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Homogenization of the fluid-structure interaction in acoustics of porous media perfused by viscous fluid

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 2020年第4期71卷 1-28页

作者： Rohan, Eduard Naili, Salah Univ West Bohemia Fac Appl Sci NTIS New Technol Informat Soc Tech 8 Plzen 30100 Czech Republic Univ Paris Est Creteil CNRS MSME F-94010 Creteil France Univ Gustave Eiffel MSME F-77447 Marne La Vallee France

This paper aims to clarify the homogenization results of the fluid-structure interaction in porous structures under the quasi-static and dynamic loading regimes. In the latter case, the acoustic fluctuations yield naturally a linear model which can be introduced in the configuration deformed as the consequence of the steady permanent flow. We consider a Newtonian slightly compressible fluid under the barotropic acoustic approximation. In contrast with usual simplifications, the advection phenomenon of the Navier-Stokes equations is accounted for. The homogenization results are based on the periodic unfolding method combined with the asymptotic expansion technique which provide a straight procedure leading the local problems for corrector functions yielding the effective model parameters and the macroscopic model. We show that the local problems for the solid and fluid parts are decoupled even in the dynamic interactions including the wall shear stress on the periodic interfaces. The dynamic permeability depends on the fluid flow properties including the advection effects associated with an assumed stationary perfusion of the porous structure.

关键词： Homogenization Porous media Acoustic waves Navier-Stokes equations fluid-structure interaction Dynamic permeability Advection

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Simulation of cavitating fluid-structure interaction using SPH-FE method

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MATHEMATICS AND COMPUTERS IN SIMULATION 2020年 173卷 51-70页

作者： Kalateh, Farhoud Koosheh, Ali Univ Tabriz Fac Civil Engn Tabriz East Azerbaijan Iran

In the present paper, a modified version of SPH-FE is proposed to study the cavitating fluid interaction with the convergent- divergent nozzle. The additional terms of mass/momentum transfer, surface tension and pressure based phase change are added to the standard SPH equations to track the growth, convection and collapse of the cavitation phenomenon. Due to using the particle-based method for the fluid, no transitional phase is defined and the certain particle phase is determined by the absolute pressure value in comparison with vapor pressure. The comparison of the results of modified SPH with those of finite volume as a grid-based method shows that the cavitating region can be accurately modeled in the convergent-divergent nozzle. Then, the interaction of cavitating fluid flow-nozzle wall is simulated by the improved SPH-FE algorithm for the different types of steel where the good agreement is obtained in comparison with the other similar numerical methods. Also, it is concluded that considering cavitation in the fluid flow can generally change the nozzle behavior slightly and increase the stress values inside its body. (C) 2020 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.Y. All rights reserved.

关键词： Cavitating flow fluid-structure interaction Smoothed particle hydrodynamics (SPH) Finite element method (FEM) Immersed boundary Multi-phase fluid Phase change

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An immersed boundary-lattice Boltzmann method for fluid-structure interaction problems involving viscoelastic fluids and complex geometries

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JOURNAL OF COMPUTATIONAL PHYSICS 2020年 415卷

作者： Ma, Jingtao Wang, Zhen Young, John Lai, Joseph C. S. Sui, Yi Tian, Fang-Bao Univ New South Wales Sch Engn & Informat Technol Canberra ACT 2600 Australia Queen Mary Univ London Sch Engn & Mat Sci London E1 4NS England

An immersed boundary-lattice Boltzmann method (IB-LBM) for fluid-structure interaction (FSI) problems involving viscoelastic fluids and complex geometries is presented in this paper. In this method, the fluid dynamics and the constitutive equations of viscoelastic fluids are both solved using the lattice Boltzmann method. In order to enhance numerical stability in solving the constitutive equations, an artificial damping is introduced which does not affect the numerical results if the damping effect is much smaller than the relaxation and the convective effects. The structural dynamics including 2D and 3D capsules, 2D and 3D rigid particles and flags, are solved by the finite difference method (2D capsules, 2D and 3D rigid particles and flags) and the finite element method (3D capsules). The interaction between the solid structure and the fluid is enforced by an immersed boundary method. The overall framework of this method is very simple, enabling modelling FSI problems involving viscoelastic fluids and the inertia of both fluids and structures. It is very efficient for FSI problems involving high Weissenberg numbers flows, large deformations and complicated geometries without any preconditioner. This work uses IB-LBM to solve for the first time, flows involving viscoelastic fluids coupled with non-massless deforming structures. The method is also capable of solving very high Weissenberg number problems, as demonstrated by simulations of flexible particle flows at Wi = 100. The present method and models are validated by several cases including a 2D rigid particle migration in a Giesekus Couette flow, a spherical particle rotation in an Oldroyd-B shear flow, a spherical particle settling in a FENE-CR fluid, 2D and 3D capsules deformation in a Newtonian shear flow, and a 3D flag flapping in a Newtonian free stream. In addition, the present method is also applied to simulate the deformation of 2D and 3D capsules in an Oldroyd-B shear flow, a 3D flag flapping in an Old

