FLUIDE COMPRESSIBLE PARFAIT (ECOULEMENT NON NECESSAIREMENT POTENTIEL). DANS CE CAS, LA DECOMPOSITION DE HELMHOLTZ DE LA VITESSE PERMET D'ECRIRE LES EQUATIONS D'EULER SOUS LA FORME: /T+*.(*+))=0 (I), /T+*.((*+))=0 (II), *.=0 (III), *= (IV), /T+1/2|+*|#2+/1###1=Q (V), Q=#2+*(+*) (VI). LA VITESSE A ETE DECOMPOSEE EN SA PARTIE POTENTIELLE COMPRESSIBLE * ET SA PARTIE ROTATIONNELLE INCOMPRESSIBLE . LA METHODE NUMERIQUE TRANSPORTE LES QUANTITES REELLEMENT CONVECTEES PAR LE FLUIDE, LES EQUATIONS (I)-(II) SONT TRAITEES PAR UNE METHODE PARTICULAIRE ET LES EQUATIONS (III)-(VI) SONT RESOLUES PAR METHODE DE DIFFERENCES FINIES. UN SOLVEUR DE HOCKNEY SERVIRA A LA RESOLUTION DES EQUATIONS DE POISSON (III)-(IV) ET (VI). UN DEVELOPPEMENT DE L'EQUATION (V) PERMET DE LA REECRIRE SOUS LA FORME: /T+H(*)+.*=F OU H EST UN HAMILTONIEN. LE POTENTIEL VERIFIE ALORS UNE EQUATION DE TYPE HAMILTON-JACOBI, ASSOCIEE A UNE PARTIE CONVECTIVE .*. SOUS CETTE FORMULATION, LA DISCRETISATION DE L'EQUATION DU POTENTIEL SE FAIT PAR UN SCHEMA DE TYPE E.N.O. (ESSENTIALLY NON OSCILLATORY SCHEME) POUR LES EQUATIONS DE HAMILTON-JACOBI, INTRODUIT PAR OSHER-SETHIAN POUR LA RESOLUTION DES EQUATIONS DE COURBURES. LE PASSAGE DES VALEURS PARTICULAIRES A DES VALEURS SUR LA GRILLE EST ASSURE PAR UN OPERATEUR DE PROJECTION INTRODUIT PAR BRACKBILL-RUPPEL. L'OPERATEUR GRILLE-PARTICULES EST UN OPERATEUR D'INTERPOLATION QUI REPOSE SUR L'INTRODUCTION D'UNE FONCTION CUT-OFF
Author: Lars Hörmander Publisher: Springer Science & Business Media ISBN: 1461207754 Category : Mathematics Languages : en Pages : 384
Book Description
On March 17-19 and May 19-21,1995, analysis seminars were organized jointly at the universities of Copenhagen and Lund, under the heading "Danish-Swedish Analysis Seminar". The main topic was partial differen tial equations and related problems of mathematical physics. The lectures given are presented in this volume, some as short abstracts and some as quite complete expositions or survey papers. They span over a large vari ety of topics. The most frequently occurring theme is the use of microlocal analysis which is now important also in the study of non-linear differential equations although it originated entirely within the linear theory. Perhaps it is less surprising that microlocal analysis has proved to be useful in the study of mathematical problems of classical quantum mechanics, for it re ceived a substantial input of ideas from that field. The scientific committee for the invitation of speakers consisted of Gerd Grubb in Copenhagen, Lars Hormander and Anders MeHn in Lund, and Jo hannes Sjostrand in Paris. Lars Hormander and Anders Melin have edited the proceedings. They were hosts of the seminar days in Lund while Gerd Grubb was the host in Copenhagen. Financial support was obtained from the mathematics departments in Copenhagen and Lund, CNRS in France, the Danish and Swedish Na tional Research Councils, Gustaf Sigurd Magnuson's foundation at the Royal Swedish Academy of Sciences, and the Wenner-Gren foundation in Stockholm. We want to thank all these organisations for their support
Author: A. Krothapalli Publisher: Springer Science & Business Media ISBN: 146124840X Category : Science Languages : en Pages : 511
Book Description
The Joint Institute for Aeronautics and Acoustics at Stanford University was established in October 1973 to provide an academic environment for long-term cooperative research between Stanford and NASA Ames Research Center. Since its establishment, the Institute has conducted theoretical and experimental work in the areas of aerodynamics, acoustics, fluid mechanics, flight dynamics, guidance and control, and human factors. This research has involved Stanford faculty, research associates, graduate students, and many distinguished visitors in collaborative efforts with the research staff of NASA Ames Research Center. The occasion of the Institute's tenth anniversary was used to reflect back on where that research has brought us, and to consider where our endeavors should be directed next. Thus, an International Symposium was held to review recent advances in the fields relevant to the activities of the Institute and to discuss the areas of research to be undertaken in the future. This anniversary was also chosen as an opportunity to honor one of the Institute's founders and its director, Professor Krishnamurty Karamcheti. It has been his crea tive inspiration that has provided the ideal research environment at the Joint Institute.
Author: M. B. Paranjape Publisher: Springer Nature ISBN: 3030557774 Category : Electronic books Languages : en Pages : 670
Book Description
This volume of the CRM Conference Series is based on a carefully refereed selection of contributions presented at the "11th International Symposium on Quantum Theory and Symmetries", held in Montreal, Canada from July 1-5, 2019. The main objective of the meeting was to share and make accessible new research and recent results in several branches of Theoretical and Mathematical Physics, including Algebraic Methods, Condensed Matter Physics, Cosmology and Gravitation, Integrability, Non-perturbative Quantum Field Theory, Particle Physics, Quantum Computing and Quantum Information Theory, and String/ADS-CFT. There was also a special session in honour of Decio Levi. The volume is divided into sections corresponding to the sessions held during the symposium, allowing the reader to appreciate both the homogeneity and the diversity of mathematical tools that have been applied in these subject areas. Several of the plenary speakers, who are internationally recognized experts in their fields, have contributed reviews of the main topics to complement the original contributions. .
Author: Frédéric Nataf
Author: Frédéric Nataf
Author: Frédéric Nataf
Author: Carlos Pares Madronal
Author: Catherine Bandle
Author: MOHAMMED.. LOUAKED
Author: Robert Vichnevetsky
Author: Carlos Pares Madronal
Author: Lars Hörmander
Author: A. Krothapalli
Author: M. B. Paranjape