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Fluid-structure Interactions : Models, Analysis and Finite Elements /

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-struc...

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Bibliographic Details
Main Authors: Richter, Thomas
Corporate Authors: SpringerLink Online service
Published: Springer International Publishing : Imprint: Springer,
Publisher Address: Cham :
Publication Dates: 2017.
Literature type: eBook
Language: English
Series: Lecture Notes in Computational Science and Engineering, 118
Subjects:
Mathematics
Numerical analysis
Partial differential equations
Mathematical physics
Computer mathematics
Computational Mathematics and Numerical Analysis
Numerical and Computational Physics, Simulation
Mathematical Applications in the Physical Sciences
Numeric Computing
Classical and Continuum Physics
Online Access: http://dx.doi.org/10.1007/978-3-319-63970-3
Summary: 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 provid
Carrier Form: 1 online resource (XVIII, 436 pages): illustrations.
ISBN: 9783319639703
Index Number: QA71
CLC: O241
Contents: Part I Fundamentals -- Introduction -- Models -- Coupled Fluid -Structure Interactions -- Discretization -- Part II Numerical Realization -- ALE Formulation for Fluid-Structure Interactions -- Fully Eulerian Formulation for Fluid-Structure Interactions -- Linear Solvers for Fluid-Structure Interactions -- Error Estimation and Adaptivity -- Part III Applications -- Optimization with fluid-structure interactions -- Mechano-chemical fluid-structure interactions and active materials -- Non-Stationary Dynamics and Coupled Oscillations -- Fluid-Structure Interaction with contact -- References -- I

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