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Reduced order modeling for a Schur complement method for fluid-structure interaction

JOURNAL OF COMPUTATIONAL PHYSICS 2024年 515卷

作者： de Castro, Amy Lee, Hyesuk Wiecek, Margaret M. Clemson Univ Sch Math & Stat Sci Clemson SC 29634 USA

We present a non-iterative Schur complement method for the solution of a fluid-structure interaction problem, employing projection-based reduced order models (ROMs) on one or both subdomains. The formulation is strongly coupled, using a Lagrange multiplier to represent the interfacial stress, and solving a Schur complement equation allows for the independent solution of the subdomain equations at each time step. The inclusion of ROMs in this scheme provides a more robust framework and makes the technique more computationally appealing. Utilizing the supremizer enrichment technique, we offer detailed investigations into the performance of this method with respect to the use of supremizers and with respect to the basis sizes of the reduced order variables. Results indicate that the ROM-ROM coupled formulation yields results that agree well with the full order solution in a shorter computational time and with a large reduction in the size of the algebraic system.

关键词： Proper orthogonal decomposition (POD) fluid-structure interaction Supremizer enrichment Schur complement method

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Dynamic stability analysis of laminated cylindrical shells considering fluid-structure interaction

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COMPOSITE structureS 2024年 340卷

作者： Feng, Jihang Wu, Yongfu Xue, Jianghong Lin, Jixin Jinan Univ Sch Mech & Construct Engn Key Lab Disaster Forecast & Control Engn MOE Guangzhou 510632 Peoples R China

This paper investigates the dynamic stability of laminated cylindrical shell submerged in a fluid. Assuming that the fluid is incompressible satisfying the Laplace equation, the coupling relationship between the external pressure from fluid acting on the cylindrical shell and the velocity potential function of the fluid is deduced by using Bernoulli law. Based on Karman-Donnell's thin shell theory, the governing equations for dynamic buckling of the composite laminated cylinder are established by introducing the constitutive relationship for laminated composite structures. Likely functions of the displacement and the stress function for cylindrical shell are proposed to construct Mathieu-Hill equation for dynamic stability of laminated cylindrical shell with fluid-structure interaction and the first three order dynamic instability regions are derived. A good agreement between the solutions from the proposed analysis and from the available literatures justified the accuracy and validity of the proposed analysis. With the established analysis, the influence of various parameters on the dynamic stability of cylinders are analyzed, from which a dynamic stability enhancement scheme suitable for composite laminated cylinders is summarized. It is found that the fluid-structure interaction will greatly reduce the excitation frequency of laminated cylindrical shells but has no effect on their vibration modes.

关键词： fluid-structure interaction Laminated cylindrical shell Dynamic instability region Parametric resonance Periodic load

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Dynamic Behavior and Mechanism of Transient fluid-structure interaction in Viscoelastic Pipes Based on Energy Analysis

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WATER 2024年第11期16卷 1468页

作者： Xu, Ying Zhang, Shuang Zhou, Linfeng Ning, Haoran Wu, Kai Harbin Univ Commerce Sch Energy & Architecture Engn 1 Xuehai St Harbin 150028 Peoples R China Hong Kong Prod Council Green Living & Innovat Div HKPC Bldg78Tat Chee Ave Hong Kong 999077 Peoples R China

The term "viscoelastic pipe" refers to high polymer pipes that exhibit both elastic and viscoelastic properties. Owing to their widespread use in water transport systems, it is important to understand the transient flow characteristics of these materials for pipeline safety. Despite extensive research, these characteristics have not been sufficiently explored. This study evaluates the impact of friction models on the transient flow of viscoelastic pipes across various Reynolds numbers by employing an energy analysis approach. Given the complexity and computational demands of two-dimensional models, this paper compares the accuracy of one-dimensional and quasi-two-dimensional models. Notably, the superiority of the quasi-two-dimensional model in simulating viscoelastic pipelines is demonstrated. Owing to the interaction between pressure waves and fluid within viscoelastic pipes, fluid-structure coupling significantly attenuates pressure waves during transmission. These findings shed light on the constitutive properties of viscoelastic pipes and the influence of pipe wall friction models on transient hydraulic characteristics, building upon prior studies focused on elastic pipes. Nevertheless, numerous factors affecting transient flow in viscoelastic pipes remain unexplored. This paper suggests further analysis of strain effects, starting with temperature and pipe dynamics, to enhance the understanding of the coupling laws and flow mechanisms in viscoelastic pipelines.

