Analyse De Quelques Methodes De Volumes Finis Non Structures Pour La Resolution Des Equations Deuler

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Numerical Approximation of Hyperbolic Systems of Conservation Laws

Author : Edwige Godlewski
Publisher : Springer Nature
ISBN 13 : 1071613448
Total Pages : 846 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Numerical Approximation of Hyperbolic Systems of Conservation Laws by : Edwige Godlewski

Download or read book Numerical Approximation of Hyperbolic Systems of Conservation Laws written by Edwige Godlewski and published by Springer Nature. This book was released on 2021-08-28 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is devoted to the theory and approximation by finite volume methods of nonlinear hyperbolic systems of conservation laws in one or two space variables. It follows directly a previous publication on hyperbolic systems of conservation laws by the same authors. Since the earlier work concentrated on the mathematical theory of multidimensional scalar conservation laws, this book will focus on systems and the theoretical aspects which are needed in the applications, such as the solution of the Riemann problem and further insights into more sophisticated problems, with special attention to the system of gas dynamics. This new edition includes more examples such as MHD and shallow water, with an insight on multiphase flows. Additionally, the text includes source terms and well-balanced/asymptotic preserving schemes, introducing relaxation schemes and addressing problems related to resonance and discontinuous fluxes while adding details on the low Mach number situation.

ANALYSE DE QUELQUES METHODES DE VOLUMES FINIS NON STRUCTURES POUR LA RESOLUTION DES EQUATIONS D'EULER

Author : THIERRY.. BUFFARD
Publisher :
ISBN 13 :
Total Pages : 244 pages
Book Rating : 4.:/5 (257 download)

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Book Synopsis ANALYSE DE QUELQUES METHODES DE VOLUMES FINIS NON STRUCTURES POUR LA RESOLUTION DES EQUATIONS D'EULER by : THIERRY.. BUFFARD

Download or read book ANALYSE DE QUELQUES METHODES DE VOLUMES FINIS NON STRUCTURES POUR LA RESOLUTION DES EQUATIONS D'EULER written by THIERRY.. BUFFARD and published by . This book was released on 1993 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON S'INTERESSE A LA RESOLUTION NUMERIQUE DU SYSTEME DES EQUATIONS D'EULER PAR UNE METHODE DE VOLUMES FINIS SUR MAILLAGES NON STRUCTURES. LE SCHEMA EN TEMPS EST EXPLICITE D'ORDRE 1 OU 2 TANDIS QUE LES FLUX AUX INTERFACES SONT EVALUES PAR UNE RESOLUTION DU PROBLEME DE RIEMANN LINEARISE DE ROE. DEUX FORMULATIONS CORRESPONDANT A DEUX CONSTRUCTIONS POSSIBLES DE VOLUME DE CONTROLE A PARTIR D'UN MAILLAGE TRIANGULAIRE SONT ALORS COMPAREES. POUR LA FORMULATION DITE BARYCENTRIQUE DONT LA CELLULE EST CONSTITUEE DU TRIANGLE, L'EXTENSION A L'ORDRE 2 EN ESPACE DE TYPE MUSCL A ETE ETUDIEE. ENFIN, ON PRESENTE UNE METHODE A PAS FRACTIONNAIRES, SUR LES SYSTEMES EULER UNI- ET MULTI-ESPECES, BASEE SUR LES LINEARISEES DE ROE NE NECESSITANT PLUS LE RECOURS A UNE CORRECTION ENTROPIQUE. LES CRITERES DE PRESERVATION DISCRETE DE LA POSITIVITE DES VARIABLES DENSITE, FRACTIONS MASSIQUES ET PRESSION SONT EXAMINES POUR CETTE METHODE. CELLE-CI EST ALORS COMPAREE AU SOLVEUR DE ROE STANDARD AVEC CORRECTION ENTROPIQUE. TOUTES LES METHODES PRECEDEMMENT CITEES ONT FAIT L'OBJET DE NOMBREUX TESTS NUMERIQUES SYSTEMATIQUES AVEC, EN PARTICULIER, UNE MESURE DE LEUR ORDRE REEL DE CONVERGENCE DANS LE CAS DE SOLUTIONS DISCONTINUES

