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Stability and error analysis of a splitting method using Robin-Robin coupling applied to a fluid-structure interaction problem

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NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS 2022年第5期38卷 1396-1406页

作者： Burman, Erik Durst, Rebecca Guzman, Johnny UCL Dept Math London England Brown Univ Div Appl Math Providence RI 02912 USA

We analyze a splitting method for a canonical fluid structure interaction problem. The splitting method uses a Robin-Robin boundary condition to define an explicit coupling between the fluid and the structure. We prove the method is stable and, furthermore, we provide an error estimate that shows the error at the final time T is O(T Delta t) where Delta t is the time step.

关键词： fluid-structure interaction Robin-Robin coupling

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Application of response surface optimization technology and fluid-structure interaction in the engineering design of torsional flow heat exchangers

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART C-JOURNAL OF MECHANICAL ENGINEERING SCIENCE 2022年第12期236卷 6607-6620页

作者： Gu, Xin Wang, Guan Li, Ning Chen, Cheng Zhang, Qianxin Zhengzhou Univ Sch Mech & Power Engn Zhengzhou Peoples R China Zhengzhou Univ Key Lab Proc Heat Transfer & Energy Saving Henan Zhengzhou Peoples R China

Shell and tube heat exchanger is an important part of industrial heating and cooling system. Because of the harsh operating conditions, and its complex fin and baffle structure with numerous holes, it is a great challenge for engineers to design and evaluate the baffle structure on the premise of ensuring the comprehensive performance. This paper aims to provide a method to optimize the baffle structure of torsional flow heat exchanger by comprehensively considering thermal, hydraulic, and mechanical properties. Based on fluid-structure interaction method, response surface methodology was applied to improve the structure configurations of torsional flow heat exchanger. The results show that the effects of various input parameters on objectives are related to each other, and the baffle width and inclination angle have a more obvious impact on heat exchanger. The tradeoff analysis is carried out for the optimization objectives, the candidate points obtained by optimization reveal that the fluid comprehensive performance of the optimal structure is increased by 10.99%, and the maximum equivalent stress is reduced by 8.74%. The research results offer theoretical guidance for the equipment maintenance and structural design of torsional flow heat exchanger.

关键词： Design of experiment torsional flow heat exchanger fluid-structure interaction structural parameters Laser Doppler velocimeter response surface

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Investigation of the cutting fluid's flow and its thermomechanical effect on the cutting zone based on fluid-structure interaction (FSI) simulation

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INTERNATIONAL JOURNAL OF ADVANCED MANUFACTURING TECHNOLOGY 2022年第1-2期121卷 267-281页

作者： Liu, Hui Meurer, Markus Schraknepper, Daniel Bergs, Thomas Rhein Westfal TH Aachen Lab Machine Tools & Prod Engn WZL Campus Blvd 30 D-52074 Aachen Germany Fraunhofer Inst Prod Technol IPT Steinbachstr 17 D-52074 Aachen Germany

Cutting fluids are an important part of today's metal cutting processes, especially when machining aerospace alloys. They offer the possibility to extend tool life and improve cutting performance. However, the equipment and handling of cutting fluids also raises manufacturing costs. To reduce the negative impact of the high cost of cutting fluids, cooling systems and strategies are constantly being optimized. In most existing works, the influences of different cooling strategies on the relevant process state variables, such as tool wear, cutting forces, chip breakage, etc., are empirically investigated. Due to the limitations of experimental methods, analysis and modeling of the working mechanism has so far only been carried out at a relatively abstract level. For a better understanding of the mechanism of cutting fluids, a thermal coupled two-dimensional simulation approach for the orthogonal cutting process was developed in this work. This approach is based on the Coupled Eulerian Lagrangian (CEL) method and provides a detailed investigation of the cutting fluid's impact on chip formation and tool temperature. For model validation, cutting tests were conducted on a broaching machine. The simulation resolved the fluid behavior in the cutting area and showed the distribution of convective cooling on the tool surface. This work demonstrates the potential of CEL-based cutting fluid simulation, but also pointed out the shortcomings of this method.

