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A fluid-structure interaction TOOL USING A VAN DER POL BASED REDUCED-ORDER MODEL FOR BUFFET AND NON-SYNCHRONOUS VIBRATIONS

A FLUID-STRUCTURE INTERACTION TOOL USING A VAN DER POL BASED...

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67th ASME Turbomachinery Technical Conference and Exposition (Turbo Expo) on Road Mapping the Future of Propulsion and Power

作者： Hollenbach, Richard Kielb, Robert Hall, Kenneth Duke Univ Durham NC 27708 USA

ISBN: (纸本)9780791886120

This paper builds upon a two-degree-of-freedom Van der Pol oscillator based Reduced-Order Model for studying the mechanisms around Non-Synchronous Vibrations (NSV) in turbomachinery. One degree tracks the fluid motion utilizing a combination of a traditional Van der Pol Oscillator and a Duffing Oscillator;the other degree of freedom is a mass on a spring and a damper, in this case a cylinder. Thus, this model can be considered one of fluid-structure interaction. The cubic stiffening from the Duffing Oscillator proved to improve the match to experimental data. Using this model to study the time-history of the fluid and the structure oscillation, additional parameters are extracted to understand the underlying mechanisms of frequency lock-in and limit cycle oscillation. First, the phase shift between the vortex shedding and the structural motion is calculated when it locks-in then unlocks. Second, the work done per cycle is analyzed from the contributions of the mass, spring, and damping forces to determine the dominant contributor when locking-in versus unlocking. Third, the phase portrait is plotted on a Poincare Map to further study the locked-in versus unlocked responses. This model is then validated against not only experimental data, but also computational simulation results and previous reduced-order models. The finalized model can now serve as a preliminary design tool for turbomachinery applications. For more realistic and accurate modeling, a third degree-of-freedom in the form of an airfoil pitching motion will be added in a separate paper as well.

关键词： Nonsynchronous Vibrations Van der Pol fluid-structure interaction Reduced Order Model

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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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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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Nonlinear vibration analysis of a generally orthotropic cracked micro-plate with variable thickness considering fiber effects and fluid-structure interaction

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PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART G-JOURNAL OF AEROSPACE ENGINEERING 2025年

作者： Chandrakar, Bhupesh Kumar Jain, Nitin Kumar Gupta, Ankur Natl Inst Technol Dept Mech Engn Raipur 492010 India

This research investigates the nonlinear vibration response of partially cracked, generally orthotropic, rectangular micro-plates featuring non-uniform thicknesses coupled with a fluid medium. The traditional classical plate theory (CPT) in conjunction with a modified couple stress theory (MCST) is used to derive the governing equation of a generally orthotropic rectangular plate of varying thickness. The presence of a partial crack at the plate's center is modeled using a simplified line spring model (LSM), and in-plane forces and bending moment resulting from a partial crack are incorporated into the equation. Furthermore, the interaction with a fluid medium is considered, with the introduction of virtual added mass via the velocity potential function and Bernoulli's equations, considering both horizontal and vertical plate immersion scenarios. The study also explores thickness variations in one and two dimensions along the X and Y axes. The methodology employs Galerkin's approach to convert governing equations into time-dependent modal coordinates, and Berger's method introduces nonlinearity into these coordinates. The approximation solution, a method of multiple scales, is utilised to solve the plate's nonlinear governing equations. Various parameters are considered in the analysis, including crack length, size effect, thickness variations, fiber orientations, fluid levels, and immersion depth. The study explores the impact of these factors on the vibration behaviour of submerged partially cracked, generally, orthotropic non-uniform thickness micro-plates under two different boundary conditions, presenting novel findings. Additionally, an illustration is provided to visually depict the bending-hardening and bending-softening phenomenon concerning the taper constant and depth of submergence.

