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An isogeometric FE-BE method to investigate fluid-structure interaction effects for an elastic cylindrical shell vibrating near a free surface

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OCEAN ENGINEERING 2022年 251卷

作者： Yildizdag, M. Erden Ardic, I. Tugrul Ergin, Ahmet Istanbul Tech Univ Fac Naval Architecture & Ocean Engn TR-34469 Istanbul Turkey

In this study, an isogeometric finite element-boundary element (FE-BE) framework is proposed to investigate frequency-dependent hydrodynamic characteristics of elastic structures vibrating at free surface or in the vicinity of free surface. The overall numerical framework consists of two parts. In the first part, in vacuo dynamic characteristics are obtained by an isogeometric finite element method (IGAFEM) formulation. Then, in the second part, frequency-dependent generalized added mass and generalized hydrodynamic damping coefficients are obtained by an isogeometric boundary element method (IGABEM) formulation, assuming that the surrounding fluid is ideal, i.e., inviscid, incompressible and its motion is irrotational. To include free surface effects, the free surface boundary conditions are satisfied with an appropriate Green's function in the mathematical formulation. To show the applicability of the presented framework, an elastic cylindrical shell which was studied previously in the literature is investigated considering that the structure is partially or fully submerged into fluid of infinite depth. It is shown that the results obtained in this study compare very well with the results available in literature.

关键词： Hydroelasticity Isogeometric analysis Finite element method Boundary element method Free-surface effects fluid-structure interaction

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Earthquake damage estimation of the Koyna concrete gravity dam using explicit GFVM model considering fluid-structure interaction

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MATHEMATICS AND COMPUTERS IN SIMULATION 2022年 195卷 151-170页

作者： Sabbagh-Yazdi, Saeed-Reza Farhoud, Arwin Mohammadi, Amir Yazdinasabkarani, Elahe KN Toosi Univ Technol Civil Engn Dept 1346 Valiasr St Tehran 19697 Iran

In this paper, an Explicit Galerkin Finite Volume Method (E-GFVM) is employed to estimate damage paths in concrete structures through the definition of nonlinear behavior of concrete. Furthermore, to verify the accuracy and efficiency of the present method, the E-GFVM outcomes are compared with the Explicit Finite Element Method (E-FEM) which is a well-known numerical method for investigating numerous solid mechanics problems. Due to the essence of explicit methods, the method in question uses a few matrix operations in nonlinear analysis, so it diminishes computation workloads for time-dependent cases with small time-step. The reason for using E-GFVM was its simplicity and high accuracy in estimating stresses and displacements for the analysis of Computational Solid Mechanics (CSM) problems. Furthermore, one important feature of FVM is its local conservation properties which guarantee the global conservation of variables that provides more stability, particularly in dealing with complex problems. To model the nonlinear behavior of concrete, the two equivalent uniaxial stress-strain relations, taking into consideration the softening and hardening behavior in both compression and tension, are implemented in the proposed numerical method. In other words, the bi-axial concrete behavior is defined by applying the idea of current strength in principal stress space. Therefore, this study aims to introduce a new numerical method that in addition to reducing time consumption, can maintain the accuracy of the results. For reaching this purpose, first, the nonlinear behavior of concrete is modeled and two different specimens are placed under pure pressure and tension loads. The results calculated by the E-GFVM are compared with other literature. After verification of the nonlinear behavior of concrete using E-GFVM, the ability of the proposed method for analysis of a real-world case under time-dependent conditions, namely Koyna concrete gravity dam which experienced a destruc

关键词： Explicit GFVM Damaged concrete behavior Explicit FEM Koyna concrete gravity dam fluid-structure interaction

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A comprehensive assessment of accuracy of adaptive integration of cut cells for laminar fluid-structure interaction problems

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COMPUTERS & MATHEMATICS WITH APPLICATIONS 2022年 122卷 1-18页

作者： Kadapa, Chennakesava Wang, Xinyu Mei, Yue Univ Bolton Sch Engn Bolton BL3 5AB England Dalian Univ Technol Dept Engn Mech Dalian Peoples R China

