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A computational study of the three-dimensional fluid-structure interaction of aortic valve

JOURNAL OF fluidS AND structureS 2018年 80卷 332-349页

作者： Chen, Ye Luo, Haoxiang Vanderbilt Univ Dept Mech Engn 2301 Vanderbilt Pl Nashville TN 37235 USA

In this paper, we describe a three-dimensional simulation of the fluid-structure interaction (FSI) of the aortic valve using a direct-forcing immersed-boundary method. The geometry of the valve is taken from a bioprosthetic valve, and the computational framework is based on a previous partitioned approach that is versatile for handling a range of biological FSI problems involving large deformations. When applying the approach in the heart valve simulation, we implemented an efficient parallel algorithm based on domain decomposition to handle the costly flow simulation. As compared with previous simulations of the aortic valve, our simulation was able to capture both realistic deformation of the leaflets and vortex structures in the flow, thus providing a balanced modeling approach for the flow and the valve. The results show that the pressure distribution on the leaflet surface is highly nonuniform and the jet flow contains a sequence of vortices during the opening process. After the valve is fully opened, both the three leaflets and the jet still experience significant oscillations. The drag resistance of the valve is also characterized, and it is found that the resistance is approximately equivalent to the inertial force of accelerating the fluid column of three diameter length. These details could be potentially used to characterize FSI of the aortic valve. (C) 2018 Elsevier Ltd. All rights reserved.

关键词： Cardiovascular flow Aortic valve fluid-structure interaction Immersed-boundary method Vortex dynamics

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An investigation of the structure-borne sound transmission in a T-joint equipped with a dynamic vibration absorber based on fluid-structure interaction dynamics

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JOURNAL OF VIBRATION AND CONTROL 2018年第22期24卷 5449-5460页

作者： Zou, Ming-Song Huang, He Liu, Shu-Xiao China Ship Sci Res Ctr Wuxi Peoples R China State Key Lab Deep sea Manned Vehicles Wuxi Peoples R China Natl Key Lab Ship Vibrat & Noise Wuhan Hubei Peoples R China

A novel analytical method is presented in this paper for evaluating the propagation characteristics of structure-borne sound in a T-joint, the web plate of which is in contact with heavy fluid. Firstly, based on the dynamics of fluid-structure interaction, a mathematical model that considers the effect of fluid is established for the T-joint, which is equipped with a dynamic vibration absorber. The waves in the T-joint structure are described by the dynamical equation of thin plates, while the motion of fluid is described by the Helmholtz equation in the ideal acoustic medium. For the convenience of mathematics, the semi-infinite fluid domain is extended virtually into the infinite space. The Fourier transform method is utilized to obtain analytical solutions with high precision. Several examples are given to analyse the characteristics of the coupled transmission of bending and longitudinal waves in the T-joint. Comparisons are made with the results for the no-fluid case. The effects of the mass and frequency parameters of the dynamic vibration absorber on the inhibition of longitudinal wave transmission are also investigated. It is found that the existence of the heavy fluid has a significant influence on the propagation of bending waves in the T-joint. The dynamic absorber can inhibit the longitudinal waves in the web plate of the T-joint, while it has no effect on the bending waves.

关键词： fluid-structure interaction Fourier transform structure-borne sound T-joint wave transmission

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A phase-field model for fluid-structure interaction

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JOURNAL OF COMPUTATIONAL PHYSICS 2018年 372卷 823-840页

作者： Mokbel, Dominic Abels, Helmut Aland, Sebastian Tech Univ Dresden Inst Wissensch Rechnen D-01062 Dresden Germany Univ Regensburg Fak Math D-93040 Regensburg Germany Hsch Tech & Wirtschaft Dresden Fak Informat Math D-01069 Dresden Germany

