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

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MATHEMATICS AND COMPUTERS IN SIMULATION 2020年第0期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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A class of analytic solutions for verification and convergence analysis of linear and nonlinear fluid-structure interaction algorithms

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COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING 2020年第0期362卷 112841-000页

作者： Hessenthaler, Andreas Balmus, Maximilian Roehrle, Oliver Nordsletten, David Univ Stuttgart Inst Modelling & Simulat Biomech Syst Pfaffenwaldring 5a D-70569 Stuttgart Germany Kings Coll London St Thomas Hosp Sch Biomed Engn & Imaging Sci 4th FL Rayne Inst London SE1 7EH England Univ Michigan Dept Biomed Engn & Cardiac Surg NCRC B202800 Plymouth Rd Ann Arbor MI 48109 USA

fluid-structure interaction (FSI) problems are pervasive in the computational engineering community. The need to address challenging FSI problems has led to the development of a broad range of numerical methods addressing a variety of application-specific demands. While a range of numerical and experimental benchmarks are present in the literature, few solutions are available that enable both verification and spatiotemporal convergence analysis. In this paper, we introduce a class of analytic solutions to FSI problems involving shear in channels and pipes. Comprised of 16 separate analytic solutions, our approach is permuted to enable progressive verification and analysis of FSI methods and implementations, in two and three dimensions, for static and transient scenarios as well as for linear and hyperelastic solid materials. Results are shown for a range of analytic models exhibiting progressively complex behavior. The utility of these solutions for analysis of convergence behavior is further demonstrated using a previously published monolithic FSI technique. The resulting class of analytic solutions addresses a core challenge in the development of novel FSI algorithms and implementations, providing a progressive testbed for verification and detailed convergence analysis. (C) 2020 ElsevierB.V. All rights reserved.

关键词： fluid-structure interaction Analytic solutions Convergence analysis Navier-Stokes equations Linear elasticity Hyperelasticity

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Optical coherence tomography-based patient-specific coronary artery reconstruction and fluid-structure interaction simulation

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BIOMECHANICS AND MODELING IN MECHANOBIOLOGY 2020年第1期19卷 7-20页

作者： Wang, Jiaqiu Paritala, Phani Kumari Mendieta, Jessica Benitez Komori, Yo Raffel, Owen Christopher Gu, Yuantong Li, Zhiyong Queensland Univ Technol Sch Chem Phys & Mech Engn Brisbane Qld 4000 Australia Hokkaido Univ Deformat Control Lab Sapporo Hokkaido 0608628 Japan Prince Charles Hosp Dept Cardiol Brisbane Qld 4032 Australia Univ Queensland Sch Med Brisbane Qld 4072 Australia Southeast Univ Sch Biol Sci & Med Engn Nanjing 210096 Peoples R China

Plaque rupture is related to the mechanical stress it suffered. The value and distribution of the mechanical stress in plaque could help on assessing plaque vulnerability. To look into the stress conditions in the coronary artery, a patient-specific coronary model was created by using optical coherence tomography (OCT) and angiography imaging data. The reconstructed coronary model consisted of the structure of the lumen, the arterial wall and plaque components. Benefited by the high resolution of OCT, detailed structures such as the thin fibrous cap could be observed and built into the geometry. On this reconstructed coronary model, a fully coupled fluid-structure interaction (FSI) simulation was performed. The principle stress in coronary plaque and the wall shear stress (WSS) were analyzed. The FSI simulation results show that the cap thickness had a significant effect on the stress, and the principle stress at the thin cap area was more than double of those at the locations with a larger thickness. WSS is thought as an important parameter to assess the potentially dangerous areas of the atherosclerosis-prone (caused by low WSS) and the plaque rupture (high WSS). From the WSS plots of our FSI model, the area with abnormal WSS value was detected around the position where a lipid core existed. The FSI simulation results were compared with the results from the conventional structure-only and the computational fluid dynamics (CFD)-only computational models to quantify the difference between the three models. We found little difference in the principle stress results between the FSI and the structure-only model, but a significant difference between the FSI and the CFD-only model when looking into the WSS. The WSS values at the two observation spots from the CFD-only model were higher than the values from the FSI model by 17.95% and 22.66% in average, respectively. Furthermore, the FSI model detected more areas of low WSS, because the fluid domain could expand circumfer

关键词： Plaque rupture Optical coherence tomography Coronary reconstruction fluid-structure interaction

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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年第Jun.15期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 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 109487-109487页

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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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 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 106912-106912页

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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Propulsion performance investigation of bio-inspired nano rotor base on fluid-structure interaction

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INTERNATIONAL JOURNAL OF MICRO AIR VEHICLES 2020年第12期12卷 -页

作者： Zhao, Shanyong Liu, Zhen Che, Penglei Li, Bingfei Dang, Tianjiao Bu, Chen Xi An Jiao Tong Univ Sch Aerosp State Key Lab Strength & Vibrat Mech Struct Xian Shaanxi Peoples R China

In this paper, the bio-inspired blade motion is introduced to improve the propulsive performance of nano rotor at an ultra-low Reynolds number. However, the complex flow interacts with the flexible composite blade structure resulting in the change of nano rotor propulsion performance and the vibration of blade structure. A composite nano rotor with blade-pitch motion is investigated computationally with a computational solvers based on fluid-structure interaction. The finite element model for the composite rotor is created and verified with a non-contact modal test. It is found that the simulation results matched well with the experimental results. Successively, the propulsive performance of a rigid nano rotor is studied. The propulsive performance of the nano rotor is analysed at different bio-inspired pitch frequencies. The results show that the figure of merit of the bio-inspired pitch rotor increases because of the bio-inspired blade pitch motion. And it is also found that the improvement of the propulsive performance of the nano rotor varies with the pitch frequency. The propulsive performance of the flexible bio-inspired nano rotor is also studied with by using fluid-structure interaction method. It is found that the computational results for flexible nano rotor are lower than that for rigid nano rotor. It is evident that it is necessary to consider the flexibility of the composite nano rotor when investigating the propulsion performance of bio-inspired nano rotor. And the response of blade structure is also studied. Structural dynamic analysis shows that the blade structure vibrates with small amplitude. And two peak values are found at the rotation frequency and the fundamental frequency of the nano rotor structure.

关键词： Bio-inspired nano rotor flexible blade fluid-structure interaction propulsion performance low Reynolds number

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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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