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A unifying model for fluid flow and elastic solid deformation: A novel approach for fluid-structure interaction

JOURNAL OF fluidS AND structureS 2014年 51卷 344-353页

作者： Bordere, S. Caltagirone, J. -P. CNRS ICMCB UPR 9048 F-33600 Pessac France Univ Bordeaux ICMCB UPR 9048 F-33600 Pessac France IPB UMR CNRS 5295 TREFLE I2M F-33607 Pessac France

fluid-structure coupling is addressed through a unified equation for compressible Newtonian fluid flow and elastic solid deformation. This is done by introducing thermodynamics within Cauchy's equation through the isothermal compressibility coefficient that is experimentally measurable for both fluids and solids. The vectorial resolution of the governing equation, where every component of velocity vectors and displacement variation vectors is calculated simultaneously in the overall multi-phase system, is characteristic of a monolithic resolution involving no iterative coupling. For system equation closure, mass density and pressure are both re-actualized from velocity vector divergence, when the shear stress tensor within the solid phase is re-actualized from the displacement variation vectors. This novel approach is first validated on a two-phase system, involving a plane fluid-solid interface, through the two following test cases: (i) steady-state compression and (ii) longitudinal and transverse elastic wave propagations. Then the 3D study of compressive fluid injection towards an elastic solid is analyzed from initial time to steady-state evolution. (C) 2014 Elsevier Ltd. All rights reserved.

关键词： Multiphysics Multi-time scale fluid-structure interaction Elastic wave propagation Monolithic approach Unified formulation

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A fully implicit domain decomposition based ALE framework for three-dimensional fluid-structure interaction with application in blood flow computation

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JOURNAL OF COMPUTATIONAL PHYSICS 2014年 258卷 524-537页

作者： Wu, Yuqi Cai, Xiao-Chuan Univ Washington Dept Appl Math Seattle WA 98195 USA Univ Colorado Dept Comp Sci Boulder CO 80309 USA

Due to the rapid advancement of supercomputing hardware, there is a growing interest in parallel algorithms for modeling the full three-dimensional interaction between the blood flow and the arterial wall. In [4], Barker and Cai developed a parallel framework for solving fluid-structure interaction problems in two dimensions. In this paper, we extend the idea to three dimensions. We introduce and study a parallel scalable domain decomposition method for solving nonlinear monolithically coupled systems arising from the discretization of the coupled system in an arbitrary Lagrangian-Eulerian framework with a fully implicit stabilized finite element method. The investigation focuses on the robustness and parallel scalability of the Newton-Krylov algorithm preconditioned with an overlapping additive Schwarz method. We validate the proposed approach and report the parallel performance for some patient-specific pulmonary artery problems. The algorithm is shown to be scalable with a large number of processors and for problems with millions of unknowns. (C) 2013 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Blood flow simulation Restricted additive Schwarz Domain decomposition Fully implicit Monolithic coupling Parallel computing

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Experimental study of the steady fluid-structure interaction of flexible hydrofoils

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JOURNAL OF fluidS AND structureS 2014年 51卷 326-343页

作者： Zarruk, Gustavo A. Brandner, Paul A. Pearce, Bryce W. Phillips, Andrew W. Univ Tasmania Australian Maritime Coll Launceston Tas 7250 Australia Def Sci & Technol Org Maritime Div Fishermans Bend Vic 3207 Australia

This paper presents results from an experimental study of the hydrodynamic and hydroelastic performance of six different flexible hydrofoils of similar geometry;four metal hydrofoils of stainless steel (SS) and aluminum (AL), and two composite hydrofoils of carbon-fiber reinforced plastic (CFRP). The two CFRP hydrofoils had differing layups, one with fibers at 0 and the other at 30 relative to the spanwise axis of the hydrofoil. All hydrofoil models have the same unswept trapezoidal planform of aspect ratio 333. Two section profiles were chosen, a standard NACA0009 (Type I) and a modified NACA0009 (Type II) with a thicker trailing edge for improved manufacture of CFRP hydrofoils. Hydrofoils were tested in a water tunnel mounted from a six-component force balance. Forces and deformations were measured at several chord-based Reynolds numbers up to Re-c = 1.0 x 10(6) and incidences beyond stall. Hysteresis, force fluctuations, and the natural frequency of the hydrofoils in air and in water were also investigated. Pre-stall forces on the metal hydrofoils were observed to be Reynolds number dependent for low values but became independent at 0.8 x 10(6) and greater. Forces on the CFRP hydrofoils presented an increasing or decreasing lift slope for all Re, depending on the orientation of the carbon unidirectional layers. The change in loading pattern is due to the coupled bend twist deformation experienced by the hydrofoils under hydrodynamic loading. Forces and deflections in the Type I hydrofoils were observed to be stable up to stall and non-dimensional tip deflections were found to be independent of incidence and Rec. Type II metal hydrofoils had a mild Re, dependence, attributed to the blunt trailing edge, and Type II CFRP hydrofoils had a stronger incidence and Re c dependence. The natural frequency under stall conditions of all but one of the CFRP hydrofoils was in agreement with added mass and finite element analysis estimates. The disagreement was observed in the