关键词： fluid-structure interaction friction model Reynolds number transient flow viscoelastic pipe

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Performance analysis and improvement of a novel reed valve in compressors using fluid-structure interaction method

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART E-JOURNAL OF PROCESS MECHANICAL ENGINEERING 2024年

作者： Luo, Leilei Guo, Bei Zhou, Yuhang Geng, Maofei Cai, Jiangpan Wang, Xiaolin Xi An Jiao Tong Univ Sch Energy & Power Engn 28 West Xianning Rd Xian 710049 Shaanxi Peoples R China State Key Lab High End Compressor & Syst Technol Hefei Anhui Peoples R China Fusheng Ind Shanghai Co Ltd Songjiang Shanghai Peoples R China Univ Tasmania Sch Engn & ICT Hobart Australia

The reed valves used as suction valves in reciprocating compressors are more susceptible to damage due to the limitation of the lift limiter which can't completely block the entire valve plate. This article proposed a novel reed valve featuring a redesigned shape aimed to solve this issue. Compared to conventional reed valves, the proposed valve could effectively mitigate the highest stress occurring at the root of the suction valve. To thoroughly investigate the characteristics of this valve type and improve its performance, a three-dimensional fluid-structure interaction (FSI) model was established and validated using experiments. The leakage through the valve gap in the FSI model was solved using a combination of user-defined function (UDF) and Scheme file in Fluent. Based on this FSI model, the dynamic characteristics and stress distribution of the valve were mainly analyzed. The effect of the lift limiter on the performance of the valve was analyzed, and a suitable lift was determined. Moreover, the influence of thickness and shape parameters, was also analyzed and an efficient improved scheme was subsequently proposed. Through this scheme, the maximum stress of the valve was reduced by 23.77% compared with that of the original valves. This article provides important information for the design and optimization of complex-shaped reed valves.

关键词： Reed valve fluid-structure interaction reciprocating compressor dynamic characteristics stress distribution

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Two-way coupling fluid-structure interaction analysis on dynamic response of offshore wind turbine

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MARINE GEORESOURCES & GEOTECHNOLOGY 2024年第11期42卷 1677-1686页

作者： Li, Fen Fu, Jiaojiao Chen, Jiahui Hu, Dan Wuhan Univ Technol Sch Naval Architecture Ocean & Energy Power Engn Wuhan Peoples R China Wuhan Univ Technol Key Lab High Performance Ship Technol Minist Educ Wuhan Peoples R China Tianma Microelect Co Ltd Shenzhen Peoples R China Wuhan Univ Technol Sch Naval Architecture Ocean & Energy Power Engn Dept Struct Engn Wuhan Peoples R China

The monopile-supported offshore wind turbines (OWTs) are subjected to the wave and current loadings. Affected by currents and waves, monopile-supported OWTs are also vulnerable to scour. However, the effect of scour and currents on the dynamic behavior of the monopile are not fully appreciated. This study conducted the model tests to evaluate the effect of scour depth and flow velocity on the lateral responses of support structure. Furthermore, the two-way (T-W) coupling fluid-structure interaction (FSI) method was proposed to evaluate the dynamic responses of piles in sand. The support structure is modeled using ABAQUS, a finite-element models software package, by considering the nonlinear soil-structure interaction effects, STAR-CCM + tools has been employed to model the FSI which are fed into ABAQUS to predict the structure's dynamic response. Using the proposed method, a parametric study has been conducted to evaluate the effects of scour depths, flow velocities on the dynamic responses of OWTs. The results indicate that scour altered the fundamental frequency of OWT, causing resonance. An increase in scour depth and flow velocity increased the dynamic responses of support structure, which are detrimental for the safety and stability of the OWT system.

