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作者： Rahman, Md Towhidur Michigan State University

学位级别：M.S., Master of Science/Master of Surgery

fluid-structure interaction (FSI) study is of great importance to understand the hydrodynamic coupling of biological swimmers in surrounding environmental domain. Multiple numerical and experimental studies have taken place to capture the behavioral pattern from the environment, explore the physical phenomena and comprehension of dynamics to make contribution in real life applications. In this study, an immersed boundary-lattice Boltzmann method (IB-LBM) for fluid-structure interaction problems is presented. The impact of solid structure on to the surrounding fluid domain is dealt with by immersed boundary method (IBM), where the structure is assumed to be immersed into surrounding fluid and the effect of the immersed boundary are considered by exertion of Lagrangian force onto the surrounding fluid grid points as body force. The flow dynamics is determined by solving discrete lattice Boltzmann equation of a single relaxation time model. The structural dynamics are solved by the finite difference method. For solving the structural dynamics, inextensibility condition was applied. A staggered grid is used in the Lagrangian coordinate system, where tension force is defined on the interfaces (half-grids) and other variables are defined on the nodes. Tension force is calculated at the intermediate steps and used as inextensibility constraint to obtain filament position at the next time step. In the present study, a detailed derivation and corresponding discretization is done for multiple free-swimming cases for a thin flexible filament. The thin flexible filament is actuated by imposing oscillatory heaving and pitching motion at the leading edge with prescribed control parameters. The flow physics of the system is investigated and pressure on the surfaces of the flexible filament is obtained. The results obtained in this study shows consistency with previous publications. The presented computational modelling may be used in future with multiple obstacles in the domain, t

关键词： Swimming beams Boltzmann methods fluid-structure interaction

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Immersed Methods for fluid-structure interaction

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ANNUAL REVIEW OF fluid MECHANICS, VOL 52 2020年 52卷 421-448页

作者： Griffith, Boyce E. Patankar, Neelesh A. Univ N Carolina Dept Math Dept Appl Phys Sci Chapel Hill NC 27599 USA Univ N Carolina Dept Biomed Engn Chapel Hill NC 27599 USA Northwestern Univ Dept Mech Engn Evanston IL 60208 USA

fluid-structure interaction is ubiquitous in nature and occurs at all biological scales. Immersed methods provide mathematical and computational frameworks for modeling fluid-structure systems. These methods, which typically use an Eulerian description of the fluid and a Lagrangian description of the structure, can treat thin immersed boundaries and volumetric bodies, and they can model structures that are flexible or rigid or that move with prescribed deformational kinematics. Immersed formulations do not require body-fitted discretizations and thereby avoid the frequent grid regeneration that can otherwise be required for models involving large deformations and displacements. This article reviews immersed methods for both elastic structures and structures with prescribed kinematics. It considers formulations using integral operators to connect the Eulerian and Lagrangian frames and methods that directly apply jump conditions along fluid-structure interfaces. Benchmark problems demonstrate the effectiveness of these methods, and selected applications at Reynolds numbers up to approximately 20,000 highlight their impact in biological and biomedical modeling and simulation.

关键词： fluid-structure interaction immersed boundary method immersed interface method immersed finite-element method applications in medicine and biology

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Investigation on the influence of structural rigidity on the stiffness of aerostatic guideway considering fluid-structure interaction

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TRIBOLOGY INTERNATIONAL 2022年 173卷

作者： Qi, Lizi Liu, Liang Gao, Qiang Yao, Yifeng Lu, Lihua Gao, Siyu Harbin Inst Technol Sch Mechatron Engn Harbin Peoples R China HIT Chongqing Res Inst Chongqing Peoples R China POB 413 92 West Dazhi St Harbin 150001 Peoples R China

The static performances of the aerostatic guideway are significantly influenced by the fluid-structure interaction (FSI) effect. This paper investigates the FSI process between the air film and two-stage cantilever structure of the slider based on a two-way transient FSI model, in which the thickness and shape of actual air film can be acquired. Moreover, the stiffness of the aerostatic guideway system with two different materials 38CrMoAl nitriding steel and 7075 aluminum alloy, is investigated numerically and compared experimentally. It proves that the structural rigidity of the slider has a non-negligible impact on the stiffness of the aerostatic guideway system. The inner mechanism of this phenomenon is further discussed to provide meaningful guidance for the design of the aerostatic guideway system.