关键词： fluid-structure interaction Hydrofoils Hydroelastic Composite

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Impact of fluid-structure interaction on Direct Tumor-Targeting in a Representative Hepatic Artery System

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ANNALS OF BIOMEDICAL ENGINEERING 2014年第3期42卷 461-474页

作者： Childress, Emily M. Kleinstreuer, Clement N Carolina State Univ Dept Mech & Aerosp Engn Raleigh NC 27695 USA N Carolina State Univ Dept Biomed Engn Raleigh NC 27695 USA Univ N Carolina Dept Biomed Engn Chapel Hill NC USA

Direct targeting of solid tumors with chemotherapeutic drugs and/or radioactive microspheres can be a treatment option which minimizes side-effects and reduces cost. Briefly, computational analysis generates particle release maps (PRMs) which visually link upstream particle injection regions in the main artery with associated exit branches, some connected to tumors. The overall goal is to compute patient-specific PRMs realistically, accurately, and cost-effectively, which determines the suitable radial placement of a micro-catheter for optimal particle injection. Focusing in this paper on new steps towards realism and accuracy, the impact of fluid-structure interaction on direct drug-targeting is evaluated, using a representative hepatic artery system with liver tumor as a test bed. Specifically, the effect of arterial wall motion was demonstrated by modeling a two-way fluid-structure interaction analysis with Lagrangian particle tracking in the bifurcating arterial system. Clearly, rapid computational evaluation of optimal catheter location for tumor-targeting in a clinical application is very important. Hence, rigid-wall cases were also compared to the flexible scenario to establish whether PRMs generated when based on simplifying assumptions could provide adequate guidance towards ideal catheter placement. It was found that the best rigid (i.e., time-averaged) geometry is the physiological one that occurs during the diastolic targeting interval.

关键词： Optimal tumor-targeting Drug particles fluid-particle dynamics fluid-structure interaction Rigid-wall assumption

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A non-iterative domain decomposition method for the interaction between a fluid and a thick structure

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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 2021年第4期37卷 2803-2832页

作者： Seboldt, Anyastassia Bukac, Martina Univ Notre Dame Dept Appl & Computat Math & Stat Notre Dame IN 46556 USA

This work focuses on the development and analysis of a partitioned numerical method for moving domain, fluid-structure interaction problems. We model the fluid using incompressible Navier-Stokes equations, and the structure using linear elasticity equations. We assume that the structure is thick, that is, described in the same dimension as the fluid. We propose a non-iterative, domain decomposition method where the fluid and the structure subproblems are solved separately. The method is based on generalized Robin boundary conditions, which are used in both fluid and structure subproblems. Using energy estimates, we show that the proposed method applied to a moving domain problem is unconditionally stable. We also analyze the convergence of the method and show O(Delta t(1/2)) convergence in time and optimal convergence in space. Numerical examples are used to demonstrate the performance of the method. In particular, we explore the relation between the combination parameter used in the derivation of the generalized Robin boundary conditions and the accuracy of the scheme. We also compare the performance of the method to a monolithic solver.

关键词： domain decomposition fluid-structure interaction non-iterative method

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A numerical framework for simulating fluid-structure interaction phenomena

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FRATTURA ED INTEGRITA STRUTTURALE 2014年第29期8卷 343-350页

作者： De Rosis, A. de Miranda, S. Burrafato, C. Ubertini, F. Univ Bologna Dept Agr Sci Viale Giuseppe Fanin 48 I-40127 Bologna Italy Univ Bologna Dept Civil Environm Chem & Mat Engn Bologna Italy

In this paper, a numerical tool able to solve fluid-structure interaction problems is proposed. The lattice Boltzmann method is used to compute fluid dynamics, while the corotational finite element formulation together with the Time Discontinuous Galerkin method are adopted to predict structure dynamics. The Immersed Boundary method is used to account for the presence of an immersed solid in the lattice fluid background and to handle fluid-structure interface conditions, while a Volume-of-fluid-based method is adopted to take trace of the evolution of the free surface. These ingredients are combined through a partitioned staggered explicit strategy, according to an efficient and accurate algorithm recently developed by the authors. The effectiveness of the proposed methodology is tested against two different cases. The former investigates the dam break phenomenon, involving the modeling of the free surface. The latter involves the vibration regime experienced by two highly deformable flapping flags obstructing a flow. A wide numerical campaign is carried out by computing the error in terms of interface energy artificially introduced at the fluid-solid interface. Moreover, the structure behavior is dissected by simulating scenarios characterized by different values of the Reynolds number. Present findings are compared to literature results, showing a very close agreement.

