Modélisation, analyse mathématique et applications numériques de problèmes d'interaction fluide-structure instationnaires
Author: Paul Métier
Publisher:
Published: 2003
Total Pages: 226
ISBN-13:
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Modélisation et analyse mathématique de problèmes d'interaction fluide-structure
Author: Muriel Boulakia
Publisher:
Published: 2004
Total Pages: 184
ISBN-13:
DOWNLOAD EBOOKCette thèse traite des problèmes d'interaction fluide-structure. Deux familles de problèmes sont présentées : l'interaction entre une structure élastique et un fluide incompressible etl'interaction entre une structure élastique et un fluide compressible. La structure est immergée dans le fluide et l'ensemble évolue dans une cavité fixe bornée. Le mouvement du solide se compose d'un mouvement rigide (translation et rotation) et d'un mouvement élastique. Dans l'équation du mouvement solide, on ajoute un terme qui régularise la déformation élastique. Après avoir justifié le modèle étudié, on montre des résultats d'existence de solutions faibles définies tant qu'il n'y a pas de chocs entre la structure et la paroi de la cavité et tant que des conditions de non-interpénétration et de préservation de l'orientation du solide sont satisfaites.
Fluids and Waves
Author: Fernanda Botelho
Publisher: American Mathematical Soc.
Published: 2007
Total Pages: 298
ISBN-13: 0821842471
DOWNLOAD EBOOKThis volume contains a series of articles on wave phenomena and fluid dynamics, highlighting recent advances in these two areas of mathematics. The collection is based on lectures presented at the conference Fluids and Waves--Recent Trends in Applied Analysis and features a rich spectrum of mathematical techniques in analysis and applications to engineering, neuroscience, physics, and biology. The mathematical topics discussed range from partial differential equations, dynamical systems and stochastic processes, to areas of classical analysis. This volume is intended as an introduction to major topics of interest and state-of-the-art analytical research in wave motion and fluid flows.
Fluid-structure Interactions
Author: Thomas Richter
Publisher: Springer
Published: 2017-08-26
Total Pages: 452
ISBN-13: 3319639706
DOWNLOAD EBOOKThis book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.
Numerical Methods for Hyperbolic and Kinetic Problems
Author: Stéphane Cordier
Publisher: European Mathematical Society
Published: 2005
Total Pages: 372
ISBN-13: 9783037190128
DOWNLOAD EBOOKHyperbolic 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.
Level Set Methods for Fluid-Structure Interaction
Author: Georges-Henri Cottet
Publisher: Springer Nature
Published: 2022-09-10
Total Pages: 203
ISBN-13: 3031086597
DOWNLOAD EBOOKThis monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods. In the last 15 years, Eulerian models have become popular tools for studying fluid-structure interaction problems. One major advantage compared to more conventional methods such as ALE methods is that they allow the use of a single grid and a single discretization method for the different media. Level set methods in addition provide a general framework to follow the fluid-solid interfaces, to represent the elastic stresses of solids, and to model the contact forces between solids. This book offers a combination of mathematical modeling, aspects of numerical analysis, elementary codes and numerical illustrations, providing the reader with insights into the applications and performance of these models. Assuming background at the level of a Master’s degree, Level Set Methods for Fluid-Structure Interaction provides researchers in the fields of numerical analysis of PDEs, theoretical and computational mechanics with a basic reference on the topic. Its pedagogical style and organization make it particularly suitable for graduate students and young researchers.
Fluid Structure Interaction II
Author: Hans-Joachim Bungartz
Publisher: Springer
Published: 2010-09-30
Total Pages: 432
ISBN-13: 9783642142055
DOWNLOAD EBOOKFluid-structure interactions (FSI), i.e., the interplay of some moveable or deformable structure with an internal or surrounding fluid, are among the most widespread and most challenging coupled or multi-physics problems. Although much has been accomplished in developing good computational FSI methods and despite convincing solutions to a number of classes of problems including those presented in this book, there is a need for more comprehensive studies showing that the computational methods proposed are reliable, robust, and efficient beyond the classes of problems they have successfully been applied to.This volume of LNCSE, a sequel to vol. 53, which contained, among others, the first numerical benchmark for FSI problems and has received considerable attention since then, presents a collection of papers from the "First International Workshop on Computational Engineering - special focus FSI," held in Herrsching in October 2009 and organized by three DFG-funded consortia. The papers address all relevant aspects of FSI simulation and discuss FSI from the mathematical, informatical, and engineering perspective.
Fluid-Structure Interaction
Author: Stefan Frei
Publisher: Walter de Gruyter GmbH & Co KG
Published: 2017-11-20
Total Pages: 442
ISBN-13: 311049258X
DOWNLOAD EBOOKThis monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. Contents Part I: Modeling and discretization On the implementation and benchmarking of an extended ALE method for FSI problems The locally adapted parametric finite element method for interface problems on triangular meshes An accurate Eulerian approach for fluid-structure interactions Part II: Solvers Numerical methods for unsteady thermal fluid structure interaction Recent development of robust monolithic fluid-structure interaction solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: Applications Fluid-structure interaction for vascular flows: From supercomputers to laptops Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations Coupling fluid-structure interaction with phase-field fracture: Algorithmic details
Biology and Mechanics of Blood Flows
Author: Marc Thiriet
Publisher: Springer Science & Business Media
Published: 2007-12-20
Total Pages: 468
ISBN-13: 0387748490
DOWNLOAD EBOOKThis authoritative book presents the basic knowledge and state-of-the-art techniques necessary to carry out investigations of the cardiovascular system using modeling and simulation. This volume contains chapters on anatomy, physiology, continuum mechanics, as well as pathological changes in the vasculature walls including the heart and their treatments. Methods of numerical simulations are given and illustrated in particular by application to wall diseases.
Mathematical Modelling of the Human Cardiovascular System
Author: Alfio Quarteroni
Publisher: Cambridge University Press
Published: 2019-05-09
Total Pages: 291
ISBN-13: 110848039X
DOWNLOAD EBOOKAddresses the mathematical and numerical modelling of the human cardiovascular system, from patient data to clinical applications.