关键词： Aerostatic guideway Structural rigidity Static performance fluid-structure interaction

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A toolbox for fluid-structure interaction of slender bodies 14th

A toolbox for fluid-structure interaction of slender bodies

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14th European Wave and Tidal Energy Conference, EWTEC 2021

作者： Schmitt, P. Robinson, Desmond Queen’s Marine Laboratory 11-13 The Strand PortaferryBT11 1PF United Kingdom

Hydrodynamic loading of solid bodies like ships or breakwaters can be simulated well using geometry resolving computational fluid dynamics methods, where the body shape is resolved in the mesh describing the domain. Slender bodies, like spars, multiple tidal turbine blades or lattice structures would often require prohibitively high cell counts, since the geometrical features to be resolve are much smaller than the overall domain. However, such bodies are usually made up of generic cross sections like round, square or standardised technical profiles like the famous NACA 4/5 digit series for which good parametrisations of reaction forces to incoming flow exist. Actuator line methods thus apply inflow dependent reaction forces to the fluid domain, allowing the computationally efficient simulation of slender bodies and have been used extensively, for example for wake assessments or tidal turbine array simulations. Slender bodies are also standard building blocks of structural simulations using the finite element method. Combining actuator line theory with a finite element beam model allows to efficiently simulate flexible structures, like tidal turbine blades or nettings used in fish farms. This paper presents an implementation of such a coupled model in OpenFOAM. The underlying numerical method is detailed and first example application and validation cases are provided. © European Wave and Tidal Energy Conference 2021.

关键词： Actuator Line Model Computational fluid Dynamics fluid-structure interaction

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fluid-structure interaction in two-phase flow using a discrete forcing method

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN fluidS 2019年第5期91卷 247-261页

作者： Benguigui, W. Lavieville, J. Merigoux, N. EDF R&D Fluid Mech Energy & Environm Dept 6 Quai Wafter F-78400 Chatou France Univ Paris Saclay IMSIA UMR EDF CNRS CEA ENSTA 9219 F-91762 Palaiseau France

The numerical simulation of interaction between structures and two-phase flows is a major concern for many industrial applications. Using a discrete forcing method (see the work of Benguigui et al) (implemented in a multiphase CFD code based on a two-fluid approach) to track the solid motion in two-phase flow, an iterative fluid-structure coupling is developed to allow free-motion of multiple solids (with any kind of geometry) due to two-phase fluid forces. As the fluid-structure interface is located thanks to a time and space dependent porosity on a cartesian grid, the fluid force computation is accommodated to the interface tracking method. A Newmark algorithm is used to estimate the solid motion. The iterative coupling is addressed in detail going from the algorithm to the determination of its convergence parameter. Three application cases are proposed to validate the method from motion under a single- to a two-phase flow.

关键词： CFD fluid-structure interaction immersed boundary two-phase flow

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fluid-structure interaction analysis of transient convection heat transfer in a cavity containing inner solid cylinder and flexible right wall

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INTERNATIONAL JOURNAL OF NUMERICAL METHODS FOR HEAT & fluid FLOW 2019年第10期29卷 3756-3780页

作者： Alsabery, Ammar, I Saleh, Habibis Ghalambaz, Mohammad Chamkha, Ali J. Hashim, Ishak Islamic Univ Coll Tech Engn Refrigerat & Air Conditioning Tech Engn Dept Najaf Iraq Univ Kebangsaan Malaysia Fac Sci & Technol Ctr Modelling & Data Sci Bangi Selangor Malaysia Univ Islam Negeri Sultan Syarif Kasim Riau Math Educ Dept Pekanbaru Indonesia Ton Duc Thang Univ Dept Management Sci & Technol Dev Ho Chi Minh City Vietnam Ton Duc Thang Univ Fac Appl Sci Ho Chi Minh City Vietnam Prince Mohammad Bin Fahd Univ Dept Mech Engn Prince Sultan Endowment Energy & Environm Al Khobar Saudi Arabia Amer Univ Ras Al Khaimah RAK Res & Innovat Ctr Ras Al Khaymah U Arab Emirates

Purpose This paper aims to investigate the fluid structure interaction analysis of conjugate natural convection in a square containing internal solid cylinder and flexible right wall. Design/methodology/approach The right wall of the cavity is flexible, which can be deformed due to the interaction with the natural convection flow in the cavity. The top and bottom walls of the cavity are insulated while the right wall is cold and the left wall is partially heated. The governing equations for heat, flow and elastic wall, as well as the grid deformation are written in Arbitrary Lagrangian-Eulerian formulation. The governing equations along with their boundary conditions are solved using the finite element method. Findings The results of the present study show that the presence of the solid cylinder strongly affects the transient solution at the initial times. The natural convection flow changes the shape of the flexible right wall of the cavity into S shape wall due to the interaction of the flow and the structure. It is found that the increase of the flexibility of the right wall increases the average Nusselt number of the hot wall up to 2 per cent. Originality/value To the best of the authors' knowledge, the unsteady natural convection in an enclosure having a flexible wall and inner solid cylinder has never been reported before.

关键词： Transient natural convection Finite element method fluid-structure interaction Elastic wall Inner solid cylinder Local isothermal heater

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L^p-theory for a fluid-structure interaction model

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ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 2020年第5期71卷

作者： Denk, Robert Saal, Juergen Univ Konstanz Fachbereich Math & Stat D-78457 Constance Germany Heinrich Heine Univ Dusseldorf Math Inst Angew Anal D-40204 Dusseldorf Germany

We consider a fluid-structure interaction model for an incompressible fluid where the elastic response of the free boundary is given by a damped Kirchhoff plate model. Utilizing the Newton polygon approach, we first prove maximal regularity in L-p-Sobolev spaces for a linearized version. Based on this, we show existence and uniqueness of the strong solution of the nonlinear system for small data.