关键词： fluid-structure interaction Lattice Boltzmann method Immersed boundary method Volume-of-fluid method Dam break Flapping flags

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Existence of a weak solution to a steady 2D fluid-1D elastic structure interaction problem with Tresca slip boundary condition

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MATHEMATICS AND COMPUTERS IN SIMULATION 2021年 189卷 253-275页

作者： Ayed, Hela Baffico, Leonardo Sassi, Taoufik Univ Tunis El Manar Lab Modelisat Math & Numer Sci Ingenieur LAMSIN Ecole Natl Ingenieurs Tunis Tunis 1002 Tunisia Normandie Univ CNRS Lab Math Nicolas Oresme UNICAENLMNO F-14000 Caen France Univ Hail Math Dept Fac Sci Hail Saudi Arabia

We study a steady state fluid-structure interaction problem between an incompressible viscous Newtonian fluid and an elastic structure using a nonlinear boundary condition of friction type on the fluid-structure interface. This condition, also known as Tresca slip boundary condition, allows the fluid to slip on the interface when the tangential component of the fluid shear stress attains a certain threshold function. The governing equations are the 2D Stokes equations for the fluid, written in an unknown domain depending on the structure displacement, and the 1D Euler-Bernoulli model for the structure. We prove that there exists a weak solution of this nonlinear coupled problem by designing a proof based on the Schauder fixed-point theorem. The theoretical result will be illustrated with a numerical example. (C) 2021 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.

关键词： fluid-structure interaction Stokes equations Slip boundary condition of friction type

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Spatial velocity distributions in pulse-wave propagation based on fluid-structure interaction

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JOURNAL OF BIOLOGICAL PHYSICS 2014年第4期40卷 325-334页

作者： He, Fan Hua, Lu Gao, Li-jian Beijing Univ Civil Engn & Architecture Sch Sci Dept Mech Beijing 100044 Peoples R China Chinese Acad Med Sci Key Lab Clin Trial Res Cardiovasc Drugs Natl Ctr Cardiovasc Dis Minist HlthFuwai Hosp Beijing 100037 Peoples R China Peking Union Med Coll Beijing 100037 Peoples R China

In this paper, spatial velocity distributions in pulse-wave propagation based on a fluid-structure interaction model are presented. The investigation is performed using the assumption of laminar flow and a linear-elastic wall. The fluid-structure interaction scheme is constructed using the finite element method. The results show that velocity distributions embody an obvious time delay in an elastic tube model. Further, the fully developed flow is delayed and the velocity values are increased in comparison with a rigid tube model. The increase in the wall thickness makes the time delay between the velocity peaks of different sites smaller while the time delay between the velocity minima is unchanged. Similarly, the time delay between the velocity bottoms is more easily found when decreasing the internal radius. The model gives valid results for spatial velocity distributions, which provide important information for wave propagation.

关键词： Pulse-wave propagation Flow distribution fluid-structure interaction Finite element method

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Analysis of Nonlinear Dynamic Response of Wind Turbine Blade Under fluid-structure interaction and Turbulence Effect

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JOURNAL OF ENGINEERING FOR GAS TURBINES AND POWER-TRANSACTIONS OF THE ASME 2014年第10期136卷 102604页

作者： Zhang, Jianping Zhang, Kaige Zhou, Aixi Zhou, Tingjun Hu, Danmei Ren, Jianxing Shanghai Univ Elect Power Coll Energy & Mech Engn Shanghai 200090 Peoples R China Univ N Carolina Dept Engn Technol & Construct Management Charlotte NC 28223 USA

In this paper, the entity model of a 1.5MW offshore wind turbine blade was built by Pro/Engineer software. fluid flow control equations described by arbitrary Lagrange-Euler (ALE) were established, and the theoretical model of geometrically nonlinear vibration characteristics under fluid-structure interaction (FSI) was given. The simulation of offshore turbulent wind speed was achieved by programming in MATLAB. The brandish displacement, the Mises stress distribution and nonlinear dynamic response curves were obtained. Furthermore, the influence of turbulence and FSI on blade dynamic characteristics was studied. The results show that the response curves of maximum brandish displacement and maximum Mises stress present the attenuation trends. The region of the maximum displacement and maximum stress and their variations at different blade positions are revealed. It was shown that the contribution of turbulence effect (TE) on displacement and stress is smaller than that of the FSI effect, and its extent of contribution is related to the relative span length. In addition, it was concluded that the simulation considering bidirectional FSI (BFSI) can reflect the vibration characteristics of wind turbine blades more accurately.

关键词： wind turbine blade fluid-structure interaction turbulence effect geometric nonlinearity nonlinear dynamic response

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Unconditionally Stable Pressure-Correction Schemes for a Linear fluid-structure interaction Problem

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Numerical Mathematics(Theory,Methods and Applications) 2014年第4期7卷 537-554页

作者： Ying He Jie Shen Department of Mathematics Purdue UniversityWest LafayetteIN 47907USA

We consider in this paper numerical approximation of the linear fluid-structure interaction(FSI).We construct a new class of pressure-correction schemes for the linear FSI problem with a fixed interface,and prove rigorously that they are unconditionally *** schemes are computationally very efficient,as they lead to,at each time step,a coupled linear elliptic system for the velocity and displacement in the whole region and a discrete Poisson equation in the fluid region.

关键词： fluid-structure interaction pressure-correction stability analysis

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