Finite element methods based on cut-cells are becoming increasingly popular because of their advantages over formulations based on body-fitted meshes for problems with moving interfaces. In such methods, the cells (or elements) which are cut by the interface between two different domains need to be integrated using special techniques in order to obtain optimal convergence rates and accurate fluxes across the interface. The adaptive integration technique in which the cells are recursively subdivided is one of the popular techniques for the numerical integration of cut-cells due to its advantages over tessellation, particularly for problems involving complex geometries in three dimensions. Although adaptive integration does not impose any limitations on the representation of the geometry of immersed solids as it requires only point location algorithms, it becomes computationally expensive for recovering optimal convergence rates. This paper presents a comprehensive assessment of the adaptive integration of cut-cells for applications in computational fluid dynamics and fluid -structure interaction. We assess the effect of the accuracy of integration of cut cells on convergence rates in velocity and pressure fields, and then on forces and displacements for fluid-structure interaction problems by studying several examples in two and three dimensions. By taking the computational cost and the accuracy of forces and displacements into account, we demonstrate that numerical results of acceptable accuracy for FSI problems involving laminar flows can be obtained with only fewer levels of refinement. In particular, we show that three levels of adaptive refinement are sufficient for obtaining force and displacement values of acceptable accuracy for laminar fluid-structure interaction problems.

关键词： Incompressible Navier-Stokes Immersed boundary methods fluid-structure interaction CutFEM Adaptive integration Flow-induced vibrations

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A high-order partitioned fluid-structure interaction framework for vortex-induced vibration simulation

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APPLIED MATHEMATICAL MODELLING 2022年 105卷 321-339页

作者： Yu, Meilin Liu, Kan Zhu, Weidong Univ Maryland Baltimore Cty UMBC Dept Mech Engn Baltimore MD 21250 USA Shijiazhuang Tiedao Univ Sch Civil Engn Shaoxing Peoples R China

Vortex-induced vibration (VIV) is a highly nonlinear fluid-structure interaction (FSI) phenomenon, and its accurate prediction remains challenging. In this study, we developed a high-order partitioned FSI framework towards accurate simulation of the VIV phenomenon. The focus is on simulating the two-way coupled interaction between a flexibly mounted rigid body and its surrounding fluids. In the FSI framework, a high-order computational fluid dynamics method, i.e., flux reconstruction/correction procedure via reconstruction, is utilized to simulate the unsteady compressible Navier-Stokes equations in the arbitrary Lagrangian Eulerian format on unstructured moving grids. A linearized fluid-solid Riemann solver is employed to weakly couple fluid dynamics and rigid-body dynamics on the fluidsolid interface, which can effectively mitigate the so-called added-mass instability. Time marching is conducted through either the linearly implicit Rosenbrock-Wanner method or the explicit strong stability preserving Runge-Kutta method. The high-order FSI framework is verified with a challenging VIV phenomenon, i.e., VIV of a zero-mass cylinder in viscous flows, and has been used to study two VIV-related problems, namely, the nonlinear energy sink and oscillating foil based energy harvesting mechanism. (c) 2022 Elsevier Inc. All rights reserved.

关键词： fluid-structure interaction Vortex-induced vibration fluid-solid Riemann solver High-order methods Nonlinear energy sink Renewable energy harvesting

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Numerical study on aeroelastic behavior of spoiler on low-rise building based on fluid-structure interaction method

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JOURNAL OF BUILDING ENGINEERING 2022年 59卷

作者： Gan, Shi Li, Gang Dong, Zhiqian Li, Hongnan Zhao, Mi Dalian Univ Technol Fac Infrastruct Engn Dalian 116024 Liaoning Peoples R China Beijing Univ Technol Key Lab Urban Secur & Disaster Engn Minist Educ Beijing 100124 Peoples R China

Technical mitigation devices have been demonstrated to be efficient for decreasing the peak and mean wind pressures on the roof systems of low-rise buildings through disrupting vortex for-mation. Previous investigations have regarded mitigation devices as rigid bodies and neglected aeroelastic behavior. However, the relatively large uplift force induces small-stiffness mitigation devices vibration and introduces a considerable aeroelastic effect. These effects might result in an increase in negative wind pressure on the building roof and the aeroelastic instability problems of mitigation devices. Therefore, the current study conducted two-way fluid-structure interaction (FSI) numerical simulation for a low-rise flat-roof building with mitigation devices (metal and polymer spoilers) to investigate the influence of the aeroelastic effect of spoiler on the wind pressure on the building roof. The large eddy simulation (LES) method and the finite element analysis (FEA) model are used to solve the flow field and the structural responses of the spoiler, respectively. The computational model and method are verified by comparing the calculation results with previous experimental results and benchmark computational tests. The dynamic response of spoiler, the flow instabilities and the wind pressure on the building roof are analyzed. The influence mechanism of the spoiler vibration on the flow field over the building, the wind pressure on the building roof and the uplift force on the spoiler were revealed considering the influencing factors, including the vibrational amplitude of spoiler and the wind direction. The results show that the aeroelastic effect of spoiler increases the negative wind pressure on the roof, and the larger the vibrational amplitude of spoiler is, the more the negative wind pressure in-creases. The negative wind pressure on the eave also increases with increasing wind direction angle. The main reason for this phenomenon is that the spoiler vibration incr

