Approximation paraxiale pour les fluides incompressibles. Etude mathématique et numérique PDF Download

Author: Frédéric Nataf
Publisher:
ISBN:
Category :
Languages : fr
Pages :

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Author: Frédéric Nataf
Publisher:
ISBN:
Category :
Languages : fr
Pages : 189

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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: Catherine Bandle
Publisher: Longman
ISBN:
Category : Mathematics
Languages : en
Pages : 332

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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.

Author: MOHAMMED.. LOUAKED
Publisher:
ISBN:
Category :
Languages : fr
Pages : 141

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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: Robert Vichnevetsky
Publisher:
ISBN:
Category : Computer simulation
Languages : en
Pages : 998

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Proceedings -- Computer Arithmetic, Algebra, OOP.

Author: L D Landau
Publisher: Elsevier
ISBN: 1483161048
Category : Technology & Engineering
Languages : en
Pages : 556

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Fluid Mechanics, Second Edition deals with fluid mechanics, that is, the theory of the motion of liquids and gases. Topics covered range from ideal fluids and viscous fluids to turbulence, boundary layers, thermal conduction, and diffusion. Surface phenomena, sound, and shock waves are also discussed, along with gas flow, combustion, superfluids, and relativistic fluid dynamics. This book is comprised of 16 chapters and begins with an overview of the fundamental equations of fluid dynamics, including Euler's equation and Bernoulli's equation. The reader is then introduced to the equations of motion of a viscous fluid; energy dissipation in an incompressible fluid; damping of gravity waves; and the mechanism whereby turbulence occurs. The following chapters explore the laminar boundary layer; thermal conduction in fluids; dynamics of diffusion of a mixture of fluids; and the phenomena that occur near the surface separating two continuous media. The energy and momentum of sound waves; the direction of variation of quantities in a shock wave; one- and two-dimensional gas flow; and the intersection of surfaces of discontinuity are also also considered. This monograph will be of interest to theoretical physicists.

Author: Mejdi Azaïez
Publisher:
ISBN: 9782889146185
Category :
Languages : en
Pages : 0

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Author: Lars Hörmander
Publisher: Springer Science & Business Media
ISBN: 1461207754
Category : Mathematics
Languages : en
Pages : 384

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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: Alexis Le Pichon
Publisher: Springer Science & Business Media
ISBN: 1402095082
Category : Science
Languages : en
Pages : 739

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The use of infrasound to monitor the atmosphere has, like infrasound itself, gone largely unheard of through the years. But it has many applications, and it is about time that a book is being devoted to this fascinating subject. Our own involvement with infrasound occurred as graduate students of Prof. William Donn, who had established an infrasound array at the Lamont-Doherty Geological Observatory (now the Lamont-Doherty Earth Observatory) of Columbia University. It was a natural outgrowth of another major activity at Lamont, using seismic waves to explore the Earth’s interior. Both the atmosphere and the solid Earth feature velocity (seismic or acoustic) gradients in the vertical which act to refract the respective waves. The refraction in turn allows one to calculate the respective background structure in these mediums, indirectly exploring locations that are hard to observe otherwise. Monitoring these signals also allows one to discover various phenomena, both natural and man-made (some of which have military applications).

Author: A. Krothapalli
Publisher: Springer Science & Business Media
ISBN: 146124840X
Category : Science
Languages : en
Pages : 511

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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.