关键词： Offshore wind turbine support structure model test dynamic response fluid-structure interaction

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On the role of tissue mechanics in fluid-structure interaction simulations of patient-specific aortic dissection

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2024年第14期125卷 e7478-e7478页

作者： Schussnig, Richard Rolf-Pissarczyk, Malte Baeumler, Kathrin Fries, Thomas-Peter Holzapfel, Gerhard A. Kronbichler, Martin Univ Augsburg High Performance Sci Comp Bavaria Germany Graz Univ Technol Inst Elect A-8010 Styria Austria Stanford Univ Dept Radiol Stanford CA USA Univ Technol Inst Struct Anal Styria Austria Norwegian Univ Sci & Technol Dept Struct Engn N-7052 Trondheim Norway Ruhr Univ Bochum Appl Numer North Rhine Westphalia Bochum Germany

Modeling an aortic dissection represents a particular challenge from a numerical perspective, especially when it comes to the interaction between solid (aortic wall) and liquid (blood flow). The complexity of patient-specific simulations requires a variety of parameters, modeling assumptions and simplifications that currently hinder their routine use in clinical settings. We present a numerical framework that captures, among other things, the layer-specific anisotropic properties of the aortic wall, the non-Newtonian behavior of blood, patient-specific geometry, and patient-specific flow conditions. We compare hemodynamic indicators and stress measurements in simulations with increasingly complex material models for the vessel tissue ranging from rigid walls to anisotropic hyperelastic materials. We find that for the present geometry and boundary conditions, rigid wall simulations produce different results than fluid-structure interaction simulations. Considering anisotropic fiber contributions in the tissue model, stress measurements in the aortic wall differ, but shear stress-based biomarkers are less affected. In summary, the increasing complexity of the tissue model enables capturing more details. However, an extensive parameter set is also required. Since the simulation results depend on these modeling choices, variations can lead to different recommendations in clinical applications.

关键词： anisotropy aortic dissection computational medicine fluid-structure interaction hemodynamics patient-specific vascular flow

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Analysis of dynamic characteristics of whipping effect on L-shaped main steam pipe considering fluid-structure interaction effect

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INTERNATIONAL JOURNAL OF IMPACT ENGINEERING 2024年 190卷

作者： Hu, Jincheng Wang, Xiaochuan Wang, Yuhan Huang, Yuxuan Chai, Tongshan Sun, Kunjie Wang, Zhineng Wuhan Univ Sch Power & Mech Engn Wuhan 430072 Peoples R China Wuhan Univ Inst Technol Sci Wuhan 430072 Peoples R China Wuhan Univ Hubei Key Lab Waterjet Theory & New Technol Wuhan 430072 Peoples R China Hunan Univ Sci & Technol Sch Mech Engn Xiangtan 411201 Peoples R China

To investigate the whipping effect on the L-shaped main steam pipe utilized in the marine steam systems, the fluid-structure interaction (FSI) method is utilized to numerically analyze its dynamic characteristics. The numerical results illustrate that the dynamic response of whipping effect with rupture position B on the oblique pipe section is more severe with the significantly larger displacement of L-shaped pipe and anti-whip restraints and more complex frequency characteristics than that of whipping effect with rupture position A on the right-angled elbow. The mode transition phenomenon is also observed in the case with rupture position B. The maximum deformation concentrates on different parts when burst of pipes occurs at different positions and the deformation with rupture position B is several times larger than that with rupture position A. The increase of gap between anti-whip restraints intensifies the whipping effect, but it also reduces the maximum restraint force. The friction acts as the resistance in the slip process and thus contributes to the protection against whipping effect. The antiwhip restraints E closed to rupture position B on the oblique pipe section has better performance than anti-whip restraints D in the protection against horizontal whipping effect.

关键词： Whipping effect L-shaped main steam pipes fluid-structure interaction Anti-whip restraints Rupture location

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Numerical simulation of 2-D fluid-structure interaction with a tightly coupled solver and establishment of the mooring model

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INTERNATIONAL JOURNAL OF NAVAL ARCHITECTURE AND OCEAN ENGINEERING 2021年 13卷 433-449页

作者： Tsai, I-Chen Li, Sing-Ya Hsiao, Shih-Chun Hsiao, Yu Natl Cheng Kung Univ Dept Hydraul & Ocean Engn Tainan Taiwan

