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Level set topology optimization of stationary fluid-structure interaction problems

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION 2015年第1期52卷 179-195页

作者： Jenkins, Nicholas Maute, Kurt Univ Colorado Dept Aerosp Engn Sci Boulder CO 80309 USA

This paper introduces a topology optimization approach that combines an explicit level set method (LSM) and the extended finite element method (XFEM) for designing the internal structural layout of fluid-structure interaction (FSI) problems. The FSI response is predicted by a monolithic solver that couples an incompressible Navier-Stokes flow model with a small-deformation solid model. The fluid mesh is modeled as an elastic continuum that deforms with the structure. The fluid model is discretized with stabilized finite elements and the structural model by a generalized formulation of the XFEM. The nodal parameters of the discretized level set field are defined as explicit functions of the optimization variables. The optimization problem is solved by a nonlinear programming method. The LSM-XFEM approach is studied for two- and three-dimensional FSI problems at steady-state and compared against a density topology optimization approach. The numerical examples illustrate that the LSM-XFEM approach convergences to well-defined geometries even on coarse meshes, regardless of the choice of objective and constraints. In contrast, the density method requires refined grids and a mass penalization to yield smooth and crisp designs. The numerical studies show that the LSM-XFEM approach can suffer from a discontinuous evolution of the design in the optimization process as thin structural members disconnect. This issue is caused by the interpolation of the level set field and the inability to represent particular geometric configurations in the XFEM model. While this deficiency is generic to the LSM-XFEM approach used here, it is pronounced by the nonlinear response of FSI problems.

关键词： Topology optimization Extended finite Element method Level set method fluid-structure interaction Hydroelasticity Monolithic solver

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Influence of wall thickness on fluid-structure interaction computations of cerebral aneurysms

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN BIOMEDICAL ENGINEERING 2010年第3-4期26卷 336-347页

作者： Torii, Ryo Oshima, Marie Kobayashi, Toshio Takagi, Kiyoshi Tezduyar, Tayfun E. Univ London Imperial Coll Sci Technol & Med Dept Chem Engn London SW7 2AZ England Univ Tokyo Inst Ind Sci Meguro Ku Tokyo 1538505 Japan Japan Automobile Res Inst Tsukuba Ibaraki 3050822 Japan Fujita Hlth Univ Dept Neurosurg Aichi 4701192 Japan Rice Univ Houston TX 77005 USA

fluid structure interaction (FSI) analyses of cerebral aneurysm using patient-specific geometry with uniform and pathological aneurysmal wall thickness models are carried out. The objective is to assess the influence of the wall thickness on the FSI and hemodynamics in aneurysms. Two aneurysm models that were reconstructured based on CT images are used. The arterial wall thickness is set to 0.3 mm for the non-aneurysmal artery and to 0.05 mm for the aneurysmal wall based on experimental findings. Another set of aneurysm models with a uniform wall thickness of 0.3 mm for the entire model is used for comparison. The FSI simulations are carried out using the deforming-spatial-domain/stabilized space time method with physiological inflow and pressure profiles. Computations with different aneurysmal wall thicknesses depict considerable differences in displacement, flow velocity and wall shear stress (WSS). The wall displacement for the pathological wall model is 61% larger than that of the uniform wall model. Consequently, the flow velocities in the aneurysm with the pathological wall model are lower, and that results in a 51% reduction in WSS on the aneurismal wall. Because low WSS on the aneurymal wall is linked to growth and rupture risk of aneurysm, the results suggest that using uniform wall thickness for the aneurysmal wall could underestimate risk in aneurysms. Copyright (C) 2009 John Wiley & Sons, Ltd.

