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Applied Mathematical Sciences

Applied Mathematical Sciences

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Applied Mathematical Sciences

Cottet, Georges-Henri; Maitre, Emmanuel; Milcent, Thomas

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.


Details

Published by: Springer

Publication Date: 2022-09-11

Format: Hardcover

ISBN-13: 9783031086588

DOI: 10.1007/978-3-031-08659-5

Dimensions: 235cm x155cm

Pages: 197

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