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Ouvrages Année : 2022

Level Set Methods for Fluid-Structure Interaction

Georges-Henri Cottet
Emmanuel Maitre
Thomas Milcent
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Résumé

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.

Dates et versions

hal-04065679 , version 1 (12-04-2023)

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Copyright (Tous droits réservés)

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Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent. Level Set Methods for Fluid-Structure Interaction. Springer, 2022, Applied Mathematical Sciences, 978-3-031-08658-8. ⟨10.1007/978-3-031-08659-5⟩. ⟨hal-04065679⟩
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