关键词： Cutting fluid simulation fluid-structure interaction Orthogonal cutting Heat transfer

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An implicit SPH-based structure model for accurate fluid-structure interaction simulations with hourglass control scheme

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EUROPEAN JOURNAL OF MECHANICS B-fluidS 2022年第0期96卷 122-145页

作者： Shimizu, Yuma Khayyer, Abbas Gotoh, Hitoshi Kyoto Univ Dept Civil & Earth Resources Engn Kyoto Japan

This work is dedicated to development of an implicit SPH (Smoothed Particle Hydrodynamics)-based structure model as well as its integrated purely Lagrangian meshfree hydroelastic FSI (fluid-structure interaction) solver for consistent, accurate and stable modeling of FSI problems. The implicit structure model is established in the context of Hamiltonian mechanics under the assumption of linear elastic solid. Four refined schemes are introduced for improved accuracy, consistency, efficiency and stability: two formerly developed schemes, HT (High-order implicit Time integration) scheme, [ii] HD (High -order Discretization) operator scheme;as well as the novel two schemes newly proposed in this work, namely [iii] IPC (Iterative Predictor-Corrector) calculation procedures to minimize errors related to an imprecise assumption on rotation matrix and [iv] IHC (Implicit Hourglass Control) scheme for stabilizing simulation by suppressing spurious zero-energy modes. An enhanced particle-based FSI solver is formulated within a unified SPH framework by integrating a refined ISPH (Incompressible SPH) fluid model and the proposed implicit structure model, which allows consistent fluid-structure time coupling adopting the equivalent time step sizes in both phases. The proposed implicit structure model and FSI solver are configured in two-dimensions and validated with several 2D structure and FSI benchmark tests showing that our proposed implicit framework could provide almost consistent robustness, accuracy and efficiency with respect to the explicit one. (C) 2022 Elsevier Masson SAS. All rights reserved.

关键词： Smoothed Particle Hydrodynamics Implicit structure model Hourglass control fluid-structure interaction

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Non-manifold anisotropic mesh adaptation: application to fluid-structure interaction

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ENGINEERING WITH COMPUTERS 2022年第5期38卷 4269-4288页

作者： Vanharen, Julien Loseille, Adrien Alauzet, Frederic Inria Saclay Gamma Project F-91120 Palaiseau France

A new strategy for high-fidelity unsteady mesh adaptation dealing with fluid-structure interaction (FSI) problems is presented using a partitioned approach. The Euler equations are solved by an edge-based Finite-Volume solver whereas the linear elasticity equations are solved by the finite-element method using the Lagrange P-1 elements. The coupling between both codes is realized by imposing suitable boundary conditions on conforming meshes even at the fluid-structure interface. Small displacements of the structure are assumed and so the mesh is not deformed. The unsteady mesh adaptation process is based on a unique cavity operator which can handle non-manifold geometry, the fluid-structure interface in this work. The computation of a well-documented two-dimensional test case is finally carried out to perform validation of this new strategy as well as a three-dimensional test case to demonstrate our ability to treat complex three-dimensional test cases.

关键词： Finite volume Finite element fluid-structure interaction Unsteady mesh adaptation Non-manifold geometry Shock waves

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fluid-structure interaction simulation for performance prediction and design optimization of parafoils

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ENGINEERING APPLICATIONS OF COMPUTATIONAL fluid MECHANICS 2023年第1期17卷

作者： Zhu, Hong Sun, Qinglin Tao, Jin Sun, Hao Chen, Zengqiang Zeng, Xianyi Soulat, Damien Nankai Univ Coll Artificial Intelligence Tianjin 300350 Peoples R China Univ Lille ENSAIT Lab Genie & Mat Text GEMTEX Roubaix France

