Authors:
- Discusses basic modeling aspects, discretization details and efficient implementation
- Offers an overview of robust monolithic approaches, including modern techniques for large deformation and contact
- Provides examples, including optimization and goal-oriented error estimation
Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 118)
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Table of contents (12 chapters)
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Front Matter
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Fundamentals
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Front Matter
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Back Matter
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.
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Authors and Affiliations
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Institut für Analysis und Numerik, Universität Magdeburg, Magdeburg, Germany
Thomas Richter
Bibliographic Information
Book Title: Fluid-structure Interactions
Book Subtitle: Models, Analysis and Finite Elements
Authors: Thomas Richter
Series Title: Lecture Notes in Computational Science and Engineering
DOI: https://doi.org/10.1007/978-3-319-63970-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing AG 2017
Hardcover ISBN: 978-3-319-63969-7Published: 27 August 2017
Softcover ISBN: 978-3-319-87685-6Published: 11 August 2018
eBook ISBN: 978-3-319-63970-3Published: 26 August 2017
Series ISSN: 1439-7358
Series E-ISSN: 2197-7100
Edition Number: 1
Number of Pages: XVIII, 436
Number of Illustrations: 95 b/w illustrations, 25 illustrations in colour
Topics: 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