Title: M�thodes Level Set pour l'interaction fluide-structure (Math�matiques et Applications) (French Edition)
Publisher: Springer
Publication Date: 2021
Language: French
ISBN 10: 3030700747
ISBN 13: 9783030700744
Binding: Soft cover
Condition: New

About this title

Synopsis

Les mod�les eul�riens sont devenus dans les quinze derni�res ann�es des outils populaires pour �tudier les interactions fluide-structure, car, au contraire des m�thodes plus classiques de type ALE, ils permettent de r�soudre num�riquement ces probl�mes en se ramenant � une grille et une m�thode de r�solution unique pour les diff�rents milieux.

Ce livre s’int�resse � cette classe de mod�les en adoptant le point de vue original des m�thodes level-set, utilis�es � la fois pour suivre les interfaces fluide-solide, repr�senter les contraintes �lastiques des solides et mod�liser les forces de contact entre solides. Il combine un �clairage math�matique des mod�les, des aspects d’analyse num�rique, des codes �l�mentaires et des illustrations num�riques permettant au lecteur de se faire une id�e des domaines d’application et des performances de ces mod�les.

Les pr�-requis n�cessaires pour profiter pleinement de son contenu font partie du bagage scientifique d’�l�ves de niveau masteren math�matiques appliqu�es ou m�canique th�orique. Il sera un outil p�dagogique fructueux pour des cours de deuxi�me ann�e de master ou de d�but de th�se, ainsi que pour des chercheurs voulant aborder ou approfondir ce domaine.

About the Author

Georges-Henri Cottet est Professeur �merite � l'universit� Grenoble-Alpes et membre honoraire de l'Institut Universitaire de France. Sp�cialiste d'analyse num�rique des �quations aux d�riv�es partielles, il s'int�resse notamment aux mod�les et m�thodes num�riques appliqu�es au traitement d'images, � la m�canique des fluides et au calcul d'interaction fluide-structure.

Emmanuel Maitre est Professeur � Grenoble INP – UGA. Ses recherches portent sur l’analyse et la simulation num�rique des �quations aux d�riv�es partielles, les m�thodes de capture d’interface et le transport optimal num�rique, avec des applications en biom�canique et analyse d’images.

Thomas Milcent est Ma�tre de Conf�rences � Arts et M�tiers Bordeaux. Ses recherches portent sur les m�thodes num�riques pour l’interaction fluide-structure et le transport d’interfaces.

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