关键词： fluid-structure interaction maximal regularity Newton polygon

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Reduced-Order Modeling and Experimental Studies of Bilaterally Coupled fluid-structure interaction in Single-Degree-of-Freedom Flapping Wings

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JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME 2020年第2期142卷 021012页

作者： Schwab, Ryan K. Reid, Heidi E. Jankauski, Mark Montana State Univ Dept Mech & Ind Engn Bozeman MT 59717 USA

Flapping wings deform under both aerodynamic and inertial forces. However, many flapping wing fluid-structure interaction (FSI) models require significant computational resources which limit their effectiveness for high-dimensional parametric studies. Here, we present a simple bilaterally coupled FSI model for a wing subject to single-degree-of-freedom (SDOF) flapping. The model is reduced-order and can be solved several orders of magnitude faster than direct computational methods. To verify the model experimentally, we construct a SDOF rotation stage and measure basal strain of a flapping wing in-air and in-vacuum. Overall, the derived model estimates wing strain with good accuracy. In-vacuum, the wing has a large 3 omega response when flapping at approximately one-third of its natural frequency due to a superharmonic resonance, where the superharmonic occurs due to the interaction of inertial forces and time-varying centrifugal softening. In-air, this 3 omega response is attenuated significantly as a result of aerodynamic damping, whereas the primary omega response is increased due to aerodynamic loading. These results highlight the importance of (1) bilateral coupling between the fluid and structure, since unilaterally coupled approaches do not adequately describe deformation-induced aerodynamic damping and (2) time-varying stiffness, which generates superharmonics of the flapping frequency in the wing's dynamic response. The simple SDOF model and experimental study presented in this work demonstrate the potential for a reduced-order FSI model that considers both bilateral fluid-structure coupling and realistic multi-degrees-of-freedom flapping kinematics moving forward.

关键词： insect flight flexible wings reduced-order modeling fluid-structure interaction flapping wing micro air vehicles aeroelasticity flow-induced noise and vibration

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Analysis of shape optimization problems for unsteady fluid-structure interaction

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INVERSE PROBLEMS 2020年第3期36卷

作者： Haubner, Johannes Ulbrich, Michael Ulbrich, Stefan Tech Univ Munich Dept Math Boltzmannstr 3 D-85748 Garching Germany Tech Univ Munich Chair Math Optimizat Dept Math Boltzmannstr 3 D-85748 Garching Germany Tech Univ Darmstadt Dept Math Dolivostr 15 D-64293 Darmstadt Germany

Shape optimization via the method of mappings is investigated for unsteady fluid-structure interaction (FSI) problems that couple the Navier-Stokes equations and the Lame system. Building on recent existence and regularity theory we prove Frechet differentiability results for the state with respect to domain variations. These results form an analytical foundation for optimization und inverse problems governed by FSI systems. Our analysis develops a general framework for deriving local-in-time continuity and differentiability results for parameter dependent nonlinear systems of partial differential equations. The main part of the paper is devoted to conducting this analysis for the FSI problem, transformed to a shape reference domain. The underlying shape transformation-actually we work with the corresponding shape displacement instead-represents the shape and the main result proves the Frechet differentiability of the solution of the FSI system with respect to the shape transformation.

关键词： fluid-structure interaction shape optimization Frechet differentiability method of mappings Navier-Stokes equations Lame system shape identification

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A non-penetration FEM-MPM contact algorithm for complex fluid-structure interaction problems

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COMPUTERS & fluidS 2020年 213卷

作者： Song, Yan Liu, Yan Zhang, Xiong Tsinghua Univ Sch Aerosp Engn Beijing 100084 Peoples R China

The improved coupled finite element material point (ICFEMP) method is an effective way to deal with fluid-structure interaction problems. However, the FEM-MPM contact algorithm employed in ICFEMP suffers from the contact penetration problem which limits its application in engineering. In this paper, the reason leading to the penetration phenomenon is revealed. The singularity of the normal vector of two adjacent surfaces makes the contact position not well-defined around at the joint line, so that particles near the joint line may penetrate the contact surface. An improved local search method is proposed in this paper to eliminate the penetration. In addition, an iterative process for imposing contact forces is proposed as well to overcome the difficulty that contact conditions can hardly be satisfied simultaneously for all contact pairs caused by the interaction among them. Numerical results illustrate that the proposed contact algorithm thoroughly eliminates the penetration phenomenon even in complex engineering problem such as the airbag simulation. (C) 2020 Elsevier Ltd. All rights reserved.

关键词： Material point method fluid-structure interaction Particle-suface contact

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