关键词： Vibration micro-plate crack varying thickness fluid-structure interaction

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Patient-Specific Bicuspid Aortic Valve Biomechanics: A Magnetic Resonance Imaging Integrated fluid-structure interaction Approach

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ANNALS OF BIOMEDICAL ENGINEERING 2021年第2期49卷 627-641页

作者： Emendi, Monica Sturla, Francesco Ghosh, Ram P. Bianchi, Matteo Piatti, Filippo Pluchinotta, Francesca R. Giese, Daniel Lombardi, Massimo Redaelli, Alberto Bluestein, Danny Politecn Milan Dept Elect Informat & Bioengn Milan Italy SUNY Stony Brook Dept Biomed Engn Stony Brook NY 11794 USA IRCCS Policlin San Donato 3D & Comp Simulat Lab San Donato Milanese Italy IRCCS Policlin San Donato Multimodal Cardiac Imaging Milan Italy IRCCS Policlin San Donato Dept Pediat & Adult Congenital Heart Dis San Donato Milanese Italy Siemens Healthcare GmbH Erlangen Germany

Congenital bicuspid aortic valve (BAV) consists of two fused cusps and represents a major risk factor for calcific valvular stenosis. Herein, a fully coupled fluid-structure interaction (FSI) BAV model was developed from patient-specific magnetic resonance imaging (MRI) and compared againstin vivo4-dimensional flow MRI (4D Flow). FSI simulation compared well with 4D Flow, confirming direction and magnitude of the flow jet impinging onto the aortic wall as well as location and extension of secondary flows and vortices developing at systole: the systolic flow jet originating from an elliptical 1.6 cm(2)orifice reached a peak velocity of 252.2 cm/s, 0.6% lower than 4D Flow, progressively impinging on the ascending aorta convexity. The FSI model predicted a peak flow rate of 22.4 L/min, 6.7% higher than 4D Flow, and provided BAV leaflets mechanical and flow-induced shear stresses, not directly attainable from MRI. At systole, the ventricular side of the non-fused leaflet revealed the highest wall shear stress (WSS) average magnitude, up to 14.6 Pa along the free margin, with WSS progressively decreasing towards the belly. During diastole, the aortic side of the fused leaflet exhibited the highest diastolic maximum principal stress, up to 322 kPa within the attachment region. Systematic comparison with ground-truth non-invasive MRI can improve the computational model ability to reproduce native BAV hemodynamics and biomechanical response more realistically, and shed light on their role in BAV patients' risk for developing complications;this approach may further contribute to the validation of advanced FSI simulations designed to assess BAV biomechanics.

关键词： Bicuspid aortic valve fluid-structure interaction Patient-specific model Magnetic resonance imaging 4D flow

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Mathematical Modeling and Numerical Simulation of Atherosclerotic Plaque Progression Based on fluid-structure interaction

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JOURNAL OF MATHEMATICAL fluid MECHANICS 2021年第3期23卷 1-21页

作者： Pozzi, Silvia Redaelli, Alberto Vergara, Christian Votta, Emiliano Zunino, Paolo Politecn Milan MOX Dipartimento Matemat Piazza Leonardo da Vinci 32 I-20133 Milan Mi Italy Politecn Milan Dipartimento Elettron Informaz & Bioingn Piazza Leonardo da Vinci 32 I-20133 Milan Mi Italy Politecn Milan Dipartimento Chim Mat & Ingn Chim Giulio Natta LaBS Piazza Leonardo da Vinci 32 I-20133 Milan Mi Italy

In this work we propose a mathematical and numerical model to describe the early stages of atherosclerotic plaque formation, which is based on the interaction of processes with different spatial and temporal scales. A fluid-structure interaction problem, used to describe the cardiovascular mechanics arising between blood and the artery wall, is coupled to a set of differential problems describing the evolution of solute concentrations. In order to manage the multiscale-in-space nature of the involved processes, we propose a suitable numerical strategy based on the splitting and sequential solution of the coupled problem. We present some preliminary numerical results and investigate the effects of geometry, model parameters and coupling strategy on plaque growth.