关键词： Immersed-boundary method Lattice Boltzmann method fluid-structure interaction Viscoelastic fluids

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fluid-structure interaction between pulsatile blood flow and a curved stented coronary artery on a beating heart: A four stent computational study

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2019年 350卷 679-700页

作者： Bukac, Martina Canic, Suncica Tambaca, Josip Wang, Yifan Univ Notre Dame Dept Appl & Computat Math & Stat Notre Dame IN 46556 USA Univ Calif Berkeley Dept Math Berkeley CA 94720 USA Univ Zagreb Dept Math Zagreb Croatia

This work focuses on fluid-structure interaction (FSI) between a curved (tortuous) coronary artery with an implanted stent, pulsatile blood flow, and heart contractions. The goal is to understand which geometric distribution of stent struts, given by four different, commercially available stent geometries, is least likely to be associated with parameters correlated with pathobiologic responses leading to restenosis, in the case of curved coronary arteries, whose curvature changes significantly with each heart contraction. The stent geometries considered in this study correspond to a Palmaz-like stent, an Express-like stent, a Cypher-like stent, and a Xience-like stent. The biomechanical environment induced by each implanted stent is evaluated in terms of displacement magnitude, Von Mises stress, normal stress experienced by the intimal layer with implanted stent, and wall shear stress. Arterial walls are modeled as multi-layered structures: the intimal layer with the internal elastic laminae is modeled as a nonlinearly elastic membrane, while the media-adventitia complex is modeled as a 3D linearly elastic material. The Navier-Stokes equations for an incompressible, viscous fluid, are used to model the blood flow. Full, two-way coupling between the fluid and the structure, and between the thin and thick structure, is considered. To include the effects of the force exerted by the pericardium and heart muscle contractions, external force is applied to the coronary artery walls. Pulsatile boundary conditions were imposed at the inlet and outlet of the coronary segment, approximating measured diastolic coronary flow. The presence of an implanted stent was modeled by its impact on the mass and elasticity properties of the intimal layer where the stent is located. The stent material is modeled as a 316L stainless steel. A novel, loosely coupled partitioned scheme combined with an ALE approach was used to solve this nonlinear FSI problem. It was found that the Cypher-like

关键词： fluid-structure interaction Curved coronary artery Coronary stent Loosely coupled partitioned scheme Arbitrary Lagrangian-Eulerian formulation

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An explicit MPS/FEM coupling algorithm for three-dimensional fluid-structure interaction analysis

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ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS 2020年 121卷 192-206页

作者： Zheng, Zumei Duan, Guangtao Mitsume, Naoto Chen, Shunhua Yoshimura, Shinobu Univ Tokyo Dept Syst Innovat Bunkyo Ku Hongo 7-3-1 Tokyo 1138656 Japan Univ Tokyo Dept Nucl Engn & Management Bunkyo Ku Hongo 7-3-1 Tokyo 1138656 Japan Univ Tsukuba Fac Engn Informat & Syst Tennodai 1-1-1 Tsukuba Ibaraki 3058573 Japan

Currently, accurate simulations of fluid structure interaction (FSI) problems still remain a challenging task in the academic community. The purpose of this work is to develop a three-dimensional (3D) coupling algorithm to achieve the end, where the explicit moving particle simulation method (MPS) and the finite element method (FEM) are respectively employed to account for fluid flows and structural deformation. The developed coupling algorithm inherits the advantages of the aforementioned methods, while also addressing their shortcomings. We start by extending a newly proposed ghost cell boundary (GCB) model, which has proved to be an effective method to deal with the wall boundary of complicated shapes, to three dimensions. For the problems of interest, the finite elements for structural discretization serve as ghost cells for interaction force calculation, thereby providing an easy and natural way for the construction of ghost cells. The interactions between fluids and structures are dealt with using an integral version of the MPS model, and the resultant interaction forces calculated at integration points of a cell are distributed to finite element nodes for the update of nodal kinematics in the context of an explicit time integration scheme. The effectiveness and accuracy of the 3D GCB model are validated via two numerical examples, i.e., the dam break test and the water flow in a rotating gear test. Afterwards, the developed coupling algorithm is applied to two common FSI problems, i.e., the dam break tests with respective an elastic obstacle and an elastic gate. The good agreements between our simulation results and the existing data in literature demonstrate the accuracy and capacity of the developed coupling algorithm in solving FSI problems.