Parachute design is challenging to achieve innovative progress if the dominant role of testing continues, as it will be an increasingly expensive and time-consuming work. The aim of this study is to establish a reliable and efficient design tool using existing advanced numerical modeling methods. This paper presents a numerical method based on two-way coupled fluid-structure interaction (FSI) strategies for predicting aerodynamic and flight performance for parafoil design optimization. The nonlinear finite element method was used for the canopy fabric model and flow field, and the fluid dynamics were solved by Reynolds-averaged Navier-Stokes with the Spalart-Allmaras turbulence model. The FSI simulations are performed to assess the aerodynamic performance and structural deformations of full-scale parafoil canopies. The equilibrium shape of the parafoil canopy under steady gliding states and the relevant flow field were analyzed to enhance confidence and understanding in the performance prediction of new parachutes. Three-dimensional FSI simulation results of parafoils show that the inflation caused flexible bulges of canopy cells, and the maximum lift coefficient increased more than 16% with a higher stall angle of attack than that of the rigid body model. A parafoil with a smaller leading edge inlet or a scaling down area can improve the aerodynamic performance, mainly manifested in a higher lift-to-drag ratio and better anti-stall performance. Finally, the prediction results of parafoil glide performance were verified by flight test data, and the prediction accuracy of the flexible model is more than 10% higher than that of the rigid model. This work makes the simulation tools a step closer to practical application.

关键词： fluid-structure interaction parafoil design aerodynamic characteristics performance prediction flexible deformation inflation

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Variational Approach to fluid-structure interaction via GENERIC

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JOURNAL OF NON-EQUILIBRIUM THERMODYNAMICS 2022年第2期47卷 217-226页

作者： Peschka, Dirk Zafferi, Andrea Heltai, Luca Thomas, Marita Weierstrass Inst Appl Anal & Stochast Berlin Germany Scuola Int Super Avanzati Trieste Italy

We present a framework to systematically derive variational formulations for fluid-structure interaction problems based on thermodynamical driving functionals and geometric structures in different coordinate systems by suitable transformations within this formulation. Our approach provides a promising basis to construct structure-preserving discretization strategies.

关键词： fluid-structure interaction damped Hamiltonian system transformations

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Numerical Simulation for Vortex-Induced Vibration (VIV) of a High-Rise Building Based on Two-Way Coupled fluid-structure interaction Method

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INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS 2022年第3N04期22卷 2240010-2240010页

作者： Yan, Bowen Ren, Hongyu Li, Dalong Yuan, Yangjin Li, Ke Yang, Qingshan Deng, Xiaowei Chongqing Univ Sch Civil Engn Chongqing Key Lab Wind Engn & Wind Energy Utiliza Chongqing 400045 Peoples R China Univ Hong Kong Dept Civil Engn Pokfulam Hong Kong Peoples R China

The vortex shedding phenomenon caused by flow separation at windward corners of a high-rise building would lead to significant vortex-induced vibrations (VIVs). This paper proposes a novel and efficient two-way coupled fluid-structure interaction (FSI) method named as equivalent lumped mass system (ELMS) method to study the wind-induced responses of the Common Advisory Aeronautical Council (CAARC) building. The numerical results of ELMS are validated based on available data of aeroelastic tests. To verify the computational efficiency of ELMS method, this study also employs the other two two-way coupled FSI methods (free-form deformation (FFD) method and mapping interpolation algorithms in system coupling (MIASC) method) to simulate the response of the same high-rise building. Furthermore, the VIV mechanisms of the high-rise building are explicitly discussed based on the numerical results of the ELMS method combined with large eddy simulation (LES). The outcomes show that the ELMS method could well capture the significant amplification of cross-wind response and "lock-in" phenomenon at the range of the critical wind speed. Moreover, the computational efficiency of the ELMS method is much improved compared with the other two FSI methods. The spatial correlation and spectral coherence of the local loads at different heights of the building are increased significantly at the "lock-in" stage. The findings in this study would facility the comprehensive understanding of the VIV phenomena of the high-rise building and provide an efficient two-way coupled FSI method for engineers and researchers involved in the wind-resistant design of slender tall buildings.

