Level Set Methods for Fluid-Structure Interaction

Zusatztext

<p>This monograph is devoted to Eulerian models for fluid-structure interaction by applying the original point of view of level set methods.</p><p>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.</p>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.<p></p><p>Assuming background at the level of a Masters degree, <i>Level Set Methods for Fluid-Structure Interaction</i> 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.</p><p><br></p>

Autorenportrait

<div><b>Georges-Henri Cottet</b> is Professor Emeritus at the University of Grenoble-Alpes and honorary member of the Institut Universitaire de France. A specialist in the numerical analysis of partial differential equations, he is interested in numerical methods applied to fluid mechanics, fluid-structure interaction problems and image processing.</div><div> </div><div><b>Emmanuel Maitre</b> 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.</div><div> </div><div><b>Thomas Milcent</b> is Assistant Professor at Arts et Métiers Bordeaux. His research focuses on numerical methods for fluid-structure interaction and interface transport.</div><div> </div>

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