关键词： Low-rise buildings Wind pressure Mitigation device fluid-structure interaction Aeroelastic behavior

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Efficient split-step schemes for fluid-structure interaction involving incompressible generalised Newtonian flows

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COMPUTERS & structureS 2022年 260卷

作者： Schussnig, Richard Pacheco, Douglas R. Q. Fries, Thomas-Peter Graz Univ Technol Inst Struct Anal Lessingstr 25-2 A-8010 Graz Austria Graz Univ Technol Graz Ctr Computat Engn Krenngasse 37-1 A-8010 Graz Austria Graz Univ Technol Inst Appl Math Steyrergasse 30-3 A-8010 Graz Austria

Blood flow, dam or ship construction and numerous other problems in biomedical and general engineering involve incompressible flows interacting with elastic structures. Such interactions heavily influence the deformation and stress states which, in turn, affect the engineering design process. Therefore, any reliable model of such physical processes must consider the coupling of fluids and solids. However, complexity increases for non-Newtonian fluid models, as used, e.g., for blood or polymer flows. In these fluids, subtle differences in the local shear rate can have a drastic impact on the flow and hence on the coupled problem. There, existing (semi-) implicit solution strategies based on split-step or projection schemes for Newtonian fluids are not applicable, while extensions to non-Newtonian fluids can lead to substantial numerical overhead depending on the chosen fluid solver. To address these shortcomings, we present here a higher-order accurate, added-mass-stable fluid-structure interaction scheme centered around a split-step fluid solver. We compare several implicit and semi-implicit variants of the algorithm and verify convergence in space and time. Numerical examples show good performance in both benchmarks and an idealised setting of blood flow through an abdominal aortic aneurysm considering physiological parameters. (C) 2021 The Author(s). Published by Elsevier Ltd.

关键词： fluid-structure interaction Non-Newtonian fluid Split-step scheme Time-splitting method Semi-implicit coupling Incompressible flow

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A fluid-structure interaction analysis of design factor of subsurface irrigation PC dripper

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JOURNAL OF MECHANICAL SCIENCE AND TECHNOLOGY 2022年第7期36卷 3469-3475页

作者： Kang, Woong Bhin Kim, Jeongsik Mo, Hyeonguk Eum, Dukho Lee, Sanghun Kim, Jinhyun Kim, Seolha Kyungpook Natl Univ Dept Precis Mech Engn Sangju 37224 South Korea Kyungpook Natl Univ Young Engn Educ Program Multidisciplinary Smart D Sangju 37224 South Korea Namkyung Co Ltd Hwaseong 18626 South Korea Rural Dev Adm Natl Inst Crop Sci Dept Southern Area Crop Sci Miryang 50424 South Korea

A subsurface drip irrigation system delivers water and nutrients directly to the plant root zone;other conventional nozzles-type or sprinklers-type irrigation are not used, and water-saving can reach 42-78%. In order to achieve this impact effectively, the drip irrigation requires a constant water supply under variations in pressure, which is so-called pressure compensating (PC) performance. The pressure compensating feature can be obtained by physical interaction between water flow and deformable silicone rubber in the PC dripper. In addition, pressure condition to ensure uniform water flow as a tresholding point also should be well designed, but it is generally have relied on the empiricial optimization. Here, we applied computational fluid dynamics to investigate water flow features in terms of flow rate and pressure drop of a conventional PC dripper. To understand the quantitative effects of changes in design parameters, we explored the fluid-structure interaction scheme in the CFD analysis between water flow and silicone rubber deformation. In this study, it is found that the marginal space for the silicone rubber deformation determined the threshold pressure condition;the friction condition of the tortuous channel of the dripper controlled the flow rate. This parametric study gave the logical insight to design new drip emitter with well-controlled and improved performance.