关键词： fluid-structure interaction vortex-induced vibration high-rise building large-eddy simulation aerodynamic instability

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Prediction of slamming pressure considering fluid-structure interaction. Part I: numerical simulations

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SHIPS AND OFFSHORE structureS 2022年第1期17卷 7-28页

作者： Truong, Dac Dung Jang, Beom-Seon Ju, Han-Baek Han, Sang Woong Seoul Natl Univ Res Inst Marine Syst Engn Dept Naval Architecture & Ocean Engn 01 Gwanak Ro Seoul 08826 South Korea Seoul Natl Univ Coll Engn Dept Naval Architecture & Ocean Engn Seoul South Korea Nha Trang Univ Dept Engn Mech Nha Trang City Vietnam

Marine structures are subjected to slamming loads characterised by high hydrodynamic pressure within short time durations. Such loads can cause local and global damages to structures. This paper, which is Part I in a series, reports a numerical investigation of slamming loads acting on flat stiffened plates and their dynamic response. The nonlinear explicit finite element code LS-Dyna with the Multi-Material Arbitrary Lagrangian-Eulerian (MMALE) solver was adopted to simulate the slamming impact on marine structures. The numerical method was validated by the relevant experimental data from the open literature in a comparison of slamming pressure and deflection data, as well as existing formulations. The Eulerian formulation was applied to describe the fluid flow, and a Lagrange formulation was employed to model flat stiffened plates. A penalty coupling algorithm was utilised to realise the fluid-structure interaction (FSI) between the plate and the fluid. Bilinear strain hardening with no strain-rate hardening and effect of the heat-affected zone (HAZ) were considered for the numerical simulation of the aluminum model, while nonlinear strain hardening and strain-rate hardening were adopted to verify the steel models. Effects of key influenced parameters such as water impact velocity, material behaviour, and air cushion on the slamming response were addressed accordingly. Additionally, a simulation of water hitting structure was proposed to investigate the slamming load characteristics acting on the bottom decks of offshore structures. As the next paper in this continuing series, Part II will present empirically derived formulations for prediction of slamming loads based on extensive parametric studies of actual scantlings of offshore structures, using the simulation methodology of water hitting proposed herein in Part I.

关键词： Slamming pressure wet drop test flat stiffened plate fluid-structure interaction heat-affected zone strain-rate effect

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An investigation of fluid-structure interaction in pipe conveying flow using reduced-order models

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MECCANICA 2022年第10期57卷 2473-2491页

作者： dos Santos, Joao D. B. Anjos, Gustavo R. Savi, Marcelo A. Univ Fed Rio de Janeiro Ctr Nonlinear Mech COPPE Dept Mech Engn POB 68-503 BR-21941972 Rio De Janeiro RJ Brazil

fluid-structure interactions are essential to be evaluated in pipelines where the fluid dynamics induces structural vibrations that need to be properly investigated for engineering design. The flow of internal fluids can be laminar or turbulent, which makes such analysis a complex task. This paper investigates the analysis of fluid-structure interaction from reduced-order models where a Bernoulli-Euler beam is employed to represent the pipe while fluid dynamics is represented by nonlinear oscillators. Structural analysis employs the Galerkin method for spatial discretization. fluid dynamics is described by considering van der Pol oscillator together with the Langevin equation. In this regard, laminar and turbulent responses are described. Results show that the reduced-order model allows one to replicate the frequency spectrum of the pipeline response considering the parametric variation of the flow velocity and stochastic fluctuations. Nonlinear dynamics perspective shows to be interesting representing instabilities and some complex responses as limit cycle behavior.

关键词： fluid-structure interaction Flow-induced vibration Pipe conveying fluid Stochastic fluctuation Langevin's model Nonlinear dynamics

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