Fluid-structure interactions : models, analysis and finite elements

✍ Scribed by Richter, Thomas

• Publisher: Springer
• Year: 2017
• Tongue: English
• Leaves: 452
• Series: Lecture notes in computational science and engineering 118
• Category: Library

✦ Synopsis

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. Read more...

Abstract:

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. Read more...

✦ Table of Contents

Front Matter ....Pages i-xviii
Front Matter ....Pages 1-1
Introduction (Thomas Richter)....Pages 3-10
Models (Thomas Richter)....Pages 11-78
Coupled Fluid-structure Interactions (Thomas Richter)....Pages 79-115
Discretization (Thomas Richter)....Pages 117-199
Front Matter ....Pages 201-201
ALE Formulation for Fluid-structure Interactions (Thomas Richter)....Pages 203-254
Fully Eulerian Formulation for Fluid-structure Interactions (Thomas Richter)....Pages 255-279
Linear Solvers for Fluid-structure Interactions (Thomas Richter)....Pages 281-305
Error Estimation and Adaptivity (Thomas Richter)....Pages 307-353
Front Matter ....Pages 355-356
Optimization with Fluid-structure Interactions (Thomas Richter)....Pages 357-369
Mechano-Chemical Fluid-structure Interactions and Active Materials (Thomas Richter)....Pages 371-386
Non-stationary Dynamics and Coupled Oscillations (Thomas Richter)....Pages 387-397
Fluid-structure Interaction with Contact (Thomas Richter)....Pages 399-416
Back Matter ....Pages 417-444

✦ Subjects

Fluid-structure interaction;TECHNOLOGY & ENGINEERING / Engineering (General);TECHNOLOGY & ENGINEERING / Reference;Mathematics;Computational Mathematics and Numerical Analysis;Numerical and Computational Physics, Simulation;Mathematical Applications in the Physical Sciences;Partial Differential Equations;Numeric Computing;Classical and Continuum Physics