Fluid-structure Interactions
Models, Analysis and Finite Elements
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Beschreibung
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.
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
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
Autor*in
Thomas Richter
Themen in »Fluid-structure Interactions«
Fluid-Structure Interactions Finite Elements Monolithic Coupling ALE Fully Eulerian partial differential equations
Stimmen zu »Fluid-structure Interactions«
“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)
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