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 : 08 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 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

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
  • Author : Siamak Amini,Paul J. Harris,David T. Wilton
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
GET THIS BOOKCoupled Boundary and Finite Element Methods for the Solution of the Dynamic Fluid-Structure Interaction Problem

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

Computational Fluid and Solid Mechanics

Computational Fluid and Solid Mechanics
  • Author : K.J. Bathe
  • Publisher : Elsevier
  • Release : 21 May 2001
GET THIS BOOKComputational Fluid and Solid Mechanics

The MIT mission - "to bring together Industry and Academia and to nurture the next generation in computational mechanics is of great importance to reach the new level of mathematical modeling and numerical solution and to provide an exciting research environment for the next generation in computational mechanics." Mathematical modeling and numerical solution is today firmly established in science and engineering. Research conducted in almost all branches of scientific investigations and the design of systems in practically all disciplines of

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

Advances in Computational Fluid-Structure Interaction and Flow Simulation

Advances in Computational Fluid-Structure Interaction and Flow Simulation
  • Author : Yuri Bazilevs,Kenji Takizawa
  • Publisher : Birkhäuser
  • Release : 04 October 2016
GET THIS BOOKAdvances in Computational Fluid-Structure Interaction and Flow Simulation

This contributed volume celebrates the work of Tayfun E. Tezduyar on the occasion of his 60th birthday. The articles it contains were born out of the Advances in Computational Fluid-Structure Interaction and Flow Simulation (AFSI 2014) conference, also dedicated to Prof. Tezduyar and held at Waseda University in Tokyo, Japan on March 19-21, 2014. The contributing authors represent a group of international experts in the field who discuss recent trends and new directions in computational fluid dynamics (CFD) and fluid-structure interaction (FSI).

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 : 21 January 2022
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

Numerical Methods for Reliability and Safety Assessment

Numerical Methods for Reliability and Safety Assessment
  • Author : Seifedine Kadry,Abdelkhalak El Hami
  • Publisher : Springer
  • Release : 30 September 2014
GET THIS BOOKNumerical Methods for Reliability and Safety Assessment

This book offers unique insight on structural safety and reliability by combining computational methods that address multiphysics problems, involving multiple equations describing different physical phenomena and multiscale problems, involving discrete sub-problems that together describe important aspects of a system at multiple scales. The book examines a range of engineering domains and problems using dynamic analysis, nonlinear methods, error estimation, finite element analysis and other computational techniques. This book also: · Introduces novel numerical methods · Illustrates new practical applications · Examines recent engineering

Coupling of Fluids, Structures and Waves in Aeronautics

Coupling of Fluids, Structures and Waves in Aeronautics
  • Author : Noel G. Barton,Jacques Periaux
  • Publisher : Springer Science & Business Media
  • Release : 06 December 2012
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.

Computational Mechanics of Fluid-Structure Interaction

Computational Mechanics of Fluid-Structure Interaction
  • Author : Rajeev Kumar Jaiman,Vaibhav Joshi
  • Publisher : Springer Nature
  • Release : 29 November 2021
GET THIS BOOKComputational Mechanics of Fluid-Structure Interaction

This book is intended to provide a compilation of the state-of-the-art numerical methods for nonlinear fluid-structure interaction using the moving boundary Lagrangian-Eulerian formulation. Single and two-phase viscous incompressible fluid flows are considered with the increasing complexity of structures ranging from rigid-body, linear elastic and nonlinear large deformation to fully-coupled flexible multibody system. This book is unique with regard to computational modeling of such complex fluid-structure interaction problems at high Reynolds numbers, whereby various coupling techniques are introduced and systematically discussed.

Numerical Mathematics and Advanced Applications 2011

Numerical Mathematics and Advanced Applications 2011
  • Author : Andrea Cangiani,Ruslan L Davidchack,Emmanuil Georgoulis,Alexander N. Gorban,Jeremy Levesley,Michael V. Tretyakov
  • Publisher : Springer Science & Business Media
  • Release : 20 January 2013
GET THIS BOOKNumerical Mathematics and Advanced Applications 2011

The European Conferences on Numerical Mathematics and Advanced Applications (ENUMATH) are a series of conferences held every two years to provide a forum for discussion of new trends in numerical mathematics and challenging scientific and industrial applications at the highest level of international expertise. ENUMATH 2011 was hosted by the University of Leicester (UK) from the 5th to 9th September 2011. This proceedings volume contains more than 90 papers by speakers of the conference and gives an overview of recent developments in scientific

Fluid-Structure Interaction

Fluid-Structure Interaction
  • Author : Stefan Frei,Bärbel Holm,Thomas Richter,Thomas Wick,Huidong Yang
  • Publisher : Walter de Gruyter GmbH & Co KG
  • Release : 20 November 2017
GET THIS BOOKFluid-Structure Interaction

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