Finite-volume Methods for the Solution of Euler Equations

Author : Alain Lerat
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Finite-volume Methods for the Solution of Euler Equations by : Alain Lerat

Download or read book Finite-volume Methods for the Solution of Euler Equations written by Alain Lerat and published by . This book was released on 1979 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

RESOLUTION DES EQUATIONS DE NAVIER-STOKES COMPRESSIBLES A L'AIDE DE LA METHODE DE DECOMPOSITION

Author : JEAN-LUC.. IMPAGLIAZZO
Publisher :
ISBN 13 :
Total Pages : 270 pages
Book Rating : 4.:/5 (49 download)

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Book Synopsis RESOLUTION DES EQUATIONS DE NAVIER-STOKES COMPRESSIBLES A L'AIDE DE LA METHODE DE DECOMPOSITION by : JEAN-LUC.. IMPAGLIAZZO

Download or read book RESOLUTION DES EQUATIONS DE NAVIER-STOKES COMPRESSIBLES A L'AIDE DE LA METHODE DE DECOMPOSITION written by JEAN-LUC.. IMPAGLIAZZO and published by . This book was released on 1997 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: ON PRESENTE UNE METHODE ORIGINALE DE RESOLUTION DES EQUATIONS DE NAVIER-STOKES COMPRESSIBLES BASEE SUR UNE DECOMPOSITION DE HELMHOLTZ DU CHAMP DE VITESSE. CETTE DEMARCHE PERMET DE SCINDER LES EQUATIONS DE NAVIER-STOKES EN TROIS SOUS PROBLEMES PLUS SIMPLES QUI SEPARENT BIEN LES CARACTERES ELLIPTIQUES OU PARABOLIQUES ET HYPERBOLIQUES DU SYSTEME INITIAL. LA METHODE EST UTILISEE AVEC PROFIT EN REGIME STATIONNAIRE, LA SOLUTION S'OBTIENT ALORS A L'AIDE D'UN POINT FIXE SUR LES TROIS SOUS PROBLEMES. UNE PREMIERE IMPLEMENTATION NUMERIQUE UTILISANT LA TECHNIQUE DES VOLUMES FINIS EST PROPOSEE DANS LE CADRE STATIONNAIRE ISOTHERME EN DIMENSION 2. ENCOURAGE PAR LES BONS RESULTATS OBTENUS PAR CETTE PREMIERE APPLICATION, LA METHODE EST GENERALISEE AU CAS DES ECOULEMENTS INSTATIONNAIRES POUR DES FLUIDES ISOTHERMES OU CONDUCTEURS DE CHALEUR, L'OBJECTIF ETANT DE SE RAPPROCHER LE PLUS POSSIBLE D'ECOULEMENTS REELS EVENTUELLEMENT TRES PERTURBES. DEUX CONTRIBUTIONS A L'ANALYSE MATHEMATIQUE DES EQUATIONS DE NAVIER-STOKES SONT EGALEMENT FOURNIES. LA PREMIERE PRESENTE DANS LE DETAIL L'APPLICATION DE LA METHODE DE DECOMPOSITION DANS LE CADRE DE L'ECOULEMENT D'UN FLUIDE COMPRESSIBLE EN DOMAINE BORNE DE FRONTIERES IMPERMEABLES POUR LEQUEL ON MONTRE L'EXISTENCE ET L'UNICITE DE SOLUTIONS DANS LES ESPACES DE HOLDER. LA SECONDE S'INTERESSE A L'ETUDE DES COMPORTEMENTS ASYMPTOTIQUES DES SOLUTIONS STATIONNAIRES DES EQUATIONS DE NAVIER-STOKES COMPRESSIBLES. LES DECROISSANCES CALCULEES NUMERIQUEMENT SONT COMPAREES AUX RESULTATS THEORIQUES CONNUS. ENFIN, NOUS CONSACRONS LA DERNIERE PARTIE AUX TRAVAUX EN COURS D'ELABORATION (EXTENSION DU CODE DE CALCUL A LA DIMENSION 3 SUR DES MAILLAGES NON CARTESIENS MULTI-BLOCS STRUCTURES) ET AUX DEVELOPPEMENTS ENVISAGES DANS UN FUTUR PROCHE (COUPLAGE AVEC L'ACOUSTIQUE, FLUIDES NON NEWTONIENS).