关键词： MPS-FEM coupling fluid-structure interaction Ghost cell boundary model Gauss integration

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A scalable framework for the partitioned solution of fluid-structure interaction problems

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COMPUTATIONAL MECHANICS 2020年第2期66卷 471-489页

作者： Naseri, Alireza Totounferoush, Amin Gonzalez, Ignacio Mehl, Miriam David Perez-Segarra, Carlos Univ Politecn Cataluna BarcelonaTech UPC ESEIAAT Heat & Mass Transfer Technol Ctr CTTC C Colom 11 Barcelona 08222 Spain Univ Stuttgart Inst Parallel & Distributed Syst IPVS Univ Str 38 D-70569 Stuttgart Germany

In this work, we present a scalable and efficient parallel solver for the partitioned solution of fluid-structure interaction problems through multi-code coupling. Two instances of an in-house parallel software, Termofluids, are used to solve the fluid and the structural sub-problems, coupled together on the interface via the preCICE coupling library. For fluid flow, the Arbitrary Lagrangian-Eulerian form of the Navier-Stokes equations is solved on an unstructured conforming grid using a second-order finite-volume discretization. A parallel dynamic mesh method for unstructured meshes is used to track the moving boundary. For the structural problem, the nonlinear elastodynamics equations are solved on an unstructured grid using a second-order finite-volume method. A semi-implicit FSI coupling method is used which segregates the fluid pressure term and couples it strongly to the structure, while the remaining fluid terms and the geometrical nonlinearities are only loosely coupled. A robust and advanced multi-vector quasi-Newton method is used for the coupling iterations between the solvers. Both the fluid and the structural solver use distributed-memory parallelism. The intra-solver communication required for data update in the solution process is carried out using non-blocking point-to-point communicators. The inter-code communication is fully parallel and point-to-point, avoiding any central communication unit. Inside each single-physics solver, the load is balanced by dividing the computational domain into fairly equal blocks for each process. Additionally, a load balancing model is used at the inter-code level to minimize the overall idle time of the processes. Two practical test cases in the context of hemodynamics are studied, demonstrating the accuracy and computational efficiency of the coupled solver. Strong scalability test results show a parallel efficiency of 83% on 10,080 CPU cores.

关键词： fluid-structure interaction Partitioned method Multi-code coupling Scalability High performance computing

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Developing the Actuator Disk Model to Predict the fluid-structure interaction in Numerical Simulation of Multimegawatt Wind Turbine Blades

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JOURNAL OF ENERGY RESOURCES TECHNOLOGY-TRANSACTIONS OF THE ASME 2020年第3期142卷 031204页

作者： Behrouzifar, Ali Darbandi, Masoud Sharif Univ Technol Ctr Excellence Aerosp Syst Dept Aerosp Engn Tehran Iran

The fluid-structure interaction (FSI) is generally addressed in multimegawatt wind turbine calculations. From the fluid flow perspective, the semi-analytical approaches, like actuator disk (AD) model, were commonly used in wind turbine rotor calculations. Indeed, the AD model can effectively reduce the computational cost of full-scale numerical methods. Additionally, it can substantially improve the results of pure analytical methods. Despite its great advantages, the AD model has not been developed to simulate the FSI problem in wind turbine simulations. This study first examines the effect of constant (rigid) cone angle on the performance of the chosen benchmark wind turbine. As a major contribution, this work subsequently extends the rigid AD model to nonrigid applications to suitably simulate the FSI. The new developed AD-FSI solver uses the finite-volume method to calculate the aerodynamic loads and the beam theory to predict the structural behaviors. A benchmark megawatt wind turbine is simulated to examine the accuracy of the newly developed AD-FSI solver. Next, the results of this solver are compared with the results of other researchers, who applied various analytical and numerical methods to obtain their results. The comparisons indicate that the new developed solver calculates the aerodynamic loads reliably and predicts the blade deflection very accurately.

关键词： actuator disk model wind turbine flexible blade fluid-structure interaction blade element momentum theory numerical study renewable energy

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Free vibration analysis of FGM cylindrical shells surrounded by Pasternak elastic foundation in thermal environment considering fluid-structure interaction

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APPLIED MATHEMATICAL MODELLING 2020年 78卷 550-575页

作者： Baghlani, Abdolhossein Khayat, Majid Dehghan, Seyed Mehdi Shiraz Univ Technol Dept Civil Engn & Environm Shiraz Iran

