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Author: CHUANJU.. XU
Publisher:
ISBN:
Category :
Languages : fr
Pages : 274
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Book Description
DANS LA SIMULATION DE LA MECANIQUE DES FLUIDES, LES EFFETS DE LA DIFFUSION DANS LE FLUIDE SONT FAIBLES DANS UNE PARTIE DE LA REGION DE CALCUL. LES EQUATIONS SONT PLUS SIMPLES ET AUSSI MOINS COUTEUSES A APPROCHER QUE LES EQUATIONS DE NAVIER-STOKES. LA PREMIERE PARTIE DE CE TRAVAIL EST CONSACREE A LA RESOLUTION DES EQUATIONS D'EULER EN DEUX DIMENSIONS D'ESPACE POUR LEQUEL ON INTRODUIT UNE METHODE DE DECOUPLAGE VITESSE/TOURBILLON. DEUX METHODES DE DISCRETISATION SPECTRALES, DE TYPE GALERKIN ET COLLOCATION, SONT UTILISEES POUR APPROCHER LES EQUATIONS AINSI DECOUPLEES. ON MONTRE DES RESULTATS DE STABILITE ET DES ESTIMATIONS D'ERREUR POUR CHACUNE DE CES DISCRETISATIONS. DES COURBES D'ERREUR CONFIRMENT LES RESULTATS THEORIQUES AINSI OBTENUS. DANS LA DEUXIEME PARTIE ON S'INTERESSE A L'ETUDE DU PROBLEME DE COUPLAGE ENTRE LES EQUATIONS DE NAVIER-STOKES ET D'EULER PAR DES METHODES DE TYPE ELEMENTS SPECTRAUX OU LES CONDITIONS DE RACCORD APPROPRIEES SONT SPECIFIEES. CETTE METHODE DE COUPLAGE EST VALIDEE PAR DES SIMULATIONS NUMERIQUES DU MOUVEMENT D'UN FLUIDE AUTOUR D'UN OBSTACLE. NOUS MONTRONS QUE L'APPROCHE MISE EN UVRE EST STABLE, ET FOURNIT UNE ALTERNATIVE MOINS COUTEUSE QU'UN CODE SPECTRAL NAVIER-STOKES PUR
Author: CHUANJU.. XU
Publisher:
ISBN:
Category :
Languages : fr
Pages : 274
Get Book Here
Book Description
DANS LA SIMULATION DE LA MECANIQUE DES FLUIDES, LES EFFETS DE LA DIFFUSION DANS LE FLUIDE SONT FAIBLES DANS UNE PARTIE DE LA REGION DE CALCUL. LES EQUATIONS SONT PLUS SIMPLES ET AUSSI MOINS COUTEUSES A APPROCHER QUE LES EQUATIONS DE NAVIER-STOKES. LA PREMIERE PARTIE DE CE TRAVAIL EST CONSACREE A LA RESOLUTION DES EQUATIONS D'EULER EN DEUX DIMENSIONS D'ESPACE POUR LEQUEL ON INTRODUIT UNE METHODE DE DECOUPLAGE VITESSE/TOURBILLON. DEUX METHODES DE DISCRETISATION SPECTRALES, DE TYPE GALERKIN ET COLLOCATION, SONT UTILISEES POUR APPROCHER LES EQUATIONS AINSI DECOUPLEES. ON MONTRE DES RESULTATS DE STABILITE ET DES ESTIMATIONS D'ERREUR POUR CHACUNE DE CES DISCRETISATIONS. DES COURBES D'ERREUR CONFIRMENT LES RESULTATS THEORIQUES AINSI OBTENUS. DANS LA DEUXIEME PARTIE ON S'INTERESSE A L'ETUDE DU PROBLEME DE COUPLAGE ENTRE LES EQUATIONS DE NAVIER-STOKES ET D'EULER PAR DES METHODES DE TYPE ELEMENTS SPECTRAUX OU LES CONDITIONS DE RACCORD APPROPRIEES SONT SPECIFIEES. CETTE METHODE DE COUPLAGE EST VALIDEE PAR DES SIMULATIONS NUMERIQUES DU MOUVEMENT D'UN FLUIDE AUTOUR D'UN OBSTACLE. NOUS MONTRONS QUE L'APPROCHE MISE EN UVRE EST STABLE, ET FOURNIT UNE ALTERNATIVE MOINS COUTEUSE QU'UN CODE SPECTRAL NAVIER-STOKES PUR
Author: John Groves Heywood
Publisher: World Scientific
ISBN: 9789810233006
Category : Mathematics
Languages : en
Pages : 256
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Book Description
This volume collects the articles presented at the Third International Conference on ?The Navier-Stokes Equations: Theory and Numerical Methods?, held in Oberwolfach, Germany. The articles are important contributions to a wide variety of topics in the Navier-Stokes theory: general boundary conditions, flow exterior to an obstacle, conical boundary points, the controllability of solutions, compressible flow, non-Newtonian flow, magneto-hydrodynamics, thermal convection, the interaction of fluids with elastic solids, the regularity of solutions, and Rothe's method of approximation.
