Stable Numerical Schemes for Fluids Structures and their Interactions

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

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  • Author : Cornel Marius Murea
  • Publisher : Elsevier
  • Pages : 208 pages
  • ISBN : 0081023804
  • Rating : 4/5 from 21 reviews
CLICK HERE TO GET THIS BOOKStable Numerical Schemes for Fluids Structures and their Interactions

Stable Numerical Schemes for Fluids, Structures and their Interactions

Stable Numerical Schemes for Fluids, Structures and their Interactions
  • Author : Cornel Marius Murea
  • Publisher : Elsevier
  • Release : 01 September 2017
GET THIS BOOKStable Numerical Schemes for Fluids, Structures and their Interactions

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

Numerical Simulation, An Art of Prediction 1

Numerical Simulation, An Art of Prediction 1
  • Author : Jean-François Sigrist
  • Publisher : John Wiley & Sons
  • Release : 02 January 2020
GET THIS BOOKNumerical Simulation, An Art of Prediction 1

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

Numerical Simulation, An Art of Prediction, Volume 2

Numerical Simulation, An Art of Prediction, Volume 2
  • Author : Jean-François Sigrist
  • Publisher : John Wiley & Sons
  • Release : 09 January 2020
GET THIS BOOKNumerical Simulation, An Art of Prediction, Volume 2

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

Fluid Structure Interaction II

Fluid Structure Interaction II
  • Author : Hans-Joachim Bungartz,Miriam Mehl,Michael Schäfer
  • Publisher : Springer Science & Business Media
  • Release : 28 September 2010
GET THIS BOOKFluid Structure Interaction II

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

Fluid-Solid Interaction Dynamics

Fluid-Solid Interaction Dynamics
  • Author : Jing Tang Xing
  • Publisher : Academic Press
  • Release : 30 August 2019
GET THIS BOOKFluid-Solid Interaction Dynamics

Fluid-Solid Interaction Dynamics: Theory, Variational Principles, Numerical Methods and Applications gives a comprehensive accounting of fluid-solid interaction dynamics, including theory, numerical methods and their solutions for various FSI problems in engineering. The title provides the fundamental theories, methodologies and results developed in the application of FSI dynamics. Four numerical approaches that can be used with almost all integrated FSI systems in engineering are presented. Methods are linked with examples to illustrate results. In addition, numerical results are compared with available

Coupling of Fluids, Structures and Waves in Aeronautics

Coupling of Fluids, Structures and Waves in Aeronautics
  • Author : Noel G. Barton
  • Publisher : Springer Science & Business Media
  • Release : 08 August 2003
GET THIS BOOKCoupling of Fluids, Structures and Waves in Aeronautics

This volume contains the proceedings of a workshop held in Melbourne, Australia, entitled "Coupling of Fluids, Structures and Waves in Aeronautics". The 22 papers deal with new computational methods for multi-disciplinary design in aeronautics. They are grouped into chapters on fluids, structures, electromagnetics, optimisation, mathematical methods and tools, and aircraft design. Several papers treat coupling of these themes in a multi-physics setting. Included is a 17-page report of a Round Table discussion entitled "Future Tools for Design and Manufacture of Innovative

Computational Methods for Fluid-Structure Interaction

Computational Methods for Fluid-Structure Interaction
  • Author : Jean-Marie Crolet,Roger Ohayon
  • Publisher : CRC Press
  • Release : 05 April 1994
GET THIS BOOKComputational Methods for Fluid-Structure Interaction

Fluid-structure interaction is a new theme of investigation in computational methods, covering many applications in both engineering and medical sciences. This book deals with various examples of interaction between a fluid and a structure, and each author presents, for the different problems involved, the method which is considered to be the most appropriate.

Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction

Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction
  • Author : M'hamed Souli,David J. Benson
  • Publisher : John Wiley & Sons
  • Release : 01 March 2013
GET THIS BOOKArbitrary Lagrangian Eulerian and Fluid-Structure Interaction

This book provides the fundamental basics for solving fluidstructure interaction problems, and describes different algorithmsand numerical methods used to solve problems where fluid andstructure can be weakly or strongly coupled. These approaches areillustrated with examples arising from industrial or academicapplications. Each of these approaches has its own performance andlimitations. Given the book’s comprehensive coverage,engineers, graduate students and researchers involved in thesimulation of practical fluid structure interaction problems willfind this book extremely useful.

Fluid-structure Interactions

Fluid-structure Interactions
  • Author : Thomas Richter
  • Publisher : Springer
  • Release : 26 August 2017
GET THIS BOOKFluid-structure Interactions

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

Computational Fluid-Structure Interaction

Computational Fluid-Structure Interaction
  • Author : Yuri Bazilevs,Kenji Takizawa,Tayfun E. Tezduyar
  • Publisher : John Wiley & Sons
  • Release : 25 January 2013
GET THIS BOOKComputational Fluid-Structure Interaction

Computational Fluid-Structure Interaction: Methods andApplications takes the reader from the fundamentals ofcomputational fluid and solid mechanics to the state-of-the-art incomputational FSI methods, special FSI techniques, and solution ofreal-world problems. Leading experts in the field present thematerial using a unique approach that combines advanced methods,special techniques, and challenging applications. This book begins with the differential equations governing thefluid and solid mechanics, coupling conditions at thefluid–solid interface, and the basics of the finite elementmethod. It continues with the ALE and

Fluid-Structure Interaction and Biomedical Applications

Fluid-Structure Interaction and Biomedical Applications
  • Author : Tomáš Bodnár,Giovanni P. Galdi,Šárka Nečasová
  • Publisher : Springer
  • Release : 13 October 2014
GET THIS BOOKFluid-Structure Interaction and Biomedical Applications

This book presents, in a methodical way, updated and comprehensive descriptions and analyses of some of the most relevant problems in the context of fluid-structure interaction (FSI). Generally speaking, FSI is among the most popular and intriguing problems in applied sciences and includes industrial as well as biological applications. Various fundamental aspects of FSI are addressed from different perspectives, with a focus on biomedical applications. More specifically, the book presents a mathematical analysis of basic questions like the well-posedness of

Developing Numerical Methods for Fully-coupled Nonlinear Fluid-structure Interaction Problems

Developing Numerical Methods for Fully-coupled Nonlinear Fluid-structure Interaction Problems
  • Author : Alireza Naseri
  • Publisher : Unknown Publisher
  • Release : 20 January 2021
GET THIS BOOKDeveloping Numerical Methods for Fully-coupled Nonlinear Fluid-structure Interaction Problems

This thesis is dedicated to developing numerical methods to solve fluid-structure interaction (FSI) problems. FSI features in a vast range of physical systems and has a wide application in engineering. The work of this thesis is focused on the partitioned methods, mostly due to their features of modularity, robustness and reliability. In a partitioned approach, separate solvers are used for the fluid and structural sub-problem domains and a coupling method is devised to account for their mutual interaction. Moreover, the

Cardiovascular Mathematics

Cardiovascular Mathematics
  • Author : Luca Formaggia,Alfio Quarteroni,Allesandro Veneziani
  • Publisher : Springer Science & Business Media
  • Release : 27 June 2010
GET THIS BOOKCardiovascular Mathematics

Mathematical models and numerical simulations can aid the understanding of physiological and pathological processes. This book offers a mathematically sound and up-to-date foundation to the training of researchers and serves as a useful reference for the development of mathematical models and numerical simulation codes.