Government Reports Announcements & Index

Author :
Publisher :
ISBN 13 :
Total Pages : 1044 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Government Reports Announcements & Index by :

Download or read book Government Reports Announcements & Index written by and published by . This book was released on 1992 with total page 1044 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Etude d'une méthode de volumes finis pour la résolution des équations de Maxwell en deux dimensions d'espace sur des maillages quelconques et couplage avec l'équation de Vlasov

Download Etude d'une méthode de volumes finis pour la résolution des équations de Maxwell en deux dimensions d'espace sur des maillages quelconques et couplage avec l'équation de Vlasov PDF Online Free

Author : Siham Layouni
Publisher :
ISBN 13 :
Total Pages : 150 pages
Book Rating : 4.:/5 (69 download)

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Book Synopsis Etude d'une méthode de volumes finis pour la résolution des équations de Maxwell en deux dimensions d'espace sur des maillages quelconques et couplage avec l'équation de Vlasov by : Siham Layouni

Download or read book Etude d'une méthode de volumes finis pour la résolution des équations de Maxwell en deux dimensions d'espace sur des maillages quelconques et couplage avec l'équation de Vlasov written by Siham Layouni and published by . This book was released on 2008 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nous développons et étudions une méthode de volumes finis pour résoudre le système de Maxwell instationnaire bidimensionnel sur des maillages presque quelconques (non-conformes, non-convexes, aplatis..). Nous commençons par la construction du schéma, qui est basé sur l'utilisation des opérateurs discrets de la méthode DDFV et sur un choix pertinent pour la discrétisation des conditions initiales et des conditions aux limites. Ensuite, nous prouvons que ce schéma préserve localement la condition de divergence, que l'énergie électromagnétique discrète est conservée ou décroissante (selon les conditions aux limites) et qu'elle est positive sous condition CFL. Nous montrons aussi la stabilité du schéma sous condition CFL et sa convergence dans les cas de champs réguliers et non réguliers. Ces résultats sont ensuite validés, numériquement avec quelques cas tests sur différents types de maillages. Nous vérifions aussi que l'utilisation des maillages non conformes n'amplifie pas les réflexions parasites. Enfin nous couplons ce schéma avec une méthode PIC pour résoudre le système de Maxwell-Vlasov. Nous calculons la densité de courant avec une généralisation de la méthode de Buneman à des maillages quelconques et nous montrons la conservation des équations de charge discrètes, ce qui permet de conserver la loi de Gauss. Le problème couplé est validé numériquement et la simulation de l'amortissement Landau confirme la décroissance de l'énergie, portée par le champ électrique, avec une précision dépendant du nombre de particules par maille.

Etude d'une méthode de volumes finis de type Galerkin discontinu

Author : Béla Berde
Publisher :
ISBN 13 :
Total Pages : 230 pages
Book Rating : 4.:/5 (495 download)

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Book Synopsis Etude d'une méthode de volumes finis de type Galerkin discontinu by : Béla Berde

Download or read book Etude d'une méthode de volumes finis de type Galerkin discontinu written by Béla Berde and published by . This book was released on 1995 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Government reports annual index

Author :
Publisher :
ISBN 13 :
Total Pages : 1256 pages
Book Rating : 4.3/5 (129 download)

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Book Synopsis Government reports annual index by :

Download or read book Government reports annual index written by and published by . This book was released on 199? with total page 1256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Enumeration

Author : Ian P. Goulden
Publisher : Courier Corporation
ISBN 13 : 0486435970
Total Pages : 609 pages
Book Rating : 4.4/5 (864 download)

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Book Synopsis Combinatorial Enumeration by : Ian P. Goulden

Download or read book Combinatorial Enumeration written by Ian P. Goulden and published by Courier Corporation. This book was released on 2004-06-23 with total page 609 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level text presents mathematical theory and problem-solving techniques associated with enumeration problems. Subjects include the combinatorics of the ordinary generating function and the exponential generating function, the combinatorics of sequences, and the combinatorics of paths. The text is complemented by approximately 350 exercises with full solutions. 1983 edition. Foreword by Gian-Carlo Rota. References. Index.