关键词： fluid-structure interaction cerebral aneurysm patient-specific modeling wall thickness

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A simplified model for fluid-structure interaction: a cylinder tethered by springs in a lid-driven cavity flow

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JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 2021年第11期43卷 1-15页

作者： Borges, Jonatas Emmanuel de Souza Lourenco, Marcos Antonio Martinez Padilla, Elie Luis Micallef, Christopher Univ Fed Mato Grosso Food Engn Dept BR-78698000 Barra Do Garcas MT Brazil Univ Tecnol Fed Parana Mech Engn Dept BR-86300000 Cornelio Procopio PR Brazil Univ Fed Uberlandia Mech Engn Dept BR-38408144 Uberlandia MG Brazil Univ Malta Mech Engn Dept MSD-2080 Msida Malta

A simplified fluid-structure interaction model is presented, consisting of a cylinder tethered by a spring system interacting dynamically with the two-dimensional and incompressible lid-driven cavity flow. The fluid-structure interaction was solved in a partitioned way, having separate solvers for the fluid flow equations and the structural equations. The influence of the Reynolds number and spring constants on the cylinder motion and fluid flow was analyzed. Results show that as the Reynolds number increases, the secondary eddies grow in size and the primary eddy adapts to this change, shifting toward the center of the cavity. When the values of the spring constants are small (k = 0.01N/m), such that the spring forces are weaker than the fluid drag force, the springs stretch freely and the cylinder motion is the direct result of the fluid dynamics action. For higher values of spring constants (k > 0.01N/m), the cylinder motion reaches a maximum displacement, and the spring forces induce the cylinder to an oscillatory movement damped by the viscous fluid force;subsequently, the amplitude of the displacements decreases. As the Reynolds number increases, the cylinder motion is restricted within the mainstream fluid flow (considered the more energized region), having smaller displacements.

关键词： Finite volume method Incompressible fluid flow fluid-structure interaction Lid-driven cavity flow Immersed boundary method

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Study on the dynamic characteristics of the free piston in the ionic liquid compressor for hydrogen refuelling stations by the fluid-structure interaction modelling

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INTERNATIONAL JOURNAL OF HYDROGEN ENERGY 2023年第65期48卷 25410-25422页

作者： Jin, Yi Guo, Yi Zhang, Shengtao Jiang, Jiacheng Peng, Xueyuan Xi An Jiao Tong Univ Sch Energy & Power Engn Xian 710049 Peoples R China Shandong Himile Mfg Co LTD 1 Haomai Rd Weifang 261500 Peoples R China Xi An Jiao Tong Univ State Key Lab Multiphase Flow Power Engn Xian 710049 Peoples R China

The ionic liquid compressor is promising for hydrogen refuelling stations, where the dynamic characteristics of the free piston are crucial for adjusting the compressor performance. This paper presents an investigation of the dynamic characteristics of the free piston in the ionic liquid compressor through a fluid-structure interaction modelling in three typical conditions. The results show that in the typical condition with no impact, phenomenons of buffering, oil charging, and oil overflow are observed in the oil pressure variation. Three features are found in the motion curve: asymmetric motion with a delay of reversal due to the buffering effect, variable location of the dead centre, and fluctuation in the piston velocity. When the impact occurs at the TDC, an opposite variation trend is observed in the gas and oil pressure curve. In the typical condition with impact at the BDC, the oil pressure drops below the atmospheric pressure.& COPY;2023 Hydrogen Energy Publications LLC. Published by Elsevier Ltd. All rights reserved.

关键词： Hydrogen energy Ionic liquid compressor Free piston fluid-structure interaction Dynamic characteristics

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A computational fluid-structure interaction analysis of a fiber-reinforced stentless aortic valve

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JOURNAL OF BIOMECHANICS 2003年第5期36卷 699-712页

作者： De Hart, J Baaijens, FPT Peters, GWM Schreurs, PJG Eindhoven Univ Technol Dept Mech Engn NL-5600 MB Eindhoven Netherlands

The importance of the aortic root compliance in the aortic valve performance has most frequently been ignored in computational valve modeling, although it has a significant contribution to the functionality of the valve. Aortic root aneurysm or (calcific) stiffening severely affects the aortic valve behavior and, consequently, the cardiovascular regulation. The compromised mechanical and hemodynamical performance of the valve are difficult to study both 'in vivo' and 'in vitro'. Computational analysis of the valve enables a study on system responses that are difficult to obtain otherwise. In this paper a numerical model of a fiber-reinforced stentless aortic valve is presented. In the computational evaluation of its clinical functioning the interaction of the valve with the blood is essential. Hence, the blood-tissue interaction is incorporated in the model using a combined fictitious domain/arbitrary Lagrange-Euler formulation, which is integrated within the Galerkin finite element method. The model can serve as a diagnostic tool for clinical purposes and as a design tool for improving existing valve prostheses or developing new concepts. Structural mechanical and fluid dynamical aspects are analyzed during the systolic course of the cardiac cycle. Results show that aortic root compliance largely influences the valve opening and closing configurations. Stresses in the delicate parts of the leaflets are substantially reduced if fiber-reinforcement is applied and the aortic root is able to expand. (C) 2003 Elsevier Science Ltd. All rights reserved.

