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Stable Numerical Schemes for Fluids, Structures and their Interactions

Stable Numerical Schemes for Fluids, Structures and their Interactions PDF Author: Cornel Marius Murea
Publisher: Elsevier
ISBN: 0081023804
Category : Technology & Engineering
Languages : en
Pages : 210

Book Description
This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering. - Presents a self-contained monograph of schemes for fluid and elastic structures, including their interactions - Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations - Covers dynamic linear and non-linear elasticity and fluid-structure interaction

Stable Numerical Schemes for Fluids, Structures and their Interactions

Stable Numerical Schemes for Fluids, Structures and their Interactions PDF Author: Cornel Marius Murea
Publisher: Elsevier
ISBN: 0081023804
Category : Technology & Engineering
Languages : en
Pages : 210

Book Description
This book presents numerical algorithms for solving incompressible fluids, elastic structures and fluid-structure interactions. It collects some of the fundamental finite element methods as well as new approaches.For Stokes and Navier-Stokes equations, the mixed finite element method is employed. An arbitrary Lagrangian Eulerian framework is used for fluids in a moving domain. Schemes for linear and St Venant-Kirchhoff non-linear dynamic elasticity are presented. For fluid-structure interaction, two schemes are analyzed: the first is fully implicit and the second is semi-implicit, where the fluid domain is computed explicitly and consequently the computational time is considerably reduced.The stability of the schemes is proven in this self-contained book. Every chapter is supplied with numerical tests for the reader. These are aimed at Masters students in Mathematics or Mechanical Engineering. - Presents a self-contained monograph of schemes for fluid and elastic structures, including their interactions - Provides a numerical analysis of schemes for Stokes and Navier-Stokes equations - Covers dynamic linear and non-linear elasticity and fluid-structure interaction

Fluid-structure Interactions

Fluid-structure Interactions PDF Author: Thomas Richter
Publisher: Springer
ISBN: 3319639706
Category : Mathematics
Languages : en
Pages : 452

Book Description
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.

Fluid-Structure Interaction

Fluid-Structure Interaction PDF Author: Hans-Joachim Bungartz
Publisher: Springer Science & Business Media
ISBN: 3540345965
Category : Technology & Engineering
Languages : en
Pages : 401

Book Description
This volume in the series Lecture Notes in Computational Science and Engineering presents a collection of papers presented at the International Workshop on FSI, held in October 2005 in Hohenwart and organized by DFG's Research Unit 493 "FSI: Modeling, Simulation, and Optimization". The papers address partitioned and monolithic coupling approaches, methodical issues and applications, and discuss FSI from the mathematical, informatics, and engineering points of view.

Fluid-structure Interaction

Fluid-structure Interaction PDF Author: Cedric Leblond
Publisher: John Wiley & Sons
ISBN: 1394188218
Category : Science
Languages : en
Pages : 404

Book Description
This book provides a comprehensive overview of the numerical simulation of fluid–structure interaction (FSI) for application in marine engineering. Fluid–Structure Interaction details a wide range of modeling methods (numerical, semi-analytical, empirical), calculation methods (finite element, boundary element, finite volume, lattice Boltzmann method) and numerical approaches (reduced order models and coupling strategy, among others). Written by a group of experts and researchers from the naval sector, this book is intended for those involved in research or design who are looking to gain an overall picture of hydrodynamics, seakeeping and performance under extreme loads, noise and vibration. Using a concise, didactic approach, the book describes the ways in which numerical simulation contributes to modeling and understanding fluid–structure interaction for designing and optimizing the ships of the future.

Fluid Structure Interaction II

Fluid Structure Interaction II PDF Author: Hans-Joachim Bungartz
Publisher: Springer Science & Business Media
ISBN: 3642142060
Category : Computers
Languages : en
Pages : 430

Book Description
Fluid-structure interactions (FSI), i.e., the interplay of some moveable or deformable structure with an internal or surrounding fluid, are among the most widespread and most challenging coupled or multi-physics problems. Although much has been accomplished in developing good computational FSI methods and despite convincing solutions to a number of classes of problems including those presented in this book, there is a need for more comprehensive studies showing that the computational methods proposed are reliable, robust, and efficient beyond the classes of problems they have successfully been applied to.This volume of LNCSE, a sequel to vol. 53, which contained, among others, the first numerical benchmark for FSI problems and has received considerable attention since then, presents a collection of papers from the "First International Workshop on Computational Engineering - special focus FSI," held in Herrsching in October 2009 and organized by three DFG-funded consortia. The papers address all relevant aspects of FSI simulation and discuss FSI from the mathematical, informatical, and engineering perspective.