Hyperbolic Problems: Theory, Numerics, Applications

Author : Michael Fey
Publisher : Birkhäuser
ISBN 13 : 3034887248
Total Pages : 514 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Hyperbolic Problems: Theory, Numerics, Applications by : Michael Fey

Download or read book Hyperbolic Problems: Theory, Numerics, Applications written by Michael Fey and published by Birkhäuser. This book was released on 2012-12-06 with total page 514 pages. Available in PDF, EPUB and Kindle. Book excerpt: [Infotext]((Kurztext))These are the proceedings of the 7th International Conference on Hyperbolic Problems, held in Zürich in February 1998. The speakers and contributors have been rigorously selected and present the state of the art in this field. The articles, both theoretical and numerical, encompass a wide range of applications, such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics. ((Volltext))These proceedings contain, in two volumes, approximately one hundred papers presented at the conference on hyperbolic problems, which has focused to a large extent on the laws of nonlinear hyperbolic conservation. Two-fifths of the papers are devoted to mathematical aspects such as global existence, uniqueness, asymptotic behavior such as large time stability, stability and instabilities of waves and structures, various limits of the solution, the Riemann problem and so on. Roughly the same number of articles are devoted to numerical analysis, for example stability and convergence of numerical schemes, as well as schemes with special desired properties such as shock capturing, interface fitting and high-order approximations to multidimensional systems. The results in these contributions, both theoretical and numerical, encompass a wide range of applications such as nonlinear waves in solids, various computational fluid dynamics from small-scale combustion to relativistic astrophysical problems, multiphase phenomena and geometrical optics.

Navier-Stokes Equations

Author : Roger Temam
Publisher : American Mathematical Soc.
ISBN 13 : 0821827375
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Navier-Stokes Equations by : Roger Temam

Download or read book Navier-Stokes Equations written by Roger Temam and published by American Mathematical Soc.. This book was released on 2001-04-10 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1977, the book is devoted to the theory and numerical analysis of the Navier-Stokes equations for viscous incompressible fluid. On the theoretical side, results related to the existence, the uniqueness, and, in some cases, the regularity of solutions are presented. On the numerical side, various approaches to the approximation of Navier-Stokes problems by discretization are considered, such as the finite dereference method, the finite element method, and the fractional steps method. The problems of stability and convergence for numerical methods are treated as completely as possible. The new material in the present book (as compared to the preceding 1984 edition) is an appendix reproducing a survey article written in 1998. This appendix touches upon a few aspects not addressed in the earlier editions, in particular a short derivation of the Navier-Stokes equations from the basic conservation principles in continuum mechanics, further historical perspectives, and indications on new developments in the area. The appendix also surveys some aspects of the related Euler equations and the compressible Navier-Stokes equations. The book is written in the style of a textbook and the author has attempted to make the treatment self-contained. It can be used as a textbook or a reference book for researchers. Prerequisites for reading the book include some familiarity with the Navier-Stokes equations and some knowledge of functional analysis and Sololev spaces.

Lectures on N_X(p)

Author : Jean-Pierre Serre
Publisher : CRC Press
ISBN 13 : 1466501936
Total Pages : 169 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Lectures on N_X(p) by : Jean-Pierre Serre

Download or read book Lectures on N_X(p) written by Jean-Pierre Serre and published by CRC Press. This book was released on 2016-04-19 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomial equations is fixed. While such a general question cannot have a complete answer, it offers a good occasion for reviewing various techniques in l-adic cohomology and group representations, presented in

Absorbing Boundaries and Layers, Domain Decomposition Methods

Author : L. Tourrette
Publisher : Nova Publishers
ISBN 13 : 9781560729402
Total Pages : 396 pages
Book Rating : 4.7/5 (294 download)

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Book Synopsis Absorbing Boundaries and Layers, Domain Decomposition Methods by : L. Tourrette

Download or read book Absorbing Boundaries and Layers, Domain Decomposition Methods written by L. Tourrette and published by Nova Publishers. This book was released on 2001 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: CD-ROM contains: Sections omitted from printing of text.

