Level set methods for fluid-structure interaction / Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent.
Cottet, G.-H. (Georges-Henri), 1956- author.; Maitre, Emmanuel, author.; Milcent, Thomas, author.
2022
QC173.4.I57
Available Online

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Title Level set methods for fluid-structure interaction / Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent.
Author Cottet, G.-H. (Georges-Henri), 1956- author.
ISBN 9783031086595 (electronic bk.)
3031086597 (electronic bk.)
9783031086588 (print)
3031086589
DOI https://doi.org/10.1007/978-3-031-08659-5
Published Cham : Springer, 2022.
Language English
Description 1 online resource (ix, 197 pages) : illustrations (some color).
Item Number 10.1007/978-3-031-08659-5 doi
Call Number QC173.4.I57
Dewey Decimal Classification 518/.64
Summary This monograph is devoted to the study of Eulerian models for fluid-structure interaction from 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.
Bibliography, etc. Note Includes bibliographical references.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 13, 2022).
Added Author Maitre, Emmanuel, author.
Milcent, Thomas, author.
Series Applied mathematical sciences (Springer-Verlag New York Inc.) ; v. 210. 2196-968X
Available in Other Form Print version: 9783031086588
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1. Level Set methods and Lagrangian interfaces
2. Mathematical tools for continuum mechanics
3. Interaction of an incompressible fluid with an elastic membrane
4. Immersed bodies : the case of elastic bodies
5. Immersed bodies : the case of rigid bodies
6. Interaction between bodies by the Level Set method
7. Appendix
8. References.

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