Methodes Level Set Pour L Interaction Fluide Structure
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Level Set Methods for Fluid-Structure Interaction
Author: Georges-Henri Cottet
language: en
Publisher: Springer Nature
Release Date: 2022-09-10
This 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.
Méthodes Level Set pour l'interaction fluide-structure
Author: Georges-Henri Cottet
language: fr
Publisher: Springer Nature
Release Date: 2021-04-27
Les modèles eulériens sont devenus dans les quinze dernières années des outils populaires pour étudier les interactions fluide-structure, car, au contraire des méthodes plus classiques de type ALE, ils permettent de résoudre numériquement ces problèmes en se ramenant à une grille et une méthode de résolution unique pour les différents milieux. Ce livre s’intéresse à cette classe de modèles en adoptant le point de vue original des méthodes level-set, utilisées à la fois pour suivre les interfaces fluide-solide, représenter les contraintes élastiques des solides et modéliser les forces de contact entre solides. Il combine un éclairage mathématique des modèles, des aspects d’analyse numérique, des codes élémentaires et des illustrations numériques permettant au lecteur de se faire une idée des domaines d’application et des performances de ces modèles. Les pré-requis nécessaires pour profiter pleinement de son contenu font partie du bagage scientifique d’élèves de niveau master en mathématiques appliquées ou mécanique théorique. Il sera un outil pédagogique fructueux pour des cours de deuxième année de master ou de début de thèse, ainsi que pour des chercheurs voulant aborder ou approfondir ce domaine.
Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction
This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.