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An exact solution of a fluid-structure interaction problem

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 2021年第12期101卷

作者： Marusic-Paloka, Eduard Univ Zagreb Dept Math Zagreb Croatia

We construct an exact solution for a stationary fluid flow through a channel with upper wall attached to an elastic spring. The position of the upper wall is determined from the interaction between the fluid and the wall. It is displacement computed from a quartic equation that can be solved by radicals and the solution is proved to be physically reasonable.

关键词： exact solution fluid-structure interaction hook law Navier-Stokes system

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A partitioned numerical scheme for fluid-structure interaction with slip

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MATHEMATICAL MODELLING OF NATURAL PHENOMENA 2021年第1期16卷 8-8页

作者： Bukac, Martina Canic, Suncica Univ Notre Dame Appl & Computat Math & Stat Notre Dame IN 46556 USA Univ Calif Berkeley Dept Math Berkeley CA 94720 USA

We present a loosely coupled, partitioned scheme for solving fluid-structure interaction (FSI) problems with the Navier slip boundary condition. The fluid flow is modeled by the Navier-Stokes equations for an incompressible, viscous fluid, interacting with a thin elastic structure modeled by the membrane or Koiter shell type equations. The fluid and structure are coupled via two sets of coupling conditions: a dynamic coupling condition describing balance of forces, and a kinematic coupling condition describing fluid slipping tangentially to the moving fluid-structure interface, with no penetration in the normal direction. Problems of this type arise in, e.g., FSI with hydrophobic structures or surfaces treated with a no-stick coating, and in biologic FSI involving rough surfaces of elastic tissues or tissue scaffolds. We propose a novel, efficient partitioned scheme where the fluid sub-problem is solved separately from the structure sub-problem, and there is no need for sub-iterations at every time step to achieve stability, convergence, and its first-order accuracy. We derive energy estimates, which prove that the proposed scheme is unconditionally stable for the corresponding linear problem. Moreover, we present convergence analysis and show that under a time-step condition, the method is first-order accurate in time and optimally convergent in space for a Finite Element Method-based spatial discretization. The theoretical rates of convergence in time are confirmed numerically on an example with an explicit solution using the method of manufactured solutions, and on a benchmark problem describing propagation of a pressure pulse in a two-dimensional channel. The effects of the slip rate and fluid viscosity on the FSI solution are numerically investigated in two additional examples: a 2D cylindrical FSI example for which an exact Navier slip Poiseuille-type solution is found and used for comparison, and a squeezed ketchup bottle example with gravity enhanced flow. W

关键词： fluid-structure interaction Navier slip condition partitioned method

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Boundary pressure projection for partitioned solution of fluid-structure interaction with incompressible Dirichlet fluid domains

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JOURNAL OF COMPUTATIONAL PHYSICS 2021年 425卷 109894-109894页

作者： Akbay, Muzaffer Schroeder, Craig Shinar, Tamar Univ Calif Riverside Comp Sci & Engn 351 Winston Chung Hall Riverside CA 92521 USA

Partitioned solutions to fluid-structure interaction problems often employ a Dirichlet-Neumann decomposition, where the fluid equations are solved subject to Dirichlet boundary conditions on velocity from the structure, and the structure equations are solved subject to forces from the fluid. In some scenarios, such as an elastic balloon filling with air, an incompressible fluid domain may have pure Dirichlet boundary conditions, leading to two related issues which have been described as the incompressibility dilemma. First, the Dirichlet boundary conditions must satisfy the incompressibility constraint for a solution to exist. However, the structure solver is unaware of this constraint and may supply the fluid solver with incompatible velocities. Second, the constant fluid pressure mode lies in the null space of the fluid pressure solver, but must be determined to apply to the structure. Previously proposed solutions to the incompressibility dilemma have included modifying the fluid solver, the structure solver, or the Dirichlet-Neumann coupling interface between them. In this paper, we present a boundary pressure projection method which alleviates the incompatibility while maintaining the Dirichlet-Neumann structure of the decomposition and without modification of the fluid or solid solvers. Our method takes incompatible velocities from the structure solver and projects them to be compatible while in the process computing the constant pressure modes for the Dirichlet regions. The compatible velocities are then used as Dirichlet boundary conditions for the fluid while the constant pressure modes are added to the fluid-solver-computed pressures to be applied to the structure. The intermediate computation performed in the boundary pressure projection method is small, with the number of unknowns equal to the number of Dirichlet regions. We show that the boundary pressure projection method can be used to solve a variety of scenarios including inflation of an elastic bal

关键词： fluid-structure interaction Partitioned fluid-structure interaction Incompressible fluid Dirichlet-Neumann decomposition

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Evaluation of accuracy of phase-sensitive method in estimation of axial motion and deformation with fluid-structure interaction analysis

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JAPANESE JOURNAL OF APPLIED PHYSICS 2021年第SD期60卷

作者： Ishikawa, Kazuma Mozumi, Michiya Omura, Masaaki Nagaoka, Ryo Hasegawa, Hideyuki Univ Toyama Grad Sch Sci & Engn Educ Toyama 9308555 Japan Univ Toyama Acad Assembly Fac Engn Toyama Japan

Accuracies of ultrasonic methods for estimation of motion/deformation should be evaluated, but such evaluation in real experiments is not easy because it is difficult to know the true distribution of motion/deformation in complex geometry, such as an atherosclerotic plaque model. In the present study, numerical simulation was performed to obtain ultrasonic echo signals from a deforming plaque model. The accuracies of our phase-sensitive 2D motion estimator in estimation of velocity and strain rate were evaluated to be 22.8% and 27.6%, respectively, and the spatial features of the estimated velocity and strain rate distributions were well corresponded to the true distributions.