Computational Fluid-Structure Interaction

Computational Fluid-Structure Interaction PDF Author: Yuri Bazilevs
Publisher: John Wiley & Sons
ISBN: 111848357X
Category : Technology & Engineering
Languages : en
Pages : 444

Book Description
Computational Fluid-Structure Interaction: Methods and Applications takes the reader from the fundamentals of computational fluid and solid mechanics to the state-of-the-art in computational FSI methods, special FSI techniques, and solution of real-world problems. Leading experts in the field present the material using a unique approach that combines advanced methods, special techniques, and challenging applications. This book begins with the differential equations governing the fluid and solid mechanics, coupling conditions at the fluid–solid interface, and the basics of the finite element method. It continues with the ALE and space–time FSI methods, spatial discretization and time integration strategies for the coupled FSI equations, solution techniques for the fully-discretized coupled equations, and advanced FSI and space–time methods. It ends with special FSI techniques targeting cardiovascular FSI, parachute FSI, and wind-turbine aerodynamics and FSI. Key features: First book to address the state-of-the-art in computational FSI Combines the fundamentals of computational fluid and solid mechanics, the state-of-the-art in FSI methods, and special FSI techniques targeting challenging classes of real-world problems Covers modern computational mechanics techniques, including stabilized, variational multiscale, and space–time methods, isogeometric analysis, and advanced FSI coupling methods Is in full color, with diagrams illustrating the fundamental concepts and advanced methods and with insightful visualization illustrating the complexities of the problems that can be solved with the FSI methods covered in the book. Authors are award winning, leading global experts in computational FSI, who are known for solving some of the most challenging FSI problems Computational Fluid-Structure Interaction: Methods and Applications is a comprehensive reference for researchers and practicing engineers who would like to advance their existing knowledge on these subjects. It is also an ideal text for graduate and senior-level undergraduate courses in computational fluid mechanics and computational FSI.

Computational Overview of Fluid Structure Interaction

Computational Overview of Fluid Structure Interaction PDF Author: Khaled Ghaedi
Publisher: BoD – Books on Demand
ISBN: 1839691751
Category : Science
Languages : en
Pages : 172

Book Description
Fluid-Structure Interaction (FSI), also known as engineering fluid mechanics, deals with mutual interaction between fluid and structural components. Fluid flow depending on the structural shape, motion, surface, and structural roughness, acts as mechanical forces on the structure. FSI can be seen everywhere in medicine, engineering, aerospace, the sciences, and even our daily life. This book provides the basic concept of fluid flow behavior in interaction with structures, which is crucial for almost all engineering disciplines. Along with the fundamental principles, the book covers a variety of FSI problems ranging from fundamentals of fluid mechanics to plasma physics, wind turbines and their turbulence, heat transfer, magnetohydrodynamics, and dam-reservoir systems.

Numerical Simulation, An Art of Prediction 1

Numerical Simulation, An Art of Prediction 1 PDF Author: Jean-François Sigrist
Publisher: John Wiley & Sons
ISBN: 1786304317
Category : Mathematics
Languages : en
Pages : 276

Book Description
Numerical simulation is a technique of major importance in various technical and scientific fields. Used to understand diverse physical phenomena or to design everyday objects, it plays a major role in innovation in the industrial sector. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the first of two volumes and focuses on the principles, methods and industrial practice of numerical modeling.

Numerical Simulation, An Art of Prediction, Volume 2

Numerical Simulation, An Art of Prediction, Volume 2 PDF Author: Jean-François Sigrist
Publisher: John Wiley & Sons
ISBN: 1119694698
Category : Mathematics
Languages : en
Pages : 380

Book Description
Numerical simulation is a technique of major importance in various technical and scientific fields. Whilst engineering curricula now include training courses dedicated to it, numerical simulation is still not well-known in some economic sectors, and even less so among the general public. Simulation involves the mathematical modeling of the real world, coupled with the computing power offered by modern technology. Designed to perform virtual experiments, digital simulation can be considered as an "art of prediction". Embellished with a rich iconography and based on the testimony of researchers and engineers, this book shines a light on this little-known art. It is the second of two volumes and gives examples of the uses of numerical simulation in various scientific and technical fields: agriculture, industry, Earth and universe sciences, meteorology and climate studies, energy, biomechanics and human and social sciences.

Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem

Coupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem PDF Author: Siamak Amini
Publisher: Springer Science & Business Media
ISBN: 3642517277
Category : Technology & Engineering
Languages : en
Pages : 116

Book Description
This text considers the problem of the dynamic fluid-structure interaction between a finite elastic structure and the acoustic field in an unbounded fluid-filled exterior domain. The exterior acoustic field is modelled through a boundary integral equation over the structure surface. However, the classical boundary integral equation formulations of this problem either have no solutions or do not have unique solutions at certain characteristic frequencies (which depend on the surface geometry) and it is necessary to employ modified boundary integral equation formulations which are valid for all frequencies. The particular approach adopted here involves an arbitrary coupling parameter and the effect that this parameter has on the stability and accuracy of the numerical method used to solve the integral equation is examined. The boundary integral analysis of the exterior acoustic problem is coupled with a finite element analysis of the elastic structure in order to investigate the interaction between the dynamic behaviour of the structure and the associated acoustic field. Recently there has been some controversy over whether or not the coupled problem also suffers from the non-uniqueness problems associated with the classical integral equation formulations of the exterior acoustic problem. This question is resolved by demonstrating that .the solution to the coupled problem is not unique at the characteristic frequencies and that it is necessary to employ an integral equation formulation valid for all frequencies.