In this paper, we develop a novel phase-field model for fluid-structure interaction (FSI), that is capable to handle very large deformations as well as topology changes like contact of the solid to a wall. The model is based on a fully Eulerian description of the velocity field in both, the fluid and the elastic domain. Viscous and elastic stresses in the Navier-Stokes equations are restricted to the corresponding domains by multiplication with their characteristic functions. The solid is described as a hyperelastic neo-Hookean material and the elastic stress is obtained by solving an additional Oldroyd-B - like equation. Thermodynamically consistent forces are derived by energy variation. The convergence of the derived equations to the traditional sharp interface formulation of fluid-structure interaction is shown by matched asymptotic analysis. The model is evaluated in a challenging benchmark scenario of an elastic body traversing a fluid channel. A comparison to reference values from Arbitrary Lagrangian Eulerian (ALE) simulations shows very good agreement. We highlight some distinct advantages of the new model, like the avoidance of re-triangulations and the stable inclusion of surface tension. Further, we demonstrate how simple it is to include contact dynamics into the model, by simulating a ball bouncing off a wall. We extend this scenario to include adhesion of the ball, which to our knowledge, cannot be simulated with any other FSI model. While we have restricted simulations to fluid-structure interaction, the model is capable to simulate any combination of viscous fluids, visco-elastic fluids and elastic solids. (C) 2018 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Phase-field Diffuse interface Viscoelasticity Contact problem Fully Eulerian

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A Nonconforming Finite Element Method for an Acoustic fluid-structure interaction Problem

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COMPUTATIONAL METHODS IN APPLIED MATHEMATICS 2018年第3期18卷 383-406页

作者： Brenner, Susanne C. Cesmelioglu, Aycil Cui, Jintao Sung, Li-Yeng Louisiana State Univ Dept Math Baton Rouge LA 70803 USA Louisiana State Univ Ctr Computat & Technol Baton Rouge LA 70803 USA Oakland Univ Dept Math & Stat Rochester MI 48309 USA Hong Kong Polytech Univ Dept Appl Math Hong Kong Hong Kong Peoples R China

We study a nonconforming finite element approximation of the vibration modes of an acoustic fluid-structure interaction. Displacement variables are used for both the fluid and the solid. The numerical scheme is based on an irrotational fluid displacement formulation and hence it is free of spurious eigen-modes. The method uses weakly continuous P-1 vector fields for the fluid and classical piecewise linear elements for the solid, and it has O(h(2)) convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

关键词： Nonconforming Finite Element Method fluid-structure interaction Acoustic fluid

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Comparison between an uncoupled one-way and two-way fluid structure interaction simulation on a super-tall slender structure

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ENGINEERING structureS 2021年 229卷 111636-111636页

作者： Wijesooriya, K. Mohotti, D. Amin, A. Chauhan, K. Univ Sydney Sch Civil Engn Fac Engn Darlington NSW 2006 Australia Univ New South Wales Sch Engn & Informat Technol Canberra ACT 2600 Australia

This paper presents a comprehensive analysis on a super-tall structure where a numerical approach is used to measure its structural response when subjected to turbulent wind. The aim of this study is to provide a feasible alternate approach, to the experimental multi-degree of freedom (MDOF) aeroelastic wind tunnel tests, which are commonly used in industry to estimate structural responses of super-tall structures. An innovative and time-efficient uncoupled one-way fluid-structure interaction (FSI) simulation technique was used to measure the structural response. This novel method was evaluated against a commercially available two-way FSI analysis technique and validated with an experimental MDOF aeroelastic model. It is shown that the uncoupled one-way FSI analysis is capable of estimating structural responses and provides similar numerical accuracy to that of the experimental response. This performance was achieved in a total of 74 clock hours which accounts for the CFD simulation and transient structural analysis calculated for eighteen different structural configurations. In comparison, the two-way FSI analysis, which uses a commercial code, took 4800 clock hours to calculate for six configurations. The uncoupled one-way FSI technique also provided good correlations with experimentally observed trends such as vortex-induced resonance. In comparison the two-way FSI simulation was not as accurate due to the practical limitations (such as mesh size) that needed to be introduced in order to obtain results within a feasible time frame. Finally through validation, it is demonstrated that the proposed uncoupled one-way FSI analysis technique can provide accurate results at a feasible cost.

