Etude d'un problème d'interaction fluide-structure
Title | Etude d'un problème d'interaction fluide-structure PDF eBook |
Author | Guillaume Delay |
Publisher | |
Pages | 173 |
Release | 2018 |
Genre | |
ISBN |
Ce travail de thèse porte sur l'étude d'un système d'interaction fluide-structure. Nous en traitons de nombreux aspects allant de sa modélisation jusqu'à l'étude de sa stabilisation et de sa simulation numérique. Le premier chapitre du manuscrit aborde la modélisation du système ainsi que l'existence de solutions fortes en temps petits. Le fluide est représenté par les équations de Navier-Stokes incompressibles. La structure est déformable et dépend d'un nombre fini de paramètres. Nous obtenons ses équations en appliquant un principe des travaux virtuels. Le système d'équations final est non linéaire. Nous prouvons l'existence locale d'une solution à ce système, dans un premier temps sur le système linéarisé autour de l'état nul. Puis, nous prouvons l'existence de solutions en temps petits au système non linéaire grâce à un argument de point fixe. Le deuxième chapitre traite de la stabilisation par feedback autour d'un état stationnaire non nul du système présenté dans le Chapitre 1. L'opérateur de feedback est déterminé à partir de l'analyse du problème linéarisé autour de l'état stationnaire et de la résolution d'une équation de Riccati. Le résultat de stabilisation portant sur le système non linéaire requiert des données petites et est obtenu par un argument de point fixe. Le troisième chapitre se concentre sur les aspects numériques de ce problème. La construction de l'opérateur de feedback correspond à la version discrétisée de celle proposée dans le Chapitre 2. Le système fluide-structure est simulé en utilisant une méthode de domaines fictifs.
Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018
Title | Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 PDF eBook |
Author | Gabriel R. Barrenechea |
Publisher | Springer Nature |
Pages | 254 |
Release | 2020-08-11 |
Genre | Mathematics |
ISBN | 3030418006 |
This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.
Computational Methods for Fluid-Structure Interaction
Title | Computational Methods for Fluid-Structure Interaction PDF eBook |
Author | Jean-Marie Crolet |
Publisher | CRC Press |
Pages | 302 |
Release | 1994-04-05 |
Genre | Mathematics |
ISBN | 9780582236912 |
Fluid-structure interaction is a new theme of investigation in computational methods, covering many applications in both engineering and medical sciences. This book deals with various examples of interaction between a fluid and a structure, and each author presents, for the different problems involved, the method which is considered to be the most appropriate.
Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation
Title | Fifth International Conference on Mathematical and Numerical Aspects of Wave Propagation PDF eBook |
Author | Alfredo Berm?dez |
Publisher | SIAM |
Pages | 1062 |
Release | 2000-01-01 |
Genre | Science |
ISBN | 9780898714708 |
This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.
Advances in Critical Flow Dynamics Involving Moving/Deformable Structures with Design Applications
Title | Advances in Critical Flow Dynamics Involving Moving/Deformable Structures with Design Applications PDF eBook |
Author | Marianna Braza |
Publisher | Springer Nature |
Pages | 599 |
Release | 2021-02-10 |
Genre | Technology & Engineering |
ISBN | 3030555941 |
This book reports on the latest knowledge concerning critical phenomena arising in fluid-structure interaction due to movement and/or deformation of bodies. The focus of the book is on reporting progress in understanding turbulence and flow control to improve aerodynamic / hydrodynamic performance by reducing drag, increasing lift or thrust and reducing noise under critical conditions that may result in massive separation, strong vortex dynamics, amplification of harmful instabilities (flutter, buffet), and flow -induced vibrations. Theory together with large-scale simulations and experiments have revealed new features of turbulent flow in the boundary layer over bodies and in thin shear layers immediately downstream of separation. New insights into turbulent flow interacting with actively deformable structures, leading to new ways of adapting and controlling the body shape and vibrations to respond to these critical conditions, are investigated. The book covers new features of turbulent flows in boundary layers over wings and in shear layers immediately downstream: studies of natural and artificially generated fluctuations; reduction of noise and drag; and electromechanical conversion topics. Smart actuators as well as how smart designs lead to considerable benefits compared with conventional methods are also extensively discussed. Based on contributions presented at the IUTAM Symposium “Critical Flow Dynamics involving Moving/Deformable Structures with Design applications”, held in June 18-22, 2018, in Santorini, Greece, the book provides readers with extensive information about current theories, methods and challenges in flow and turbulence control, and practical knowledge about how to use this information together with smart and bio-inspired design tools to improve aerodynamic and hydrodynamic design and safety.
Analyse d'un problème d'interaction fluide-structure avec des conditions aux limites de type frottement à l'interface
Title | Analyse d'un problème d'interaction fluide-structure avec des conditions aux limites de type frottement à l'interface PDF eBook |
Author | Hela Ayed |
Publisher | |
Pages | 127 |
Release | 2017 |
Genre | |
ISBN |
Cette thèse est consacrée à l'analyse mathématique et numérique d'un problème d'interaction fluide-structure stationnaire, couplant un fluide newtonien, visqueux et incompressible, modélisé par les équations de Stokes 2D et une structure déformable, décrite par les équations d'une poutre 1D. Le fluide et la structure sont couplés via une condition aux limites de type frottement à l'interface.Dans l'étude théorique, nous montrons un résultat d'existence et unicité de solutions faibles, dans le cadre de petits déplacements, du problème de couplage fluide structure avec une condition de glissement de type Tresca en utilisant le théorème de point fixe de Schauder.Dans l'analyse numérique, nous étudions d'abord, l'approximation du problème de Stokes avec la condition de Tresca par une méthode d'éléments finis mixtes à quatre champs. Nous montrons ensuite une estimation d'erreur a priori optimale pour des données régulières et nous réalisons des tests numériques. Enfin, nous présentons un algorithme de point fixe pour la simulation numérique du problème couplé avec des conditions aux limites non linéaires.
Numerical Methods for Hyperbolic and Kinetic Problems
Title | Numerical Methods for Hyperbolic and Kinetic Problems PDF eBook |
Author | Stéphane Cordier |
Publisher | European Mathematical Society |
Pages | 372 |
Release | 2005 |
Genre | Differential equations, Hyperbolic |
ISBN | 9783037190128 |
Hyperbolic and kinetic equations arise in a large variety of industrial problems. For this reason, the Summer Mathematical Research Center on Scientific Computing and its Applications (CEMRACS), held at the Center of International Research in Mathematics (CIRM) in Luminy, was devoted to this topic. During a six-week period, junior and senior researchers worked full time on several projects proposed by industry and academia. Most of this work was completed later on, and the present book reflects these results. The articles address modelling issues as well as the development and comparisons of numerical methods in different situations. The applications include multi-phase flows, plasma physics, quantum particle dynamics, radiative transfer, sprays, and aeroacoustics. The text is aimed at researchers and engineers interested in applications arising from modelling and numerical simulation of hyperbolic and kinetic problems.