关键词： aortic valve fluid-structure interaction fiber-reinforcement finite element method fictitious domain method arbitrary Lagrange-Euler method

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One-fluid formulation for fluid-structure interaction with free surface

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2018年第Apr.15期332卷 102-135页

作者： Yang, Liang Imperial Coll London Dept Earth Sci & Engn South Kensington Campus London SW7 2AZ England

A simple and efficient computational framework is presented for the simulation of fluid-structure interaction problems involving rigid body and multiphase flows in the context of hydrodynamics. Unlike existing publications, this method does not solve the general motion of rigid bodies in the Lagrangian form of Newton's law. Derived from the distributed Lagrange multiplier treatment of the rigid body, a new set of governing equations is presented on the fully Eulerian one-fluid formulation. To solve the problem numerically, the complex problem is separated into three parts: balance of the momentum and mass (dynamic problem), evolving of the Heaviside function by the external velocity (geometric problem) and rigid motion projection (kinematic problem). The conservation of mass and momentum is guaranteed by the multiphase fluid solver. The water, air and structure coupling is accomplished by the smeared interface. A new way of initialisation and convection of the rigid Heaviside function is designed for an arbitrary shape. To deal with rigid velocity vector, a linear least square method is proposed. The excellent agreement between the numerical experiment and the reference data from experiments demonstrate the validity and applicability of the new methodology (C) 2017 Elsevier B.V. All rights reserved.

关键词： One-fluid formulation fluid-structure interaction Heaviside initialisation and interpolation Linear least square projection Water impact

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Full Eulerian finite element method of a phase field model for fluid-structure interaction problem

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COMPUTERS & fluidS 2014年 90卷 1-8页

作者： Sun, Pengtao Xu, Jinchao Zhang, Lixiang Univ Nevada Dept Math Sci Las Vegas NV 89154 USA Penn State Univ Dept Math University Pk PA 16802 USA Kunming Univ Sci & Technol Dept Mech Engn Kunming Yunnan Peoples R China

In this paper we present a full Eulerian model for a dynamic fluid-structure interaction (FSI) problem in terms of phase field approach, and design its full Eulerian finite element discretization and effective iterative method. The present full Eulerian FSI model effectively demonstrates the interaction between fluid flow and solid structure in terms of a uniform system of governing equations defined in a single domain, thus the computational grid is fixed, and the re-meshing and interpolation techniques which are always required by other FSI modeling approaches are no longer needed here. We develop a new stable scheme to discretize the Euler equation of an incompressible hyperelastic structure in Eulerian description, and employ Galerkin/least-square (GLS) stabilization scheme, streamline-upwind/Petrov-Galerkin (SUPG) method, and the second-order backward difference formula (BDF) to solve the derived transient nonlinear system of Navier-Stokes equations and transport equations. Numerical experiment is carried out for a cross spinning around its rotation of axis due to the passing flow field, and the numerical results dramatically show the spinning motion of the cross due to the interaction with the fluid, showing that our model and numerical methods are effective to simulate the dynamic fluid-structure interaction phenomena. (C) 2013 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Full Eulerian model Phase field model Mixed finite element method Deformation gradient tensor Streamline diffusion scheme

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Comparison of uniform and spatially varying ground motion effects on the stochastic response of fluid-structure interaction systems

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STRUCTURAL ENGINEERING AND MECHANICS 2009年第4期33卷 407-428页

作者： Bilici, Yasemin Bayraktar, Alemdar Adanur, Sueleyman Karadeniz Tech Univ Dept Civil Engn TR-61080 Trabzon Turkey