关键词： fluid-structure interaction Medical ultrasound 2D tracking method

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Response of a Double Hypar Fabric structure Under Varying Wind Speed Using fluid-structure interaction

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LATIN AMERICAN JOURNAL OF SOLIDS AND structureS 2021年第4期18卷

作者： Gerardo Valdes-Vazquez, Jesus David Garcia-Soto, Adrian Chiumenti, Michele Univ Guanajuato Dept Civil & Environm Engn Av Juarez 77 Guanajuato 36000 Gto Mexico Univ Politecn Cataluna Int Ctr Numer Methods Engn CIMNE Campus Norte UPC Barcelona 08034 Spain

Wind effects on tensile fabric structures (TFS) are not extensively investigated. Available studies consider simplified TFS support conditions and comparisons between static and dynamic analyses are lacking. The response of a double hypar TFS under varying wind speed is carried out by using fluid-structure interaction (FSI). Realistic support conditions are considered. The double hypar geometry is determined through form finding. Computational fluid dynamics (CFD) is the basis to perform dynamic analysis to propose pressure coefficients useful for design. Differences between dynamic and static analyses are assessed. It is found that the stresses in the fabric and axial forces in the supports are significantly different for each type of analysis, which cannot be captured by simplified uniform uplift wind and snow loadings. Static analysis using pressure coefficients leads to differences of up to 17.3% for stresses in the fabric, 10.5% for the compressive force in the masts and 33.5% for the tensile force in the cables, compared to a FSI analysis. Results give further insight into the wind response of realistic TFSs.

关键词： tensile fabric structure double hypar fluid-structure interaction finite element simulation form-finding wind-induced forces

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A fully Lagrangian formulation for fluid-structure interaction problems with free-surface flows and fracturing solids

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COMPUTERS & structureS 2021年 250卷 106532-106532页

作者： Cornejo, Alejandro Franci, Alessandro Zarate, Francisco Onate, Eugenio Int Ctr Numer Methods Engn Carrer Gran Capita S-N Barcelona 08034 Spain

This paper presents a novel coupled formulation for fluid-structure interaction (FSI) problems involving free-surface fluid flows, fracture phenomena, solid mutual contact and large displacements. The numerical formulation combines three different Lagrangian computational methods. The Particle Finite Element Method (PFEM) is used to solve the free-surface fluid flow, a Finite Element Method (FEM) with smoothed isotropic damage model is employed for the solution of solid structures and debris, finally, the Discrete Element Method (DEM) is used to manage the contact interaction between different solid boundaries, including the new ones generated by propagating cracks. The proposed method has a high potential for the prediction of the structural damages on civil constructions caused by natural hazards, such as floods, tsunami waves or landslides. Its application field can also be extended to fracture phenomena in structures and soils/rocks arising from explosions or hydraulic fracking processes. Several numerical examples are presented to show the validity and accuracy of the numerical technique proposed. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： Fracture mechanics Free-surface flow fluid-structure interaction Discrete element method Particle finite element method

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Fast meshless solution for axial fluid-structure interaction of liquid-pipes with supports

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JOURNAL OF fluidS AND structureS 2021年 104卷 103249-103249页

作者： Xu, Yuanzhi Jiao, Zongxia Deng, Yang Beihang Univ Res Inst Frontier Sci Beijing 100191 Peoples R China Beihang Univ Sch Automat Sci & Elect Engn Beijing 100191 Peoples R China Beihang Univ Ningbo Inst Technol Ningbo 315800 Peoples R China

The axial vibration of the liquid-filled pipes can be represented with a four-equation fluid-structure interaction (FSI) model. When distributed friction was neglected, this model could be solved with an exact solution without computational grid, while the only weakness was the high time cost. A fast meshless solution (FMS) developed earlier used the time-line interpolation rather than the recursive algorithm, to speed the calculation. For the purpose of practical applications, the FMS for supports at pipe end and middle position is proposed, and series connection is also studied in this paper. The support is described by the complex constraint including elastic, damping and inertial effects. A numerical case of the double-pipe water hammer is employed to validate the series connection and end supports. The FMS for the middle support is validated by an existing experiment, where the support can be described by the dry friction. Both numerical and experimental cases indicate the effectiveness and the efficiency of the proposed solution method. (C) 2021 Elsevier Ltd. All rights reserved.