In this study, a newly enhanced fluid-structure interaction (FSI) model which incorporates mooring lines was used to simulate a floating structure. The model has two parts: a Computational fluid Dynamics (CFD) model and a mooring model. The open-source CFD OpenFOAM (R) v1712 toolbox was used in the present study, and the convergence criteria and relaxation method were added to the computational procedure used for the OpenFOAM multiphase flow solver, interDyMFoam. A newly enhanced, tightly coupled solver, CoupledinterDyMFoam, was used to decrease the artificial added mass effect, and the results were validated through a series of benchmark cases. The mooring model, based on the finite element method, was established in MATLAB (R) and was validated against a benchmark analytical elastic catenary solution and numerical results. Finally, a model which simulates a floating structure with mooring lines was successfully constructed by connecting the mooring model to CoupledinterDyMFoam. (c) 2021 Society of Naval Architects of Korea. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://***/licenses/by-nc-nd/4.0/).

关键词： fluid-structure interaction Tightly coupled solver Mooring model OpenFOAM

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A simplified model for fluid-structure interaction: a cylinder tethered by springs in a lid-driven cavity flow

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JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 2021年第11期43卷 1-15页

作者： Borges, Jonatas Emmanuel de Souza Lourenco, Marcos Antonio Martinez Padilla, Elie Luis Micallef, Christopher Univ Fed Mato Grosso Food Engn Dept BR-78698000 Barra Do Garcas MT Brazil Univ Tecnol Fed Parana Mech Engn Dept BR-86300000 Cornelio Procopio PR Brazil Univ Fed Uberlandia Mech Engn Dept BR-38408144 Uberlandia MG Brazil Univ Malta Mech Engn Dept MSD-2080 Msida Malta

A simplified fluid-structure interaction model is presented, consisting of a cylinder tethered by a spring system interacting dynamically with the two-dimensional and incompressible lid-driven cavity flow. The fluid-structure interaction was solved in a partitioned way, having separate solvers for the fluid flow equations and the structural equations. The influence of the Reynolds number and spring constants on the cylinder motion and fluid flow was analyzed. Results show that as the Reynolds number increases, the secondary eddies grow in size and the primary eddy adapts to this change, shifting toward the center of the cavity. When the values of the spring constants are small (k = 0.01N/m), such that the spring forces are weaker than the fluid drag force, the springs stretch freely and the cylinder motion is the direct result of the fluid dynamics action. For higher values of spring constants (k > 0.01N/m), the cylinder motion reaches a maximum displacement, and the spring forces induce the cylinder to an oscillatory movement damped by the viscous fluid force;subsequently, the amplitude of the displacements decreases. As the Reynolds number increases, the cylinder motion is restricted within the mainstream fluid flow (considered the more energized region), having smaller displacements.

关键词： Finite volume method Incompressible fluid flow fluid-structure interaction Lid-driven cavity flow Immersed boundary method

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STUDY ON MODULAR SIMULATION OF fluid-structure interaction IN fluid-CONVEYING PIPELINES BASED ON SIMULINK 19

STUDY ON MODULAR SIMULATION OF FLUID-STRUCTURE INTERACTION I...

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19th IEEE International Computer Conference on Wavelet Active Media Technology and Information Processing (ICCWAMTIP)

作者： Chen Ming Yan Gang Liang Zeshan Peng Xiaoqing Chongqing CEPREI Ind Technol Res Inst Co Ltd Chongqing 401332 Peoples R China

ISBN: (纸本)9781665493895

The dynamic response characteristics of fluid-structure interaction (FSI) in fluid-conveying pipelines have always been a research hotspot in the field of pipeline transportation. The related mathematical models are mainly solved by numerical methods. In many common numerical methods, complex program codes need to be written, which affects the efficiency of simulation analysis. A modular simulation method based on Simulink is proposed in this paper. The numerical calculation modules integrated in Simulink are used to build the FSI models of the fluid-conveying pipelines, and the simulation modules library of typical pipe fittings and hydraulic boundaries is obtained by encapsulation. The graphical and modular simulation of FSI problems can be realized by the way of building blocks, which effectively improves the efficiency of simulation analysis. Taking reservoir-pipe-valve (RPV) system as an example, the simulation results show that the calculation results of the method proposed by this paper are in good agreement with those of the method of characteristics (MOC), which proves that the proposed method is correct and feasible, and has good application value for the practice of FSI simulation engineering.

关键词： fluid-conveying pipeline fluid-structure interaction Simulink Modular simulation

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