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Journal articles on the topic 'Finite element method. Fluid-structure interaction Turbulence'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 February 2022

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1

HOFFMAN, JOHAN, JOHAN JANSSON, and MICHAEL STÖCKLI. "UNIFIED CONTINUUM MODELING OF FLUID-STRUCTURE INTERACTION." Mathematical Models and Methods in Applied Sciences 21, no. 03 (March 2011): 491–513. http://dx.doi.org/10.1142/s021820251100512x.

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In this paper, we describe an incompressible Unified Continuum (UC) model in Euler (laboratory) coordinates with a moving mesh for tracking the fluid-structure interface as part of the discretization, allowing simple and general formulation and efficient computation. The model consists of conservation equations for mass and momentum, a phase convection equation and a Cauchy stress and phase variable θ as data for defining material properties and constitutive laws. We target realistic 3D turbulent fluid-structure interaction (FSI) applications, where we show simulation results of a flexible flag mounted in the turbulent wake behind a cube as a qualitative test of the method, and quantitative results for 2D benchmarks, leaving adaptive error control for future work. We compute piecewise linear continuous discrete solutions in space and time by a general Galerkin (G2) finite element method (FEM). We introduce and compensate for mesh motion by defining a local arbitrary Euler–Lagrange (ALE) map on each space-time slab as part of the discretization, allowing a sharp phase interface given by θ on cell facets. The Unicorn implementation is published as part of the FEniCS Free Software system for automation of computational mathematical modeling. Simulation results are given for a 2D stationary convergence test, indicating quadratic convergence of the displacement, a simple 2D Poiseuille test for verifying correct treatment of the fluid-structure interface, showing quadratic convergence to the exact drag value, an established 2D dynamic flag benchmark test, showing a good match to published reference solutions and a 3D turbulent flag test as indicated above.

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2

Tian, Yu Feng, and Yan Huang. "Numerical Simulation of Interactions between Waves and Pendulum Wave Power Converter." Applied Mechanics and Materials 291-294 (February 2013): 1949–53. http://dx.doi.org/10.4028/www.scientific.net/amm.291-294.1949.

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The interactions between waves and the pendulum wave power converter were simulated, considering Navier-Stokes (N-S) equations as governing equations of the fluid, using the k-ε turbulence model and finite element software ADINA. The setting wave-generating boundary method and viscosity damping region method were developed in the numerical wave tank. Nodal velocities were applied on each layer of the inflow boundary in the setting wave-generating boundary method. The viscosity of the fluid in the damping region was obtained artificially in the viscosity damping region method, and the energy in the fluid was decreased by the viscosity in governing equations. The physical model tests were simulated with the fluid-structure interaction (FSI) numerical model. The numerical results were compared with the experimental data, and then the results were discussed. A reference method is advanced to design the pendulum wave power converter. The method to solve the complex FSI problems is explored.

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3

Wang, Mingyang, Eldad J. Avital, Xin Bai, Chunning Ji, Dong Xu, John J. R. Williams, and Antonio Munjiza. "Fluid–structure interaction of flexible submerged vegetation stems and kinetic turbine blades." Computational Particle Mechanics 7, no. 5 (December 13, 2019): 839–48. http://dx.doi.org/10.1007/s40571-019-00304-6.

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AbstractA fluid–structure interaction (FSI) methodology is presented for simulating elastic bodies embedded and/or encapsulating viscous incompressible fluid. The fluid solver is based on finite volume and the large eddy simulation approach to account for turbulent flow. The structural dynamic solver is based on the combined finite element method–discrete element method (FEM-DEM). The two solvers are tied up using an immersed boundary method (IBM) iterative algorithm to improve information transfer between the two solvers. The FSI solver is applied to submerged vegetation stems and blades of small-scale horizontal axis kinetic turbines. Both bodies are slender and of cylinder-like shape. While the stem mostly experiences a dominant drag force, the blade experiences a dominant lift force. Following verification cases of a single-stem deformation and a spinning Magnus blade in laminar flows, vegetation flexible stems and flexible rotor blades are analysed, while they are embedded in turbulent flow. It is shown that the single stem’s flexibility has higher effect on the flow as compared to the rigid stem than when in a dense vegetation patch. Making a marine kinetic turbine rotor flexible has the potential of significantly reducing the power production due to undesired twisting and bending of the blades. These studies point to the importance of FSI in flow problems where there is a noticeable deflection of a cylinder-shaped body and the capability of coupling FEM-DEM with flow solver through IBM.

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4

Meng, Hang, Fue-Sang Lien, Gregory Glinka, Li Li, and Jinhua Zhang. "Study on wake-induced fatigue on wind turbine blade based on elastic actuator line model and two-dimensional finite element model." Wind Engineering 43, no. 1 (December 24, 2018): 64–82. http://dx.doi.org/10.1177/0309524x18819898.