关键词： fluid-structure interaction Liquid-pipe vibration Meshless solution Exact solution Pipe support

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Influence of residual stress and fluid-structure interaction on the impact behavior of fused filament fabrication components

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ADDITIVE MANUFACTURING 2021年 37卷

作者： Sunny, Sumair Chen, Huiluo Malik, Arif Lu, Hongbing Univ Texas Dallas Dept Mech Engn Richardson TX 75080 USA

Despite the proliferation of cellular fused filament fabrication (FFF) polymer components for a variety of industrial applications, few studies have investigated their fluid-structure interaction (FSI) behavior during loading, particularly under dynamic impact conditions. Furthermore, the extent to which residual stresses from the FFF build process affect the dynamic load bearing characteristics has not been addressed. In this work, simulations and experiments are conducted for cylindrical nylon specimens fabricated with two different internal closed-cell cavity structures to assess the influence of the entrapped fluid and the FFF residual stresses on the state of stress during high strain-rate impact. The demonstrated 2-stage computational approach includes a thermomechanical model of the FFF build to calculate residual stress and distortion, which forms the initial state for a subsequently executed dynamic impact model using smoothed particle hydrodynamics (SPH) to capture the effects of air within the internal cavities. Dynamic displacement boundary conditions for the FSI simulations are identified using digital image correlation (DIC), obtained from impact experiments on the FFF specimens performed using split Hopkinson pressure bar (SHPB) tests. Findings reveal that FFF residual stresses significantly influence the stress-strain response during dynamic impact, even at strain rates of 500-600 s(-1). In addition, while the influences of both FFF residual stress and FSI vary with internal cellular structure, the study reveals that their coupled effects must be considered to accurately characterize the impact behavior. Validity of the 2-stage numerical approach, as well as significance of FFF residual stress and the influence of FSI, are justified by comparing numerical predictions with experimental measurements, and observing root-mean-square stress errors within 12.77% and 11.87%, and peak stress errors within 1.93% and 1.34% for the two specimens.

关键词： Fused filament fabrication Material extrusion fluid-structure interaction Residual stress Dynamic impact Numerical modeling

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Dynamic Modeling of Spent Fuel Rack Pool Subjected to Seismic Excitation Considering fluid-structure interaction

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JOURNAL OF PRESSURE VESSEL TECHNOLOGY-TRANSACTIONS OF THE ASME 2021年第6期143卷 061903页

作者： Ricciardi, Guillaume Kang, Heung Seok Oh, Dong Seok Lee, Kang Hee CEA Ctr Cadarache DES IRESNEDTN F-13108 St Paul Les Durance France Korea Atom Energy Res Inst Nucl Fuel Safety Res Dev 989-111 Daedeok Daero Daejeon 34057 South Korea

The spent fuel of a nuclear power plant is generally stored in a wet storage pool. In case of a seismic event, one has to ensure the integrity of the spent fuel and structures holding them called spent fuel racks. In this study, a simple model accounting for 12 racks is proposed and compared with experimental results involving reduced scale racks. fluid-structure interactions are modeled in terms of added coupling mass and damping, and free surface effects are accounted for. Comparison between simulations and experimental results showed good agreement. In spite of the simplicity of the model, simulations succeed to give a reasonable estimation of racks accelerations and were able to reproduce the effect of excitation amplitude and water level.

关键词： confined flow fluid forces fluid-structure interaction

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Experimental investigation of the fluid-structure interaction during the water impact of thin aluminium plates at high horizontal speed

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INTERNATIONAL JOURNAL OF IMPACT ENGINEERING 2021年 147卷 103673-103673页

作者： Spinosa, Emanuele Iafrati, Alessandro Inst Marine Engn CNR INM Via Vallerano 139 I-00128 Rome RM Italy

The water impact of an inclined flat plate and at high horizontal velocity is experimentally investigated with focus on the fluid-structure interaction aspects. Several test conditions have been examined by varying the vertical to horizontal velocity ratio, the pitch angle and the plate thickness. Measurements are performed in terms of strains, loads and local pressure. The study highlights the significant changes in the strains and, more in general, in the structural behaviour when varying the plate stiffness and the test conditions. For some of the test presented, permanent deformations are also found. The strong fluid-structure interaction is analysed by com-paring the simultaneous measurements of strains and pressures, and it is shown that the deformation of the plate leads to a reduction of the pressure peak and to a corresponding pressure rise behind it. The variation in the shape of the spray root caused by the structural deformation are discussed based on both pressure measurements and underwater images. Despite the reduction of the pressure peak intensity, it is shown that the structural deformation leads to an increase in the total loading up to 50% for the test conditions examined in this study. It is also observed that in presence of large structural deformations the hydrodynamic loads do not obey the scaling that works in the case of the thick plates, and some practical conclusions about the scaling of tests in presence of a strong fluid-structure interaction are provided.

关键词： fluid-structure interaction Water impact Aircraft ditching Hydroelasticity

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