This paper presents an investigation on partially fluid-filled cylindrical shells made of functionally graded materials (FGM) surrounded by elastic foundations (Pasternak elastic foundation) in thermal environment. Material properties are assumed to be temperature dependent and radially variable in terms of volume fraction of ceramic and metal according to a simple power law distribution. The shells are reinforced by stiffeners attached to their inside and outside in which the material properties of shell and the stiffeners are assumed to be continuously graded in the thickness direction. The formulations are derived based on smeared stiffeners technique and classical shell theory using higher-order shear deformation theory which accounts for shear flexibility through shell's thickness. Displacements and rotations of the shell middle surface are approximated by combining polynomial functions in the meridian direction and truncated Fourier series with an appropriate number of harmonic terms in the circumferential direction. The governing equations of liquid motion are derived using a finite strip element formulation of incompressible inviscid potential flow. The dynamic pressure of the fluid is expanded as a power series in the radial direction. Moreover, the quiescent liquid free surface is modeled by concentric annular rings. A detailed numerical study is carried out to investigate the effects of power-law index of functional graded material, fluid depth, stiffeners, boundary conditions, temperature and geometry of the shell on the natural frequency of eccentrically stiffened functionally graded shell surrounded by Pasternak foundations. (C) 2019 Elsevier Inc. All rights reserved.

关键词： Functionally graded materials Free vibration Semi-analytical method Pasternak elastic foundation fluid-structure interaction Stiffeners

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A new formulation for fluid-structure interaction in pipes conveying fluids using Mindlin shell element and 3-D acoustic fluid element

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JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 2020年第7期42卷 1-23页

作者： Krishna, Kamal R. Kochupillai, Jayaraj Coll Engn Trivandrum Adv Dynam & Control Lab Trivandrum Kerala India Govt Engn Coll Mech Engn Dept Trivandrum Kerala India

This paper explores the vibratory behavior of fluid-conveying flexible shells using a new generic finite element formulation employing the first-order shear deformation theory. The flexible tube conveying fluid is modeled using eight-noded curved Mindlin shell elements, which incorporate the effects such as shearing deformations and rotary inertia. The fluid is modeled using twenty noded isoparametric acoustic fluid elements. Solving the wave equation for an abstract scalar field velocity potential, we get the equations of motion for the fluid element. The energy transfer within the fluid and the shell is idealized with the pressure and velocity boundary conditions, which guarantees proper contact between the fluid and structure. The flexible tubes find various applications in medical as well as pharmaceutical industries. Flexible tubes demand minimal energy to excite. Hence, they can find applications in the flow measuring devices, which use vibration techniques. There is a difference in the fundamental frequencies of silicone tubes measured in the horizontal and vertical planes. This difference is due to the sagging of flexible pipes, which causes a beat phenomenon. A novel laser scanning technique is proposed to obtain the actual dimensions of flexible tubes when it sags due to gravity. This actual dimension is analyzed using the new formulation developed. The numerical results, with the actual dimensions measured using the scanning technique, give a good match with the experimental results.

关键词： fluid-structure interaction Flow through flexible pipes Natural frequency Beat phenomenon Sagging of tubes Pre-stretch Thick shells

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A Concurrent Multi-Process Refinement method applied in two-dimensional strong-coupled fluid-structure interaction problems

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OCEAN ENGINEERING 2020年 197卷

作者： Qin, Hao Mu, Lin Tang, Wenyong Hu, Zhe China Univ Geosci Coll Marine Sci & Technol Wuhan 430074 Peoples R China Shenzhen Univ Coll Life Sci & Oceanog Shenzhen 518057 Peoples R China Southern Marine Sci & Engn Guangdong Lab Guangzho Guangzhou 511458 Peoples R China China Univ Geosci Shenzhen Res Inst Shenzhen 518057 Peoples R China Shanghai Jiao Tong Univ State Key Lab Ocean Engn Shanghai 200240 Peoples R China Jimei Univ Key Lab Ships & Ocean Engn Fujian Prov Xiamen 361021 Peoples R China

A Concurrent Multi-Process Refinement method for fluid-structure interaction (FSI) problems is developed and applied in a SIMPLE-based monolithic implicit method (SBMIM) initially presented by Hu et al. (2016). Concurrent Multi-Process Refinement method refines the computational domain of FSI simulations as several subdomains in multi-processes with multi-grid sizes and multi-time steps. Through file mapping, velocity and pressure data are transmitted between two processes using proper interpolations and time advance strategy. Numerical implementation and algorithm procedure of the method are explained in detail. Simulations of the liquid sloshing in a baffled tank are conducted to give an error estimation on different grid systems using the Grid Convergence Index (GCI). Simulations of the dam breaking flow slamming a vertical wall are conducted to verify the accuracy of present methods and to discuss the area selection of the localized FSI simulation. Simulations of the green water impact caused by freak wave are conducted to show the performance of this method in dealing with multi-scale ocean engineering problems and high-frequency structural vibrations. From results, it is seen that Concurrent Multi-Process Refinement method shows advantages in multi-scale FSI simulations using monolithic FSI methods and in predicting high-frequency structural vibrations, especially with low-cost computational facilities.

关键词： Refinement method fluid-structure interaction Monolithic FSI method Liquid sloshing Dam breaking impact Wave slamming

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