Une etude numerique du comportement asymptotique des solutions des equations de Navier-Stokes avec des conditions aux limites sur la pression et divergence non nulle

Une etude numerique du comportement asymptotique des solutions des equations de Navier-Stokes avec des conditions aux limites sur la pression et divergence non nulle PDF Author: Hassan Baloui
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Languages : fr
Pages : 0

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Une étude numérique du comportement asymptotique des solutions des équations de Navier-Stokes avec des conditions aux limites sur la pression et divergence non nulle

Une étude numérique du comportement asymptotique des solutions des équations de Navier-Stokes avec des conditions aux limites sur la pression et divergence non nulle PDF Author: Hassan Baloui
Publisher:
ISBN:
Category :
Languages : fr
Pages : 156

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Ce travail traite de la simulation numérique des équations de Navier Stokes et Euler pour un fluide non homogène avec des conditions aux limites sur la pression et divergence non nulle. Dans un premier temps, on linéarise en partie le problème en découplant la densité du reste du système. La difficulté principale pour le traitement numérique des équations provient de l'équation sur la divergence non nulle (fluide échangeant de la chaleur avec le milieu extérieur). La discrétisation en espace, est opérée par la méthode des moindres carrés en formalisme éléments finis. La non linéarité du problème, est ensuite conservée en utilisant un schéma d'Euler implicite en temps et une méthode de newton Krylov en espace. On montre que, a partir d'un certain temps t* inversement proportionnel a la divergence, des oscillations de la densité apparaissent donnant ainsi un comportement instable a tout le système

Asymptotic Analysis and Boundary Layers

Asymptotic Analysis and Boundary Layers PDF Author: Jean Cousteix
Publisher: Springer Science & Business Media
ISBN: 3540464891
Category : Science
Languages : en
Pages : 437

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This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

Applied Analysis of the Navier-Stokes Equations

Applied Analysis of the Navier-Stokes Equations PDF 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.

Navier—Stokes Equations

Navier—Stokes Equations PDF 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.

Mathematical Analysis and Numerical Methods for Science and Technology

Mathematical Analysis and Numerical Methods for Science and Technology PDF Author: Robert Dautray
Publisher: Springer Science & Business Media
ISBN: 9783540661023
Category : Mathematics
Languages : en
Pages : 506

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Book Description
These six volumes--the result of a ten year collaboration between two distinguished international figures--compile the mathematical knowledge required by researchers in mechanics, physics, engineering, chemistry and other branches of application of mathematics for the theoretical and numerical resolution of physical models on computers. It is a comprehensive and up-to-date publication that presents the mathematical tools needed in applications of mathematics.

Notions de base d'analyse numérique des équations de Navier-Stokes

Notions de base d'analyse numérique des équations de Navier-Stokes PDF Author: Jean-Luc Guermond
Publisher:
ISBN:
Category :
Languages : fr
Pages : 72

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Publications Du Laboratoire D'analyse Numérique

Publications Du Laboratoire D'analyse Numérique PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 410

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Dynamical Systems

Dynamical Systems PDF Author: Ludwig Arnold
Publisher: Springer
ISBN: 3540494154
Category : Mathematics
Languages : en
Pages : 336

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This volume contains the lecture notes written by the four principal speakers at the C.I.M.E. session on Dynamical Systems held at Montecatini, Italy in June 1994. The goal of the session was to illustrate how methods of dynamical systems can be applied to the study of ordinary and partial differential equations. Topics in random differential equations, singular perturbations, the Conley index theory, and non-linear PDEs were discussed. Readers interested in asymptotic behavior of solutions of ODEs and PDEs and familiar with basic notions of dynamical systems will wish to consult this text.

Equations de Navier-Stokes

Equations de Navier-Stokes PDF Author: Luc Tartar
Publisher:
ISBN:
Category :
Languages : fr
Pages : 29

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