Sur le calcul des solutions faibles des systèmes hyperboliques de lois de conservation à l'aide de schémas aux différences PDF Download

Author: A. Lerat
Publisher:
ISBN:
Category : Difference equations
Languages : fr
Pages : 222

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Book Description
ETUDE NUMERIQUE DES ECOULEMENTS INSTATIONNAIRES DE FLUIDES PARFAITS COMPRESSIBLES EN PRESENCE D'ONDES DE CHOC. APPROXIMATION NUMERIQUE DES SOLUTIONS FAIBLES DES SYSTEMES HYPERBOLIQUES DE LOIS DE CONSERVATION A UNE OU DEUX VARIABLES D'ESPACE PLUS LE TEMPS, A L'AIDE DE SCHEMAS AUX DIFFERENCES FINIES PRECIS AU SECOND ORDRE, PERMETTANT DE CALCULER LES ONDES DE DISCONTINUITE SANS TRAITEMENT PARTICULIER

Author: Edwige Godlewski
Publisher: Springer Nature
ISBN: 1071613448
Category : Mathematics
Languages : en
Pages : 846

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Book Description
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.

Author: Giuseppe Geymonat
Publisher: World Scientific
ISBN: 9789971502058
Category : Mathematics
Languages : en
Pages : 196

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Book Description
This book introduces the general aspects of hyperbolic conservation laws and their numerical approximation using some of the most modern tools: spectral methods, unstructured meshes and ?-formulation. The applications of these methods are found in some significant examples such as the Euler equations. This book, a collection of articles by the best authors in the field, exposes the reader to the frontier of the research and many open problems.

Author: Andrea Donato
Publisher: Springer Science & Business Media
ISBN: 3322878716
Category : Technology & Engineering
Languages : en
Pages : 623

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Author:
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 214

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Book Description

Author: Edwige Godlewski
Publisher:
ISBN:
Category : Conservation laws (Mathematics).
Languages : en
Pages : 262

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Book Description

Author: Roger Peyret
Publisher: Springer Science & Business Media
ISBN: 3642859526
Category : Science
Languages : en
Pages : 364

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Book Description
In developing this book, we decided to emphasize applications and to provide methods for solving problems. As a result, we limited the mathematical devel opments and we tried as far as possible to get insight into the behavior of numerical methods by considering simple mathematical models. The text contains three sections. The first is intended to give the fundamen tals of most types of numerical approaches employed to solve fluid-mechanics problems. The topics of finite differences, finite elements, and spectral meth ods are included, as well as a number of special techniques. The second section is devoted to the solution of incompressible flows by the various numerical approaches. We have included solutions of laminar and turbulent-flow prob lems using finite difference, finite element, and spectral methods. The third section of the book is concerned with compressible flows. We divided this last section into inviscid and viscous flows and attempted to outline the methods for each area and give examples.

Author: A. Lerat
Publisher:
ISBN:
Category :
Languages : fr
Pages : 216

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Author: Bruno Després
Publisher: Editions Ecole Polytechnique
ISBN: 9782730212533
Category : Conservation laws (Physics)
Languages : fr
Pages : 212

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Book Description

Author: Alain Dervieux
Publisher: Springer Science & Business Media
ISBN: 3322878759
Category : Technology & Engineering
Languages : en
Pages : 369

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Book Description
The numerical simulation of the Euler equations of Fluid Dynamics has been these past few years a challenging problem both for research scientists and aerospace engineers. The increasing interest of more realistic models such as the Euler equations originates in Aerodynamics and also Aerothermics where aerospace applications such as military aircrafts and also space vehicles require accurate and efficient Euler solvers (which can be extended to more complicated modelisations including non-equilibrium chemistry) for su personic and hypersonic flows at high angles of attack and Mach number regimes involving strong shocks and vorticity. This book contains the proceedings of the GAMM Workshop on the Numerical Simu lation of Compressible Euler Flows. that W:LS held at INRIA, Rocquencourt (France), on June 10-13, 1986. The purpose of this event was to compare in terms of accuracy and efficiency several codes for solving compressible inviscid, mainly steady, Euler flows. This workshop was a sequel of the GAMM workshop held in 1979 in Stockholm; this time, though, because of the present strong activity in numerical methods for the Euler equat.ions, the full-potential approach was not included. Since 1979, other Eulpr workshops have been organised, sev eral of them focussed on airfoil calculations; however, many recently derived methods were not presented at these workshops, because, among other reasons, the methods were not far enough developed, or had not been applied to flow problems of sufficient complexity. In fact, the 1986 GAMM workshop scored very high as regards to the novelty of methods.