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Numerical procedure with analytic derivative for unsteady fluid-structure interaction

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 2008年第11期24卷 1257-1275页

作者： Mbaye, I. Murea, C. M. Univ Haute Alsace Lab Math Informat & Applicat F-68093 Mulhouse France

The unsteady interaction between an incompressible fluid and a deformable elastic structure is analyzed. An implicit numerical method is proposed. At each time step, the stresses at the fluid-structure interface are determined as a solution of an optimization problem. The modal decomposition of the structure equations leads to a problem to be solved with a reduced number of unknowns. The analytic gradient of the cost function was derived. Numerical tests validate the analytic derivative and show the behavior of a two-dimensional Navier-Stokes equations with plate-like model interaction. Copyright (C) 2007 John Wiley & Sons, Ltd.

关键词： fluid-structure interaction arbitrary Lagrangian Eulerian framework analytic derivative finite element method

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Treatment of acoustic fluid-structure interaction by localized Lagrange multipliers: Formulation

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2008年第33-40期197卷 3057-3079页

作者： Ross, Michael R. Felippa, Carlos A. Park, K. C. Sprague, Michael A. Sandia Natl Labs Analyt Struct Dynam Dept Albuquerque NM 87185 USA Univ Colorado Dept Aerosp Engn Sci Boulder CO 80309 USA Univ Colorado Ctr Aerosp Struct Boulder CO 80309 USA Univ Calif Sch Nat Sci Merced CA 95344 USA

A new concept is presented for modeling the dynamic interaction between an acoustic fluid and an elastic structure. The coupling of this multiphysics system is done by inserting a kinematic interface frame between the fluid and the structure, and using node-collocated Lagrange multipliers to connect the frame to each subsystem. The time-domain response analysis is performed by a partitioned analysis procedure. The main advantages of this localized Lagrange multiplier (LLM) primal-dual coupling method are: complete localization of the structure and fluid subsystems, elimination of the conventional predictor in the partitioned time integration method, and the ability to accommodate non-matching meshes. The standard Newmark time integrator is used on both the fluid and structure models. It is shown that if the integrator is A-stable and second-order accurate for a monolithic treatment, it retains those properties for both Mortar and LLM partitioned solution procedures. Infinite and finite piston problems are used to explain and verify the methodology. A sequel paper under preparation presents and discusses a set of benchmark and application examples that involve the response of existing dams to seismic excitation. (C) 2008 Elsevier B.V. All rights reserved.

关键词： coupled systems fluid-structure interaction earthquake dynamics partitioned analysis non-matching meshes Lagrange multipliers

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A stable time advancing scheme for solving fluid-structure interaction problem at small structural displacements

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2008年第2期198卷 210-222页

作者： Sy, Soyibou Murea, Cornel Marius Univ Haute Alsace Lab Math Informat & Applicat F-68093 Mulhouse France

A semi-implicit time advancing scheme for transient fluid-structure interaction problem is presented. At every time step, a least squares problem is solved by partitioned procedures, such that the continuity of the velocity as well as the continuity of the stress hold at the interface. During the iterative method for solving the optimization problem, the fluid mesh does not move, which reduces the computational effort. The stability of the algorithm is derived. The numerical results presented in this paper show that the computed solution is similar to the one obtained by the implicit algorithm, but the computational time is reduced. (C) 2008 Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Semi-implicit time advancing scheme Finite element

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Dynamic behaviour of a flexible yacht sail plan

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OCEAN ENGINEERING 2013年 66卷 32-43页

作者： Augier, Benoit Bot, Patrick Hauville, Frederic Durand, Mathieu Naval Acad Res Inst IRENAV CC600 F-29240 Brest 9 France K Epsilon Co F-06905 Sophia Antipolis France

A numerical investigation of the dynamic fluid-structure interaction (FSI) of a yacht sail plan submitted to harmonic pitching is presented to address both issues of aerodynamic unsteadiness and structural deformation. The FSI model - Vortex Lattice Method fluid model and Finite Element structure model - have been validated with full-scale measurements. It is shown that the dynamic behaviour of a sail plan subject to yacht motion clearly deviates from the quasi-steady theory. The aerodynamic forces presented as a function of the instantaneous apparent wind angle show hysteresis loops, suggesting that some energy is exchanged by the system. The area included in the hysteresis loop increases with the motion reduced frequency and amplitude. Comparison of rigid versus soft structures shows that FSI increases the energy exchanged by the system and that the oscillations of aerodynamic forces are underestimated when the structure deformation is not considered. Dynamic loads in the fore and aft rigging wires are dominated by structural and inertial effects. This FSI model and the obtained results may be useful firstly for yacht design, and also in the field of auxiliary wind assisted ship propulsion, or to investigate other marine soft structures. (c) 2013 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Dynamic behaviour Yacht sails Soft membrane Unsteady Numerical/experimental comparison