Author: Charles R. Doering
Publisher: Cambridge University Press
ISBN: 9780521445689
Category : Mathematics
Languages : en
Pages : 236
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Book Description
This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation of these issues to the physical phenomenon of turbulent fluid motion.
Author: R. Temam
Publisher: Springer
ISBN: 3540375163
Category : Mathematics
Languages : en
Pages : 201
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Book Description
Author: John G. Heywood
Publisher: Springer
ISBN: 3540471413
Category : Mathematics
Languages : en
Pages : 245
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Book Description
These proceedings contain original (refereed) research articles by specialists from many countries, on a wide variety of aspects of Navier-Stokes equations. Additionally, 2 survey articles intended for a general readership are included: one surveys the present state of the subject via open problems, and the other deals with the interplay between theory and numerical analysis.
Author: Kyle Evans-Lee
Publisher:
ISBN:
Category : Navier-Stokes equations
Languages : en
Pages : 10
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Book Description
Author: Werner Varnhorn
Publisher: De Gruyter Akademie Forschung
ISBN:
Category : Mathematics
Languages : en
Pages : 176
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Book Description
The present book consists of three parts. In the first part a theory of solvability for the stationary Stokes equations in exterior domains is developed. We prove existence of strong solutions in Sobolev spaces and use a localisation principle and the divergence equation to deduce further properties of the solution (uniqueness, asymptotics).
Author: Roger Temam
Publisher: Elsevier Science & Technology
ISBN:
Category : Mathematics
Languages : en
Pages : 548
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Book Description
This third revised edition contains an expanded bibliography and has been brought up to date with reviews of recent progress.
Author: Roger Temam
Publisher: Elsevier
ISBN: 1483256855
Category : Mathematics
Languages : en
Pages : 539
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Book Description
Navier-Stokes Equations: Theory and Numerical Analysis focuses on the processes, methodologies, principles, and approaches involved in Navier-Stokes equations, computational fluid dynamics (CFD), and mathematical analysis to which CFD is grounded. The publication first takes a look at steady-state Stokes equations and steady-state Navier-Stokes equations. Topics include bifurcation theory and non-uniqueness results, discrete inequalities and compactness theorems, existence and uniqueness theorems, discretization of Stokes equations, existence and uniqueness for the Stokes equations, and function spaces. The text then examines the evolution of Navier-Stokes equations, including linear case, compactness theorems, alternate proof of existence by semi-discretization, and discretization of the Navier-Stokes equations. The book ponders on the approximation of the Navier-Stokes equations by the projection and compressibility methods; properties of the curl operator and application to the steady-state Navier-Stokes equations; and implementation of non-conforming linear finite elements. The publication is a valuable reference for researchers interested in the theory and numerical analysis of Navier-Stokes equations.
Author: Justin W. Garvin
Publisher:
ISBN: 1009236121
Category : Mathematics
Languages : en
Pages : 238
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Book Description
The Navier-Stokes equations describe the motion of fluids and are an invaluable addition to the toolbox of every physicist, applied mathematician, and engineer. The equations arise from applying Newton's laws of motion to a moving fluid and are considered, when used in combination with mass and energy conservation rules, to be the fundamental governing equations of fluid motion. They are relevant across many disciplines, from astrophysics and oceanic sciences to aerospace engineering and materials science. This Student's Guide provides a clear and focused presentation of the derivation, significance and applications of the Navier-Stokes equations, along with the associated continuity and energy equations. Designed as a useful supplementary resource for undergraduate and graduate students, each chapter concludes with a selection of exercises intended to reinforce and extend important concepts. Video podcasts demonstrating the solutions in full are provided online, along with written solutions and other additional resources.