关键词： fluid-structure interaction Super-tall buildings Structural response Modal analysis Vortex-induced vibrations Computational fluid Dynamics (CFD)

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A smoothed finite element approach for computational fluid dynamics: applications to incompressible flows and fluid-structure interaction

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COMPUTATIONAL MECHANICS 2018年第5期62卷 1037-1057页

作者： He, Tao Zhang, Hexin Zhang, Kai Shanghai Normal Univ Dept Civil Engn Shanghai 201418 Peoples R China Univ Birmingham Sch Engn Birmingham B15 2TT W Midlands England Edinburgh Napier Univ Sch Engn & Built Environm Edinburgh EH10 5DT Midlothian Scotland Yokohama Natl Univ Grad Sch Urban Innovat Dept Civil Engn Yokohama Kanagawa 2408501 Japan

In this paper the cell-based smoothed finite element method (CS-FEM) is introduced into two mainstream aspects of computational fluid dynamics: incompressible flows and fluid-structure interaction (FSI). The emphasis is placed on the fluid gradient smoothing which simply requires equal numbers of Gaussian points and smoothing cells in each four-node quadrilateral element. The second-order, smoothed characteristic-based split scheme in conjunction with a pressure stabilization is then presented to settle the incompressible Navier-Stokes equations. As for FSI, CS-FEM is applied to the geometrically nonlinear solid as usual. Following an efficient mesh deformation strategy, block-Gauss-Seidel procedure is adopted to couple all individual fields under the arbitrary Lagriangian-Eulerian description. The proposed solvers are carefully validated against the previously published data for several benchmarks, revealing visible improvements in computed results.

关键词： Smoothed finite element method CFD Incompressible flows fluid-structure interaction Characteristic-based split ALE

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AN ADJOINT-BASED METHOD FOR THE NUMERICAL APPROXIMATION OF SHAPE OPTIMIZATION PROBLEMS IN PRESENCE OF fluid-structure interaction

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ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE 2018年第4期52卷 1501-1532页

作者： Manzoni, Andrea Ponti, Luca Ecole Polytech Fed Lausanne CMCS MATHICSE SB Stn 8 CH-1015 Lausanne Switzerland Politecn Milan Dipartimento Matemat F Brioschi Via Bonardi 9 I-20133 Milan Italy

In this work, we propose both a theoretical framework and a numerical method to tackle shape optimization problems related with fluid dynamics applications in presence of fluid-structure interactions. We present a general framework relying on the solution to a suitable adjoint problem and the characterization of the shape gradient of the cost functional to be minimized. We show how to derive a system of (first-order) optimality conditions combining several tools from shape analysis and how to exploit them in order to set a numerical iterative procedure to approximate the optimal solution. We also show how to deal efficiently with shape deformations (resulting from both the fluid-structure interaction and the optimization process). As benchmark case, we consider an unsteady Stokes flow in an elastic channel with compliant walls, whose motion under the effect of the flow is described through a linear Koiter shell model. Potential applications are related e.g. to design of cardiovascular prostheses in physiological flows or design of components in aerodynamics.

关键词： PDE-constrained optimization shape optimization fluid-structure interaction adjoint problem

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Computational fluid-structure interaction analysis of blood flow on patient-specific reconstructed aortic anatomy and aneurysm treatment with Dacron graft

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JOURNAL OF fluidS AND structureS 2018年 81卷 693-711页

作者： Jayendiran, Raja Nour, Bakr Ruimi, Annie Texa A&M Univ Qatar Mech Engn Program Doha Qatar Weill Cornell Med Qatar Doha Qatar