关键词： Computational fluid dynamics Dripper design factors fluid-structure interaction Pressure compensation Surface irrigation

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Comparative study of arterial wall models for numerical fluid-structure interaction simulation of aortic arch aneurysms

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JOURNAL OF THE BRAZILIAN SOCIETY OF MECHANICAL SCIENCES AND ENGINEERING 2022年第5期44卷 1-14页

作者： Ferreira da Silva, Mario Luis Goncalves, Saulo de Freitas Huebner, Rudolf Univ Fed Minas Gerais Dept Mech Engn Grad Program Mech Engn Antonio Carlos AvePampulha6627 BR-31270901 Belo Horizonte MG Brazil Univ Fed Minas Gerais Dept Mech Engn Antonio Carlos AvePampulha 6627 BR-31270901 Belo Horizonte MG Brazil

The arterial wall model adopted in the fluid-structural numerical simulations is directly related to its mechanical response, as well as to the flow field. The work developed here compares different arterial wall models for an aneurysm located in the aortic arch. Isotropic linear elastic, Yeoh isotropic polynomial hyperelastic, and Holzapfel anisotropic hyperelastic models were used. Physiological boundary conditions were used throughout the cardiac cycle, and the non-Newtonian model of Carreau was used as rheological model. The fluid domain was discretized by the finite volume method, and the solid domain was discretized by the finite element method. The results showed that the less stiff model, i.e., the isotropic linear elastic model with modulus of elasticity E = 1 MPa, had a greater increase in the aneurysmal sac, which favored recirculation and induced low values of wall shear stress, which may be an indication of intraluminal thrombus formation overestimation. However, the peak of maximum principal stress, which occurred at the junction of supra-aortic branches with aortic arch, was higher in the Yeoh model, which may represent an overestimation of the rupture risk in stiffer models.

关键词： Aortic wall model fluid-structure interaction Aortic arch aneurysm Pulsatile blood flow Hemodynamics

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Coupling of the meshless finite volume particle method and the finite element method for fluid-structure interaction with thin elastic structures

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EUROPEAN JOURNAL OF MECHANICS B-fluidS 2022年 92卷 117-131页

作者： McLoone, Maryrose Quinlan, Nathan J. Natl Univ Ireland Galway Sch Engn Mech Engn Galway Ireland

A novel fluid-structure interaction (FSI) scheme is developed in this article, with the meshless finite volume particle method (FVPM) for fluid dynamics and the finite element (FE) solver FEBio for solid mechanics. Like smoothed particle hydrodynamics (SPH), FVPM is based on compactly supported particle kernels, but kernels are interpreted as a partitioning of volume, leading to a scheme with properties of both SPH and classical finite volume methods. Particle methods are advantageous for fluid modelling in FSI of highly deformable structures, as the particles can conform to the dynamic geometry of the fluid-structure interface. In FVPM, in particular, particles are rigorously truncated by boundaries, and the novel FSI scheme incorporates a sharp interface between the fluid and solid. A new method is described which avoids the possibility of unphysical communication between fluid particles separated by a thin structure. The method proposed here ensures that particles interact with the correct neighbour particles and boundaries, regardless of the particle overlap with the thin structure, allowing for particle size that can be chosen independently of structure thickness. The new method is validated for a hydrostatic water column on an elastic plate, a dam-break with elastic gate, a dam-break with a downstream elastic wall, and a 2-D model of a heart valve leaflet. In the latter two cases, the structure thickness is less than the particle diameter by a factor of up to 16. The results agree well with experimental data from the literature for fluid velocity field and solid deformation. Where quantitative data is available, the numerical results converge with decreasing particle size.(c) 2021 Elsevier Masson SAS. All rights reserved.

关键词： Finite volume particle method Particle method Meshless method fluid-structure interaction Thin structure Finite element method

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Stability Analysis of Polytopic Discontinuous Galerkin Approximations of the Stokes Problem with Applications to fluid-structure interaction Problems

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JOURNAL OF SCIENTIFIC COMPUTING 2022年第1期90卷 1-31页

作者： Antonietti, Paola F. Mascotto, Lorenzo Verani, Marco Zonca, Stefano Politecn Milan MOX Dipt Matemat Milan Italy Univ Milano Bicocca Dip Matemat Applicazioni Milan Italy Univ Wien Fak Mathemat Vienna Austria

We present a stability analysis of the Discontinuous Galerkin method on polygonal and polyhedral meshes (PolyDG) for the Stokes problem. In particular, we analyze the discrete inf-sup condition for different choices of the polynomial approximation order of the velocity and pressure approximation spaces. To this aim, we employ a generalized inf-sup condition with a pressure stabilization term. We also prove a priori hp-version error estimates in suitable norms. We numerically check the behaviour of the inf-sup constant and the order of convergence with respect to the mesh configuration, the mesh-size, and the polynomial degree. Finally, as a relevant application of our analysis, we consider the PolyDG approximation for a 2D fluid-structure interaction problem and we numerically explore the stability properties of the method.

关键词： Discontinuous Galerkin Polygonal and polyhedral meshes fluid-structure interaction

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