Overview
- A self-contained introduction covering both theoretical and numerical aspects
- Provides numerical illustrations of a variety of fluid-structure interaction problems
- Includes codes for hands-on experience of the methods in simple problems
Part of the book series: Applied Mathematical Sciences (AMS, volume 210)
Access this book
Tax calculation will be finalised at checkout
Other ways to access
Table of contents (7 chapters)
-
Front Matter
-
Back Matter
Keywords
About this book
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.
Authors and Affiliations
About the authors
Emmanuel Maitre is Professor at Grenoble INP-UGA. His research focuses on the analysis and numerical simulation of partial differential equations, interface capture methods and numerical optimal transport, with applications in biomechanics and image analysis.
Thomas Milcent is Assistant Professor at Arts et Métiers Bordeaux. His research focuses on numerical methods for fluid-structure interaction and interface transport.
Bibliographic Information
Book Title: Level Set Methods for Fluid-Structure Interaction
Authors: Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent
Series Title: Applied Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-031-08659-5
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2022
Hardcover ISBN: 978-3-031-08658-8Published: 11 September 2022
Softcover ISBN: 978-3-031-08661-8Published: 12 September 2023
eBook ISBN: 978-3-031-08659-5Published: 10 September 2022
Series ISSN: 0066-5452
Series E-ISSN: 2196-968X
Edition Number: 1
Number of Pages: IX, 197
Number of Illustrations: 11 b/w illustrations, 59 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Classical and Continuum Physics, Numerical Analysis, Computational Science and Engineering