We use the fluid-structure interaction (FSI) capability in Abaqus to evaluate radial displacements, von Mises stresses and wall shear stresses (WSS) on the human aorta in response to the blood flowing through it. Complications arise when aneurysm is detected and causes the wall to thinner so much that rupture may result. We use the Materialise suite, a specialty software to reconstruct a three-dimensional geometry of the aorta from two-dimensional computerized axial tomography (CAT) images. Results are compared to those obtained on a healthy individual. Blood is assumed to be a Newtonian and incompressible medium and the blood flow is taken as pulsatile, fully developed and turbulent. The model used for aorta is Holzapfel-Gasser-Ogden (HGO), a sophisticated hyperelas tic model that can describe biological tissues. We also study the behavior of Dacron, a polyester fabric used as graft in aortic surgical repair. Here, Dacron is represented by a neo-Hookean (isotropic) hyperelastic model. Time-dependent pressure conditions are assumed at the inlet and outlet of the resulting structure. Results indicate that using a patient-specific geometry for the aorta yields additional insight on the state of the stresses applied on the aortic walls. In addition, stress contours on the Dacron are comparable to those obtained on a healthy patient and stresses evaluated at the interface of the biological tissues and the fabric, provide useful information regarding the suture strength needed during surgery. In the case of aneurysm, our simulation results agree well with experimental data taken from the literature particularly with regard to WSS which can be used to assess the seriousness of the aneurysm condition. If an idealized cylindrical shell is used in place of the reconstructed anatomy, the von Mises stress values do not differ much but it underestimates the values of WSS which could interpreted as the presence of an aneurysm when there is not. Among the novel contributions, the

关键词： Patient-specific aortic anatomy fluid-structure interaction Hyperelastic Wall shear stress Dacron graft

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Adjoint shape optimization for fluid-structure interaction of ducted flows

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COMPUTATIONAL MECHANICS 2018年第3期61卷 259-276页

作者： Heners, J. P. Radtke, L. Hinze, M. Duester, A. Hamburg Univ Technol Numer Struct Anal Applicat Ship Technol M10 Schwarzenberg Campus 4 C D-21073 Hamburg Germany Univ Hamburg Dept Math Bundesstr 55 D-20146 Hamburg Germany

Based on the coupled problem of time-dependent fluid-structure interaction, equations for an appropriate adjoint problem are derived by the consequent use of the formal Lagrange calculus. Solutions of both primal and adjoint equations are computed in a partitioned fashion and enable the formulation of a surface sensitivity. This sensitivity is used in the context of a steepest descent algorithm for the computation of the required gradient of an appropriate cost functional. The efficiency of the developed optimization approach is demonstrated by minimization of the pressure drop in a simple two-dimensional channel flow and in a three-dimensional ducted flow surrounded by a thin-walled structure.

关键词： fluid-structure interaction Adjoint shape optimization Adjoint FSI optimization Optimal control of fluid-structure interaction

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Control design in cyber-physical fluid-structure interaction experiments

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JOURNAL OF fluidS AND structureS 2018年 82卷 86-100页

作者： Waghela, R. Bryant, M. Wu, F. North Carolina State Univ Dept Mech & Aerosp Engn Raleigh NC 27695 USA North Carolina State Univ Mech & Aerosp Engn Raleigh NC 27695 USA

Cyber-physical fluid dynamics is a hybrid experimental-computational approach to study fluid-structure interaction (FSI). It enables on-the-fly changes to structure inertia, damping, stiffness, and even kinematic constraints by replacing traditional elastically-mounted structures with actuators and a controller. The control design plays a central role in matching the closed-loop dynamics of the cyber-physical structure (CPS) to those of the desired structure. Control designs based on traditional proportional-integral-derivative (PID) and post-modern H-infinity, control are presented. The controllers are synthesized to match the linearized desired structural dynamics (or the input-output response) but no assumption of linearity is levied on the fluid behavior. To quantify the matching of input-output response, a CPS deviation index is defined based on H-infinity norms. To evaluate and compare the performance of the control designs, two well-known FSI instabilities are considered, galloping and aeroelastic flutter. These FSI instabilities represent convenient test cases because they can be analyzed with linear aerodynamic models. Comparing the critical instability flow velocity and oscillation frequency of the CPS with different control designs and the desired mechanical structure demonstrates that the internal structure of the controller is crucial to fully matching the response of the desired structure. H-infinity model-matching control with admittance causality is found to be the most adept control design for the CPS. (C) 2018 Elsevier Ltd. All rights reserved.

关键词： Cyber-physical fluid dynamics fluid-structure interaction Galloping Airfoil aeroelastic flutter Flow-induced instabilities Virtual spring Virtual damping H-infinity control Haptics Flow-induced motion

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