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Numerical and experimental study of expiratory flow in the case of major upper airway obstructions with fluid-structure interaction

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JOURNAL OF fluidS AND structureS 2008年第2期24卷 250-269页

作者： Chouly, F. Van Hirtum, A. Lagree, P. -Y. Pelorson, X. Payan, Y. Univ Grenoble 1 Lab TIMC UMR CNRS 5525 F-38706 La Tronche France INPG UMR CNRS 5216 Dept Parole & Cognit GIPSA Lab F-38031 Grenoble France Inst Jean Rond Alembert UMR CNRS 7190 F-75252 Paris France

This study deals with the numerical prediction and experimental description of the flow-induced deformation in a rapidly convergent-divergent geometry which stands for a simplified tongue, in interaction with an expiratory airflow. An original in vitro experimental model is proposed, which allows measurement of the deformation of the artificial tongue, in condition of major initial airway obstruction. The experimental model accounts for asymmetries in geometry and tissue properties which are two major physiological upper airway characteristics. The numerical method for prediction of the fluid-structure interaction is described. The theory of linear elasticity in small deformations has been chosen to compute the mechanical behaviour of the tongue. The main features of the flow are taken into account using a boundary layer theory. The overall numerical method entails finite element solving of the solid problem and finite differences solving of the fluid problem. First, the numerical method predicts the deformation of the tongue with an overall error of the order of 20%, which can be seen as a preliminary successful validation of the theory and simulations. Moreover, expiratory flow limitation is predicted in this configuration. As a result, both the physical and numerical models could be useful to understand this phenomenon reported in heavy snorers and apneic patients during sleep. (c) 2007 Elsevier Ltd. All rights reserved.

关键词： upper airway fluid-structure interaction finite element modelling boundary layer theory numerical simulation in vitro experiment expiratory flow limitation snoring obstructive sleep apnea

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A simple mesh deformation technique for fluid-structure interaction based on a submesh approach

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2008年第9期75卷 1085-1101页

作者： Lefrancois, E. Univ Technol Compiegne Lab Roberval CNRS UMR 6253 F-60205 Compiegne France

This paper describes,in improvement ill techniques Currently used for mesh deformations in fluid-structure calculations in which large body motions, are encountered. The proposed approach moving submesh approach (MSA) is based oil the assumption of a pseudo-material deformation applied on a triangular coarse mesh to significantly reduce file CPU little. The computation Mesh is then updated using all interpolation technique similar to the finite element method. This method may be applied oil structured IS Well as On unstructured meshes. An extension to complex boundaries undergoing large rigid-body motions is proposed combining the MSA and all encapsulation box. The influence of the coarse mesh oil the quality mesh is discussed. Copyright (C) 2008 John Wiley & Sons, Ltd.

关键词： mesh deformation fluid-structure interaction coarse mesh elasticity finite element interpolation encapsulation box

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Free vibration and dynamic response of a fluid-coupled double elliptical plate system using Mathieu functions

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INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES 2013年 75卷 66-79页

作者： Hasheminejad, Seyyed M. Khaani, Hojat A. Shakeni, Rezgar Iran Univ Sci & Technol Sch Mech Engn Acoust Res Lab Ctr Excellence Expt Solid Mech & Dynam Tehran *** Iran

A three-dimensional analytic model involving products of angular and radial Mathieu functions is developed for the exact free vibration analysis and transient acousto-structural response of two parallel elliptical plates, coupled with an internal bounded inviscid and compressible fluid medium, and under general external transverse loads of arbitrary temporal and spatial variations. Extensive numerical data are presented in an orderly fashion for the first ten symmetric/anti-symmetric system natural frequencies as a function of fluid layer thickness parameter for selected plate aspect ratios. Also, the occurrences of frequency veering phenomena between various modes of the same symmetry group and the interchange of associated mode shapes in the veering region are noted and discussed. Moreover, selected fluid-coupled structural deformation mode shapes are presented in vivid graphical form and the issue of mode localization is examined. The Laplace transform with respect to the time variable is subsequently invoked and a linear system of coupled algebraic equations is ultimately obtained, which is truncated and then solved by implementing Durbin's Laplace inversion algorithm accompanied with special solution convergence enhancement techniques for eradication of spurious oscillations (Gibbs' phenomenon). Numerical simulations are conducted for the displacement time histories of water-coupled double aluminum plates of selected aspect ratios and fluid depths, subjected to external loads of practical interest (i.e., an impulsive point load, a concentrated pulse load, and a uniformly distributed blast load). Validity of the results is established through computations made by using a commercial finite element package as well as by comparison with the data available in literature. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Elliptical enclosure Panel-cavity coupling Mode localization Frequency veering Hydroelastic response

