© 2017

Fluid-structure Interactions

Models, Analysis and Finite Elements


Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 118)

Table of contents

  1. Front Matter
    Pages i-xviii
  2. Fundamentals

    1. Front Matter
      Pages 1-1
    2. Thomas Richter
      Pages 3-10
    3. Thomas Richter
      Pages 11-78
    4. Thomas Richter
      Pages 79-115
    5. Thomas Richter
      Pages 117-199
  3. Numerical Realization

    1. Front Matter
      Pages 201-201
    2. Thomas Richter
      Pages 307-353
  4. Applications

    1. Front Matter
      Pages 355-356
    2. Thomas Richter
      Pages 357-369
    3. Thomas Richter
      Pages 399-416
  5. Back Matter
    Pages 417-444

About this book


This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling. Special attention is given to the derivation of variational formulations for the subproblems describing fluid- and solid-mechanics as well as the coupled fluid-structure interaction problem. Two monolithic formulations for fluid-structure interactions are described in detail: the well-established ALE formulation and the modern Fully Eulerian formulation, which can effectively deal with problems featuring large deformation and contact. Further, the book provides details on state-of-the-art discretization schemes for fluid- and solid-mechanics and considers the special needs of coupled problems with interface-tracking and interface-capturing techniques. Lastly, advanced topics like goal-oriented error estimation, multigrid solution and gradient-based optimization schemes are discussed in the context of fluid-structure interaction problems.


Fluid-Structure Interactions Finite Elements Monolithic Coupling ALE Fully Eulerian

Authors and affiliations

  1. 1.Institut für Analysis und NumerikUniversität MagdeburgMagdeburgGermany

Bibliographic information

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“This book provides an introduction to modeling, analysis and simulation techniques for fluid-structure interactions. ... Some examples illustrate presented models and methods. This book can be useful to engineers, researchers and students.” (V. Leontiev, zbMATH 1374.76001, 2017)