关键词： fluid-structure interaction Systems of partial differential equations Diffusion-reaction problems Wall shear stress Atherosclerosis Plaque progression

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Biomechanical mechanisms behind the distal false lumen enlargement after TEVAR for type b aortic dissections: A computational one-way fluid-structure interaction study

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JOURNAL OF BIOMECHANICS 2025年 188卷 112756-112756页

作者： Li, Junheng Wang, Shuaishuai Wang, Songchen Sun, Cuiru Dai, Xiangchen Liu, Haofei Tianjin Univ Dept Mech 92 Weijin Rd Tianjin Peoples R China Tianjin Med Univ Gen Hosp Dept Gen Surg 154 Anshan Rd Tianjin Peoples R China

Distal false lumen (FL) expansion is a common complication after thoracic endovascular aortic repair (TEVAR) of type-B aortic dissection (TBAD). FL expansion is likely to cause post dissection aortic aneurysm (PDAA). At present, the biomechanical mechanism leading to the expansion of the FL is not clear, resulting in difficulties in its prevention and treatment. This paper presents a patient-specific one-way fluid-structure interaction (FSI) method for post-TEVAR TBAD patients. This method was then employed to predict the hemodynamic parameters and wall stress in five unstable and five stable patients post-TEVAR. Simulation results were employed to identify the characteristic mechanical parameters for the FL expansion, and to propose a possible mechanism behind FL expansion involving the relationship between the aortic morphology and the characteristic parameters. The pressure difference between false and true lumen, and the average wall stress of FL are recognized as the characteristic parameters for FL expansion, which effectively differentiate the two groups. The threshold value of wall stress between the two groups is about 75 kPa. Abnormally high luminal pressure difference and wall stress in the unstable group were attributed to their anatomical features, such as: enlarged FL, compressed TL, elevated thrombus ratio in FL, and significantly larger tear size. In conclusion, post-TEVAR expansion of the FL is correlated to high luminal pressure difference and elevated FL wall stress, which might be caused by the morphological features of the aorta.

关键词： Aortic dissection TEVAR fluid-structure interaction Hemodynamics Structural stress

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An XFEM/DG Approach for fluid-structure interaction Problems with Contact

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APPLICATIONS OF MATHEMATICS 2021年第2期66卷 183-211页

作者： Formaggia, Luca Gatti, Federico Zonca, Stefano Politecn Milan Dipartimento Matemat Modellist & Calcolo Sci Piazza Leonardo da Vinci 32 I-20133 Milan Italy

In this work, we address the problem of fluid-structure interaction (FSI) with moving structures that may come into contact. We propose a penalization contact algorithm implemented in an unfitted numerical framework designed to treat large displacements. In the proposed method, the fluid mesh is fixed and the structure meshes are superimposed to it without any constraint on the conformity. Thanks to the Extended Finite Element Method (XFEM), we can treat discontinuities of the fluid solution on the mesh elements intersecting the structure. The coupling conditions at the fluid-structure interface are enforced via a discontinuous Galerkin mortaring technique, which is a penalization method that ensures the consistency of the scheme with the underlining problem. Concerning the contact problem, we consider a frictionless contact model in a master/slave approach. By considering the coupled FSI-contact problem, we perform some numerical tests to assess the sensitivity of the proposed method with respect to the discretization and contact parameters and we show some examples in the case of contact between a flexible body and a rigid wall and between two deformable structures.

关键词： fluid-structure interaction contact extended finite element method discontinuous Galerkin Nitsche’ s method

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An unfitted mesh semi-implicit coupling scheme for fluid-structure interaction with immersed solids

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INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING 2021年第19期122卷 5384-5408页

作者： Fernandez, Miguel A. Gerosa, Fannie M. Inria F-75012 Paris France Sorbonne Univ Paris France CNRS Paris France

Unfitted mesh finite element approximations of immersed incompressible fluid-structure interaction problems which efficiently avoid strong coupling without compromising stability and accuracy are rare in the literature. Moreover, most of the existing approaches introduce additional unknowns or are limited by penalty terms which yield ill-conditioning issues. In this paper, we introduce a new unfitted mesh semi-implicit coupling scheme which avoids these issues. To this purpose, we provide a consistent generalization of the projection based semi-implicit coupling paradigm of (Int. J. Num. Meth. Engg., 69(4):794-821, 2007) to the unfitted mesh Nitsche-extended-FEM framework.

关键词： fluid-structure interaction Nitsche-XFEM projection method semi-implicit coupling scheme unfitted meshes

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