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A Novel Numerical Approach to Fluid-structure Interaction Problem

A Novel Numerical Approach to Fluid-structure Interaction Problem
Author: Rahim Usubov
Publisher:
Total Pages: 0
Release: 2021
Genre: Finite differences
ISBN:

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This work develops numerical methods (finite difference methods) for equations of fluid dynamics and equations of elasticity reformulated in the stress variables (as opposed to natural variables) and applies them to the Fluid-Structure Interaction (FSI) problem using a new model based on the level set method. Equations reformulated in stress variables are the stress formulation. Previously some work has been done on numerical methods for stress formulation for the Navier-Stokes equation. This work extends this research to the equations of elasticity. Additionally the current research develops a new model for FSI problems are based on this stress formulation and the level set method. Using this model and new numerical method for FSI problems is developed with some constraints. Some benchmark results are presented.


Fluid-structure Interactions

Fluid-structure Interactions
Author: Thomas Richter
Publisher: Springer
Total Pages: 452
Release: 2017-08-26
Genre: Mathematics
ISBN: 3319639706

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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

Arbitrary Lagrangian Eulerian and Fluid-Structure Interaction
Author: M'hamed Souli
Publisher: John Wiley & Sons
Total Pages: 189
Release: 2013-03-01
Genre: Technology & Engineering
ISBN: 1118618688

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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.


Fluid-Structure Interaction

Fluid-Structure Interaction
Author: Jean-François Sigrist
Publisher: John Wiley & Sons
Total Pages: 309
Release: 2015-10-12
Genre: Science
ISBN: 1119952271

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Fluid-Structure Interaction: An Introduction to Finite Element Coupling fulfils the need for an introductive approach to the general concepts of Finite and Boundary Element Methods for FSI, from the mathematical formulation to the physical interpretation of numerical simulations. Based on the author’s experience in developing numerical codes for industrial applications in shipbuilding and in teaching FSI to both practicing engineers and within academia, it provides a comprehensive and self–contained guide that is geared toward both students and practitioners of mechanical engineering. Composed of six chapters, Fluid–Structure Interaction: An Introduction to Finite Element Coupling progresses logically from formulations and applications involving structure and fluid dynamics, fluid and structure interactions and opens to reduced order-modelling for vibro-acoustic coupling. The author describes simple yet fundamental illustrative examples in detail, using analytical and/or semi–analytical formulation & designed both to illustrate each numerical method and also to highlight a physical aspect of FSI. All proposed examples are simple enough to be computed by the reader using standard computational tools such as MATLAB, making the book a unique tool for self–learning and understanding the basics of the techniques for FSI, or can serve as verification and validation test cases of industrial FEM/BEM codes rendering the book valuable for code verification and validation purposes.


Fluid-Structure Interaction

Fluid-Structure Interaction
Author: Hans-Joachim Bungartz
Publisher: Springer Science & Business Media
Total Pages: 401
Release: 2007-06-24
Genre: Technology & Engineering
ISBN: 3540345965

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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
Author: Henri J.-P. Morand
Publisher: Wiley
Total Pages: 220
Release: 1995-08-29
Genre: Technology & Engineering
ISBN: 9780471944591

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The aim of this book is to describe the methods leading to mechanical and numerical modelling of the linear vibrations of elastic structures coupled with internal fluids (sloshing, hydroelasticity and structural acoustics). It is characteristic of the problems under consideration that they are multidisciplinary involving structural and fluid representation and related numerical aspects. The problems are solved by direct resolution of the coupled systems by finite element methods and modal reduction procedures using the eigenmodes of ?elementary subsystems?. The numerical methods described in this book have applications in various engineering disciplines such as the automotive and aerospace industries, civil engineering, nuclear engineering and bioengineering.


Fluid Structure Interaction VII

Fluid Structure Interaction VII
Author: C. A. Brebbia
Publisher: WIT Press
Total Pages: 293
Release: 2013
Genre: Science
ISBN: 1845647009

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Containing papers presented at the Seventh International Conference on the topic, this book covers new developments in fluid structure interaction problems. First organised in 2001, the conference includes contributions from international experts on a variety of topics, including: Structure response to severe shock and blast; Hydrodynamic forces; Aeroelasticity; Computational methods; Flow induced vibrations; Experimental studies and validation; Bioengineering applications; Offshore structures; Soil structure interaction.


Fluid Structure Interaction II

Fluid Structure Interaction II
Author: Hans-Joachim Bungartz
Publisher: Springer Science & Business Media
Total Pages: 430
Release: 2010-09-28
Genre: Computers
ISBN: 3642142060

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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 Mechanics of Fluid-Structure Interaction

Computational Mechanics of Fluid-Structure Interaction
Author: Rajeev Kumar Jaiman
Publisher: Springer Nature
Total Pages: 337
Release: 2021-11-29
Genre: Technology & Engineering
ISBN: 9811653550

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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. The techniques are demonstrated for large-scale practical problems in aerospace and marine/offshore engineering. This book also provides a comprehensive understanding of underlying unsteady physics and coupled mechanical aspects of the fluid-structure interaction from a computational point of view. Using the body-fitted and moving mesh formulations, the physical insights associated with structure-to-fluid mass ratios (i.e., added mass effects), Reynolds number, large structural deformation, free surface, and other interacting physical fields are covered. The book includes the basic tools necessary to build the concepts required for modeling such coupled fluid-structure interaction problems, thus exposing the reader to advanced topics of multiphysics and multiscale phenomena.


Fluid-Solid Interaction Dynamics

Fluid-Solid Interaction Dynamics
Author: Jing Tang Xing
Publisher: Academic Press
Total Pages: 680
Release: 2019-08-30
Genre: Science
ISBN: 0128193530

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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 experiments or numerical data in order to demonstrate the accuracy of the approaches and their value to engineering applications. The title gives readers the state-of-the-art in theory, variational principles, numerical modeling and applications for fluid-solid interaction dynamics. Readers will be able to independently formulate models to solve their engineering FSI problems using information from this book. Presents the state-of-the-art in fluid-solid interaction dynamics, providing theory, method and results Takes an integrated approach to formulate, model and simulate FSI problems in engineering Illustrates results with concrete examples Gives four numerical approaches and related theories that are suitable for almost all integrated FSI systems Provides the necessary information for bench scientists to independently formulate, model, and solve physical FSI problems in engineering