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Level Set Methods for Fluid-Structure Interaction, 1 Ed.
◆Springer Yellow セール開催中！：2025年6月29日(日)ご注文分まで
※上記表示の販売価格は割引適用後の価格です 出版済み 3週間でお届けいたします。 Series: Applied Mathematical Sciences, Vol. 210 Author: Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Publisher: Springer ISBN: 9783031086588 Cover: HARDCOVER Date: 2022年09月 DESCRIPTION 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. TABLE OF CONTENTS Level Set Methods and Lagrangian Interfaces Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 1-37 Mathematical Tools for Continuum Mechanics Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 39-52 Interaction of an Incompressible Fluid with an Elastic Membrane Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 53-97 Immersed Bodies in a Fluid: The Case of Elastic Bodies Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 99-124 Immersed Bodies in Incompressible Fluids: The Case of Rigid Bodies Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 125-141 Computing Interactions Between Solids by Level Set Methods Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 143-160 Annex Georges-Henri Cottet, Emmanuel Maitre, Thomas Milcent Pages 161-187
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