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Adaptive Finite Element Approximation of Fluid Structure Interaction Based on Eulerian and Arbitrary Lagrangian-Eulerian Variational Formulations

2007
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Release : 2007
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Kind : eBook
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Book Synopsis Adaptive Finite Element Approximation of Fluid Structure Interaction Based on Eulerian and Arbitrary Lagrangian-Eulerian Variational Formulations by : Thomas Dunne

Download or read book Adaptive Finite Element Approximation of Fluid Structure Interaction Based on Eulerian and Arbitrary Lagrangian-Eulerian Variational Formulations written by Thomas Dunne. This book was released on 2007. Available in PDF, EPUB and Kindle. Book excerpt:

Fluid-Structure Interaction

2017-11-20 Mathematics
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Release : 2017-11-20
Genre : Mathematics
Kind : eBook
Book Rating : 58X/5 ( reviews)

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Book Synopsis Fluid-Structure Interaction by : Stefan Frei

Download or read book Fluid-Structure Interaction written by Stefan Frei. This book was released on 2017-11-20. Available in PDF, EPUB and Kindle. Book excerpt: This monograph discusses modeling, adaptive discretisation techniques and the numerical solution of fluid structure interaction. An emphasis in part I lies on innovative discretisation and advanced interface resolution techniques. The second part covers the efficient and robust numerical solution of fluid-structure interaction. In part III, recent advances in the application fields vascular flows, binary-fluid-solid interaction, and coupling to fractures in the solid part are presented. Moreover each chapter provides a comprehensive overview in the respective topics including many references to concurring state-of-the art work. Contents Part I: Modeling and discretization On the implementation and benchmarking of an extended ALE method for FSI problems The locally adapted parametric finite element method for interface problems on triangular meshes An accurate Eulerian approach for fluid-structure interactions Part II: Solvers Numerical methods for unsteady thermal fluid structure interaction Recent development of robust monolithic fluid-structure interaction solvers A monolithic FSI solver applied to the FSI 1,2,3 benchmarks Part III: Applications Fluid-structure interaction for vascular flows: From supercomputers to laptops Binary-fluid–solid interaction based on the Navier–Stokes–Cahn–Hilliard Equations Coupling fluid-structure interaction with phase-field fracture: Algorithmic details

Fluid-structure Interactions

2017-08-26 Mathematics
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Release : 2017-08-26
Genre : Mathematics
Kind : eBook
Book Rating : 706/5 ( reviews)

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Book Synopsis Fluid-structure Interactions by : Thomas Richter

Download or read book Fluid-structure Interactions written by Thomas Richter. This book was released on 2017-08-26. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction

2013-03-01 Technology & Engineering
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Release : 2013-03-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 688/5 ( reviews)

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Book Synopsis Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction by : M'hamed Souli

Download or read book Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction written by M'hamed Souli. This book was released on 2013-03-01. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the fundamental basics for solving fluid structure interaction problems, and describes different algorithms and numerical methods used to solve problems where fluid and structure can be weakly or strongly coupled. These approaches are illustrated with examples arising from industrial or academic applications. Each of these approaches has its own performance and limitations. The added mass technique is described first. Following this, for general coupling problems involving large deformation of the structure, the Navier-Stokes equations need to be solved in a moving mesh using an ALE formulation. The main aspects of the fluid structure coupling are then developed. The first and by far simplest coupling method is explicit partitioned coupling. In order to preserve the flexibility and modularity that are inherent in the partitioned coupling, we also describe the implicit partitioned coupling using an iterative process. In order to reduce computational time for large-scale problems, an introduction to the Proper Orthogonal Decomposition (POD) technique applied to FSI problems is also presented. To extend the application of coupling problems, mathematical descriptions and numerical simulations of multiphase problems using level set techniques for interface tracking are presented and illustrated using specific coupling problems. Given the book's comprehensive coverage, engineers, graduate students and researchers involved in the simulation of practical fluid structure interaction problems will find this book extremely useful.

Multiphysics Phase-Field Fracture

2020-10-12 Mathematics
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Release : 2020-10-12
Genre : Mathematics
Kind : eBook
Book Rating : 191/5 ( reviews)

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Book Synopsis Multiphysics Phase-Field Fracture by : Thomas Wick

Download or read book Multiphysics Phase-Field Fracture written by Thomas Wick. This book was released on 2020-10-12. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is centered on mathematical modeling, innovative numerical algorithms and adaptive concepts to deal with fracture phenomena in multiphysics. State-of-the-art phase-field fracture models are complemented with prototype explanations and rigorous numerical analysis. These developments are embedded into a carefully designed balance between scientific computing aspects and numerical modeling of nonstationary coupled variational inequality systems. Therein, a focus is on nonlinear solvers, goal-oriented error estimation, predictor-corrector adaptivity, and interface conditions. Engineering applications show the potential for tackling practical problems within the fields of solid mechanics, porous media, and fluidstructure interaction.

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