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Application of the meshless finite volume particle method to flow-induced motion of a rigid body

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COMPUTERS & fluidS 2013年 88卷 386-399页

作者： Nestor, R. M. Quinlan, N. J. Natl Univ Ireland Galway Coll Engn & Informat Galway Ireland

We present a new approach to numerical modelling of incompressible flow of fluid about an elastically mounted rigid structure with large body motions. The solution is based on the Finite Volume Particle Method (FVPM), a meshless generalisation of the mesh-based finite volume method. The finite volume particles are allowed to overlap, without explicit connectivity, and can therefore move arbitrarily to follow the motion of a wall. Here, FVPM is employed with a pressure projection method for fully incompressible flow coupled with motion of a rigid body. The developed extension is validated for Vortex-Induced Vibration (VIV) of a circular cylinder in laminar crossflow. To minimise computational effort, non-uniform particle size and arbitrary Lagrangian-Eulerian particle motion schemes are employed, with radial basis functions used to define the particle motion near the cylinder. Close agreement is demonstrated between the FVPM results and a reference numerical solution. Results confirm the feasibility of FVPM as a new approach to the modelling of flow with strongly coupled rigid-body dynamics. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： Particle Mesh less Finite volume particle method Vortex-induced vibration fluid-structure interaction

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Two-Phase Flow-Induced Forces on Piping in Vertical Upward Flow: Excitation Mechanisms and Correlation Models

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JOURNAL OF PRESSURE VESSEL TECHNOLOGY-TRANSACTIONS OF THE ASME 2013年第3期135卷 030907页

作者： Giraudeau, M. Mureithi, N. W. Pettigrew, M. J. Ecole Polytech Dept Mech Engn BWC AECL NSERC Chair Fluid Struct Interact Montreal PQ H3C 3A7 Canada

Momentum variation in two-phase flow generates significant low frequency forces, capable of producing unwanted and destructive vibrations in nuclear or petroleum industries. Two-phase flow-induced forces in piping were previously studied over a range of diameters from 6 mm to 70 mm in different piping element geometries, such as elbows, U-bends, and tees. Dimensionless models were then developed to estimate the rms forces and generate vibration excitation force spectra. It was found that slug flow generates the largest forces due to the large momentum variation between Taylor bubbles and slugs. The present study was conducted with a 52 mm diameter U-bend tube carrying a vertical upward flow. Two-phase flow-induced forces were measured. In addition, two-phase flow parameters, such as the local void fraction, bubble size and velocity, and slug frequency were studied to understand the relationship between the force spectra and the two-phase flow patterns. A new two-phase flow pattern map, based on existing transition models and validated using our own local void fraction measurements and force spectra, is proposed. This paper also presents a comparison of the present dimensionless forces with those of previous studies, thus covers a wide range of geometries and Weber numbers. Finally, a dimensionless spectrum is proposed to correlate forces with large momentum variations observed for certain flow patterns.

关键词： two-phase flow vertical flow pattern quasi-periodic force slug flow void signal fluid-structure interaction

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Stability Analysis and Transient Response of Electrostatically Actuated Microbeam Interacting With Bounded Compressible fluids

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JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME 2013年第1期80卷 011024页

作者： Sharafkhani, N. Shabani, R. Tariverdilo, S. Rezazadeh, G. Urmia Univ Dept Mech Engn Orumiyeh Iran Urmia Univ Dept Civil Engn Orumiyeh Iran

This paper studies the stability and transient response of electrostatically excited microbeam interacting with bounded compressible fluid. At first, employing Fourier-Bessel series, the related eigenvalue problem of the coupled system is solved. Investigating the change in the free vibration properties of the system, a parametric study is done, accounting for changing physical properties and geometric dimensions of the bounded fluid. Then, considering the step response of the coupled system, pull-in time and voltage and also attraction zones of the microbeam are derived. It is shown that, beside the electrical property of the contained fluid, its inertial property could also change the transient response significantly. fluid added mass by increasing the period of the free vibration response in stable condition also changes the pull-in time. In addition, it is found that the attraction zones of stable fixed points vary for different contained fluids that could change the sensitivity of the microbeam to uncertainty in the initial condition. [DOI: 10.1115/1.4007141]

关键词： microbeam fluid-structure interaction step response pull-in time

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