Computational Fluid Dynamics

Author : Jiri Blazek
Publisher : Elsevier
ISBN 13 : 0080529674
Total Pages : 491 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Computational Fluid Dynamics by : Jiri Blazek

Download or read book Computational Fluid Dynamics written by Jiri Blazek and published by Elsevier. This book was released on 2005-12-20 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Fluid Dynamics (CFD) is an important design tool in engineering and also a substantial research tool in various physical sciences as well as in biology. The objective of this book is to provide university students with a solid foundation for understanding the numerical methods employed in today’s CFD and to familiarise them with modern CFD codes by hands-on experience. It is also intended for engineers and scientists starting to work in the field of CFD or for those who apply CFD codes. Due to the detailed index, the text can serve as a reference handbook too. Each chapter includes an extensive bibliography, which provides an excellent basis for further studies.

Shock Waves and Reaction—Diffusion Equations

Author : Joel Smoller
Publisher : Springer Science & Business Media
ISBN 13 : 1461208734
Total Pages : 650 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Shock Waves and Reaction—Diffusion Equations by : Joel Smoller

Download or read book Shock Waves and Reaction—Diffusion Equations written by Joel Smoller and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: For this edition, a number of typographical errors and minor slip-ups have been corrected. In addition, following the persistent encouragement of Olga Oleinik, I have added a new chapter, Chapter 25, which I titled "Recent Results." This chapter is divided into four sections, and in these I have discussed what I consider to be some of the important developments which have come about since the writing of the first edition. Section I deals with reaction-diffusion equations, and in it are described both the work of C. Jones, on the stability of the travelling wave for the Fitz-Hugh-Nagumo equations, and symmetry-breaking bifurcations. Section II deals with some recent results in shock-wave theory. The main topics considered are L. Tartar's notion of compensated compactness, together with its application to pairs of conservation laws, and T.-P. Liu's work on the stability of viscous profiles for shock waves. In the next section, Conley's connection index and connection matrix are described; these general notions are useful in con structing travelling waves for systems of nonlinear equations. The final sec tion, Section IV, is devoted to the very recent results of C. Jones and R. Gardner, whereby they construct a general theory enabling them to locate the point spectrum of a wide class of linear operators which arise in stability problems for travelling waves. Their theory is general enough to be applica ble to many interesting reaction-diffusion systems.

The Abel Prize 2013-2017

Author : Helge Holden
Publisher : Springer
ISBN 13 : 3319990284
Total Pages : 774 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Abel Prize 2013-2017 by : Helge Holden

Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 774 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.

Turbulence

Author : Uriel Frisch
Publisher : Cambridge University Press
ISBN 13 : 1139935976
Total Pages : 318 pages
Book Rating : 4.1/5 (399 download)

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Book Synopsis Turbulence by : Uriel Frisch

Download or read book Turbulence written by Uriel Frisch and published by Cambridge University Press. This book was released on 1995-11-30 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents a modern account of turbulence, one of the greatest challenges in physics. The state-of-the-art is put into historical perspective five centuries after the first studies of Leonardo and half a century after the first attempt by A. N. Kolmogorov to predict the properties of flow at very high Reynolds numbers. Such 'fully developed turbulence' is ubiquitous in both cosmical and natural environments, in engineering applications and in everyday life. The intended readership for the book ranges from first-year graduate students in mathematics, physics, astrophysics, geosciences and engineering, to professional scientists and engineers. Elementary presentations of dynamical systems ideas, of probabilistic methods (including the theory of large deviations) and of fractal geometry make this a self-contained textbook.