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Atmospheric and wake turbulence have a great and immediate impact on the fatigue life of wind turbine blades. Generally speaking, wake-induced fatigue accounts for 5%–15% increase of fatigue load on the wind turbine rotor, which definitely threats the safety and economy of the whole wind farm. However, this effect is difficult to simulate which involves multi-wake interaction and fluid structure interaction. To better simulate the wake-induced fatigue on wind turbine blades, a novel elastic actuator line model is employed in this study. The elastic actuator line is a two-way coupling model, consisting of traditional actuator line model and one-dimensional implicit or explicit finite difference method beam structural model, among which the beam model takes gravitational force, aerodynamic force and centrifugal force into consideration. Large eddy simulation method in the NREL SOWFA code is employed to model the turbulence effect, including wake-induced turbulence and atmospheric turbulence. For the fatigue analysis part, the fatigue life of an NREL 5MW turbine blade subjected to upstream wind turbine wake effects is studied using the elastic actuator line model and laminate data available from Sandia Laboratory in the United States. First, the strain and stress on different composite materials, such as uniaxial carbon fibre and biaxial composite material, are recovered by using the sectional force and moment obtained with the one-dimensional beam model and two-dimensional finite element method model, namely BECAS. Second, the stress-life method, rain-flow counting method, shifted Goodman diagram (constant life diagram) and Miners rule are employed to estimate the fatigue life for different composite materials. Noticeably, elastic actuator line largely reduces the computational efforts compared with a high-resolution computational fluid dynamics model, in which each wind turbine blade is fully resolved. Both the characteristics of different composite materials and airfoil geometries will be considered during fatigue analysis. As a result, the above procedure makes the fatigue life estimation more reliable and feasible. In the case studies, the moment time series predicted by elastic actuator line and FAST are compared. The fatigue damage of NREL 5MW wind turbine under turbulent neutral atmospheric boundary layer is calculated, and the fatigue critical section is determined to be at 10.25 m section from root. Finally, in the study of two in-line turbines, the fatigue damage increase by wake flow is 16%, which is close to the results from previous studies.

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5

Lin, Yuansheng, Yuqi Wang, and Yonghui Xie. "Steady-state stress analysis in a supercritical CO2 radial-inflow impeller using fluid solid interaction." Thermal Science 21, suppl. 1 (2017): 251–58. http://dx.doi.org/10.2298/tsci17s1251l.

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According to the geometry and the state parameters, a single channel model of a supercritical CO2 radial-inflow turbine is established. The finite volume method, the finite element method, and the shear stress transport turbulence model are used for solid-fluid interaction. In 3-D finite element analysis, the results of flow analysis and thermal analysis are adopted to obtain the stress distribution of the impeller in working condition. The results show that the maximum equivalent stress of the impeller is 550 MPa, which is located at the blade root of trailing edge and lower than the yield limit. Meanwhile, the centrifugal load increases the stress level on the inside back end surface and the surface of the blade root. The aerodynamic load causes obvious stress concentration at the blade root of the trailing edge and increases the stress level in the downstream position of the impeller. The thermal load increases the stress level on the outside edge of the back-end surface and the surface near the blade root of the leading edge.

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6

Choi, Woen-Sug, Suk-Yoon Hong, Hyun-Wung Kwon, Jeong-Hwa Seo, Shin-Hyung Rhee, and Jee-Hun Song. "Estimation of turbulent boundary layer induced noise using energy flow analysis for ship hull designs." Proceedings of the Institution of Mechanical Engineers, Part M: Journal of Engineering for the Maritime Environment 234, no. 1 (June 4, 2019): 196–208. http://dx.doi.org/10.1177/1475090219852195.

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A turbulent boundary layer develops on the surface of submerged bodies in motion; these layers consist of complex flows and interact with the structure causing turbulent boundary layer induced noise due to fluid-structure interaction. Recently, although the research on such noise has attracted great interest in the naval fields, owing to the focus on the competitive development of low-noise naval ships, the limitations corresponding to the application of methods developed in aeroacoustics for underwater structures having lower convection speed of turbulence and faster sound speed along with insufficient environments to conduct experiments restrained to subjects of simple structures at high frequency. To overcome the abovementioned limitations and study the noise characteristics for ship hull design, in this research, methods to analyze the noise radiated due to turbulent flow on the complex underwater structure are developed using energy flow analysis methods for vibro-acoustic calculations. For estimation of the input hydrodynamic forces, wall pressure fluctuation spectrum on the surface is obtained from turbulent boundary layer properties to acquire sufficient resolutions. The vibrational response of the structure is calculated using energy flow analysis incorporating the finite element method for structural forces estimated as input power. The acoustical response coupled with the vibrational response is obtained using the calculated vibrational energy density with the boundary element method in combination with the energy flow analysis, taking advantages of the fact that the methods share the common energy variables. Developed methods are validated with a case of broadband noise radiated from a plate. Using the procedures, numerical estimation and analysis of acoustic performance are performed for trimaran ship hull designs with steady-state computational fluid dynamics to demonstrate the method’s usability as an assessment tool in the early design stage.