The effects of the uniform and spatially varying ground motions on the stochastic response of fluid-structure interaction system during an earthquake are investigated by using the displacement based fluid finite elements in this paper. For this purpose, variable-number-nodes two-dimensional fluid finite elements based on the Lagrangian approach is programmed in FORTRAN language and incorporated into a general-purpose computer program SVEM, which is used for stochastic dynamic analysis of solid systems under spatially varying earthquake ground motion. The spatially varying earthquake ground motion model includes wave-passage, incoherence and site-response effects. The effect of the wave-passage is considered by using various wave velocities. The incoherence effect is examined by considering the Harichandran-Vanmarcke and Luco-Wong coherency models. Homogeneous medium and firm soil types are selected for considering the site-response effect where the foundation supports are constructed. A concrete gravity dam is selected for numerical example. The S16E component recorded at Pacoima dam during the San Fernando Earthquake in 1971 is used as a ground motion. Three different analysis cases are considered for spatially varying ground motion. Displacements, stresses and hydrodynamic pressures occurring on the upstream face of the dam are calculated for each case and compare with those of uniform ground motion. It is concluded that spatially varying earthquake ground motions have important effects on the stochastic response of fluid-structure interaction systems.

关键词： spatially varying earthquake motion stochastic analysis Lagrangian approach fluid finite element fluid-structure interaction

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A combined radial basis function based interpolation method for fluid-structure interaction problems and its application on high-speed trains

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ADVANCES IN ENGINEERING SOFTWARE 2019年 131卷 143-152页

作者： Dou Weiyuan Zhang Lele Chen Geng Zhu Wenjie Beijing Jiaotong Univ Sch Mech Elect & Control Engn Beijing 100044 Peoples R China IAV GmbH Rockwellstr 5 D-38518 Gifhorn Germany

In fluid-structure interaction (FSI) problems, accuracy of the data transfer between fluid-structure interfaces is mainly attributed to the element type and discretization density of grids in both fluid and structure domains. To remedy the inaccuracy caused by the prevalently applied solo elemental node interpolation strategy, a novel interpolation method is proposed in the present study. The approach is based on the radial basis function and introduces a weight coefficient through which the centroid and nodes of an element are joined. This way, the interpolation will be conducted in accordance to a weighted summation of both terms. Before it is applied to practice relevant engineering examples, the validity of the formulated approach is first examined by simple 2D and further 3D case studies. Studies have clearly illustrated that, compared to pure element centroid or nodes based interpolation schemes, the established approach is insensitive to the pressure distribution. Meanwhile, in these cases the influence of selected basis functions and mesh densities have been examined in detail. Based on the knowledge gained from these case studies, it further investigated a problem emerged from high-speed trains in which the CFD simulation is validated by the field experiment and the task is to transfer data from the fluid domain to the structure domain. Result of the study shows that for the high speed train model considered which has complicated non-matching grids, the accuracy of data transfer in fluid-structure interaction is highly improved and the maximum of global relative error achieves 2.62%.

关键词： Data transfer fluid-structure interaction Combined elemental center and node interpolation High-speed train CFD

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Analysis of wind-induced vibration of fluid-structure interaction system for isolated aqueduct bridge

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ENGINEERING structureS 2013年第Jan.期46卷 28-37页

作者： Zhang, Hua Liu, Liang Dong, Ming Sun, Hao Hohai Univ Coll Civil & Transportat Engn Nanjing 210098 Jiangsu Peoples R China Columbia Univ Dept Civil Engn & Engn Mech New York NY 10027 USA

This paper studies the dynamic properties of aqueduct-water coupling system in bent-type aqueduct structures using the Arbitrary Lagrangian-Eulerian (ALE) method. A three-dimensional fluid-structure interaction model was established, with plate rubber supports. The speed-time sequence of fluctuating wind acting on the aqueduct was simulated by the Auto-regressive Moving Average (ARMA) model. The natural vibration characteristics, seismic responses, and wind responses of the aqueduct structure were calculated and comparatively analyzed in different conditions of water depth. The simulation results show that the application of isolation technology can reduce aqueduct stiffness and change the vibration characteristics of an aqueduct structure. The application of isolated technique is able to elevate the earthquake resistance performance of aqueduct structure. However, the isolation remarkably increases the wind stress response and reduces wind resistance performance of the aqueduct bridge. (C) 2012 Elsevier Ltd. All rights reserved.

关键词： Isolated aqueduct bridge ARMA model fluid-structure interaction Wind response Seismic response

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