scholarly journals Immersed Methods for Fluid–Structure Interaction

2020 ◽  
Vol 52 (1) ◽  
pp. 421-448 ◽  
Author(s):  
Boyce E. Griffith ◽  
Neelesh A. Patankar
Keyword(s):  
Fluid Structure Interaction ◽  
Reynolds Numbers ◽  
Benchmark Problems ◽  
Lagrangian Description ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Eulerian Description ◽  
Biomedical Modeling ◽  
Immersed Methods ◽  
Model Structures

Fluid–structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid–structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration that can otherwise be required for models involving large deformations and displacements. This article reviews immersed methods for both elastic structures and structures with prescribed kinematics. It considers formulations using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid–structure interfaces. Benchmark problems demonstrate the effectiveness of these methods, and selected applications at Reynolds numbers up to approximately 20,000 highlight their impact in biological and biomedical modeling and simulation.

scholarly journals Fluid–structure interaction-induced oscillation of flexible structures in laminar and turbulent flows

2013 ◽  
Vol 715 ◽  
pp. 537-572 ◽  
Author(s):  
Jorge Pereira Gomes ◽  
H. Lienhart
Keyword(s):  
Turbulent Flows ◽  
Fluid Structure Interaction ◽  
Flexible Structures ◽  
Reynolds Numbers ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Flow Disturbances ◽  
Oscillation Modes ◽  
Excited Oscillation ◽  
Excitation Mechanisms

AbstractSelf-excitation of the motion of a structure has become a prominent aspect of engineering projects over recent years as designers are using materials at their limits, causing structures to become progressively lighter, more flexible and, therefore, prone to vibrate. Stimulated by the increasing interest in fluid–structure interaction (FSI) problems, this study investigated the instability and consequent FSI-induced self-excited oscillation of flexible structures in uniform flows at Reynolds numbers between $10$ and $1. 69\times 1{0}^{5} $. The investigations were performed in both water and a highly viscous syrup ($\nu = 1. 64\times 1{0}^{- 4} ~{\mathrm{m} }^{2} ~{\mathrm{s} }^{- 1} $) and considered three structures of different geometries. The results were conclusive in showing that the motion of the structure was characterized by a sequence of oscillation modes as a function of the characteristics of the structure and flow properties. In addition, it was possible to identify the self-excitation mechanisms as being of the instability-induced excitation (IIE) or movement-induced excitation (MIE) types. IIE was observed to be the most dominant mechanism of excitation at lower velocities and it was defined by a direct relation between the flow fluctuation and natural frequencies of the structure. For that reason, IIE was strongly determined by the geometry of the front body of the structure. At higher velocities, the amplitudes of the flow disturbances generated by the structure movement increased and excitations of the MIE type became predominant for all structures. The MIE mechanism was found to be weakly influenced by the shape of the structure but very sensitive to its dynamic characteristics and to the properties of the fluid, especially the Reynolds number.

THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW

2004 ◽  
Vol 01 (02) ◽  
pp. 267-307 ◽  
Author(s):  
E. OÑATE ◽  
S. R. IDELSOHN ◽  
F. DEL PIN ◽  
R. AUBRY
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fluid Structure Interaction ◽  
Integral Form ◽  
Lagrangian Description ◽  
Particle Finite Element Method ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Water Drops ◽  
Element Method

We present a general formulation for the analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use of a Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are thus viewed as particles which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility condition in the fluid is introduced via the finite calculus (FIC) method. A fractional step scheme for the transient coupled fluid-structure solution is described. Examples of application of the PFEM method to solve a number of fluid-structure interaction problems involving large motions of the free surface and splashing of waves are presented.

scholarly journals Partitioned Solution Strategies for Strongly-Coupled Fluid-Structure Interaction Problems in Maritime Applications

2018 ◽  
Author(s):  
Marcel König
Keyword(s):  
Fluid Structure Interaction ◽  
Benchmark Problems ◽  
Maritime Industry ◽  
Fluid Structure ◽  
Strongly Coupled ◽  
Solution Approach ◽  
Structure Interaction ◽  
Solution Strategies ◽  
Software Reusability ◽  
And Performance

Eine sehr interessante und umfangreiche Arbeit aus der „Arbeitsgruppe Numerische Strukturanalyse mit Anwendungen in der Schiffstechnik“ aus dem Institut „M-10“ der Technischen Universität Hamburg – das lohnt sich!. Many engineering applications are governed by coupled multifield phenomena. In this thesis, a partitioned solution approach is followed to solve these kind of problems, which does not only enable the use of different discretization schemes for each of the subproblems but also allows to reuse specialized and efficient solvers, which enhances modularity, software reusability, and performance. A framework for the partitioned analysis of general multifield problems is proposed and implemented in the generic software library comana, which is verified against various benchmark problems and successfully applied to sophisticated fluid-structure interaction problems from the maritime industry. ...

scholarly journals A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow

2021 ◽  
Vol 347 ◽  
pp. 00033
Author(s):  
Ridhwaan Suliman ◽  
Oliver Oxtoby
Keyword(s):  
Numerical Solutions ◽  
Fluid Structure Interaction ◽  
Benchmark Problems ◽  
Fluid Loading ◽  
Dynamic Interactions ◽  
Fluid Structure ◽  
Structure Interaction ◽  
Elastic Bodies ◽  
Non Linear ◽  
New Formulation

The deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled fluid-structure interaction problems, and analyse the dynamic behaviour of multiple interacting bodies under fluid loading. In most fluid-structure interaction problems the deformation of slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal analysis technique for linear structural analysis, the governing equations and boundary conditions are updated to account for non-linear terms and a new modal formulation with quadratic modes is derived. The quadratic modal approach is tested on standard benchmark problems of increasing complexity and compared with analytical and full non-linear numerical solutions. An analysis of the dynamic interactions between multiple finite plates in various configurations under fluid loading, as well as the effects of the spacing between the structures, is also conducted. Numerical results are compared with theoretical and experimental approaches. The inverted hydrodynamic drafting effect of elastic bodies in an in-line configuration can be confirmed from our numerical simulations.

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