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＜E-Book＞
Fluid-structure Interactions : Models, Analysis and Finite Elements / by Thomas Richter
(Lecture Notes in Computational Science and Engineering. ISSN:21977100 ; 118)

Edition	1st ed. 2017.
Publisher	(Cham : Springer International Publishing : Imprint: Springer)
Year	2017
Language	English
Size	XVIII, 436 p. 120 illus., 25 illus. in color : online resource
Authors	*Richter, Thomas author SpringerLink (Online service)
Subjects	LCSH:Mathematics -- Data processing  All Subject Search LCSH:Mathematical physics LCSH:Differential equations LCSH:Numerical analysis LCSH:Physics FREE:Computational Mathematics and Numerical Analysis FREE:Theoretical, Mathematical and Computational Physics FREE:Mathematical Physics FREE:Differential Equations FREE:Numerical Analysis FREE:Classical and Continuum Physics
Notes	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 -- Index 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 HTTP:URL=https://doi.org/10.1007/978-3-319-63970-3

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