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7

ZHANG, L. X., and Y. GUO. "SIMULATION OF TURBULENT FLOW IN A COMPLEX PASSAGE WITH A VIBRATING STRUCTURE BY FINITE ELEMENT FORMULATIONS." Modern Physics Letters B 23, no. 03 (January 30, 2009): 257–60. http://dx.doi.org/10.1142/s021798490901814x.

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A modeling of the turbulent flow in a complex passage with dynamical fluid-structure interaction (FSI) is established on the generalized variational principle. A monolithic coupling method on the finite element formulations (FEM) is used to realize numerical computation of the flow with dynamical FSI. The comparisons with LES show that the results on the FEM formulations suggested in this paper are favorable, and the computing effort is economical.

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Castro, Juan Cruz, Yunuén López Grijalba, Luis Héctor Hernández Gómez, Israel Abraham Alarcón Sánchez, Pablo Ruiz López, and Juan Alfonso Beltrán Fernández. "Fluid-Structural Interaction in a Slip Joint of a Jet Pump Assembly of a BWR-5." Defect and Diffusion Forum 399 (February 2020): 105–14. http://dx.doi.org/10.4028/www.scientific.net/ddf.399.105.

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Flow-induced vibrations occur in some of the internal components of a nuclear reactor. When specific conditions are present, these vibrations may result in excessive deformations or fatigue that can generate mechanical damage. Several boiling water reactor (BWR) of nuclear power plants (NPP) have experienced failures in the jet pump assembly due to flow-induced vibration (FIV) which could be caused by acoustic pulsations derived from recirculation pumps, vibration induced by turbulence and vibration induced by leakage at the slip joint. The purpose of this paper is to establish a viable numerical methodology to evaluate the fluid-structural interaction at the slip joint of a jet pump. In this analysis, the fluid-structural interaction was evaluated with the finite element method and finite volume method with ANSYS® code in the case of two steel plates with a divergent gap. Results show that a critical velocity could cause fluidelastic instability, if only one flow in a two-way fluid-structural interaction was considered. This is one of the phenomena that could take place at the slip joint of a jet pump assembly.

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Lvov, Vladislav, and Leonid Chitalov. "Semi-Autogenous Wet Grinding Modeling with CFD-DEM." Minerals 11, no. 5 (May 1, 2021): 485. http://dx.doi.org/10.3390/min11050485.

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The paper highlights the features of constructing a model of a wet semi-autogenous grinding mill based on the discrete element method and computational fluid dynamics. The model was built using Rocky DEM (v. 4.4.2, ESSS, Brazil) and Ansys Fluent (v. 2020 R2, Ansys, Inc., United States) software. A list of assumptions and boundary conditions necessary for modeling the process of wet semi-autogenous grinding by the finite element method is presented. The created model makes it possible to determine the energy-coarseness ratios of the semi-autogenous grinding (SAG) process under given conditions. To create the model in Rocky DEM the following models were used: The Linear Spring Rolling Limit rolling model, the Hysteretic Linear Spring model of the normal interaction forces and the Linear Spring Coulomb Limit for tangential forces. When constructing multiphase in Ansys Fluent, the Euler model was used with the primary phase in the form of a pulp with a given viscosity and density, and secondary phases in the form of air, crushing bodies and ore particles. The resistance of the solid phase to air and water was described by the Schiller–Naumann model, and viscosity by the realizable k-epsilon model with a dispersed multiphase turbulence model. The results of the work methods for material interaction coefficients determination were developed. A method for calculating the efficiency of the semi-autogenous grinding process based on the results of numerical simulation by the discrete element method is proposed.

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10

Liao, Hua Lin. "Mechanism Analysis of Jet Drilling Rock by Numerical Simulation and Experiment." Advanced Materials Research 455-456 (January 2012): 400–405. http://dx.doi.org/10.4028/www.scientific.net/amr.455-456.400.

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Rock damage and breaking mechanism with water jet has been as yet a difficult problem due to jet high turbulence and complicacy of rock material. According to fluid-structure interaction (FSI) theory, the standard k-epsilon two equations and control volume method for water jet, and the elastic orthotropic continuum and finite element method for rocks, are employed respectively to establish a numerical analyzing model of high pressure water jet impinging on rock. A damage criterion, with non-dimensional coefficient to characterize rock damage, is also set up for analyzing rock failure mechanism with water jet. The process of jet impact on the rock is simulated, by using the FSI model, Micro failure mechanism test and analysis with scanning electron microscope (SEM) for rock failure surface by jets cutting were performed, whose results show that the micro-mechanism of rock failure due to water jet impingement is a brittle fracture in the condition of tensile and shearing stress. The test results also agree well with the numerical simulating analysis, which constructs a bridge between the micro-failure and macro-breaking mechanism of rock with water jets impact. The investigation affords a new method for studying the mechanism of rock failure underhigh pressure water jet impingement.

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11

Zhang, Jing, Qin Wu, Hanzhe Zhang, Xingan Zhao, and Guoyu Wang. "Numerical investigation on cavitation instability and flow-induced vibration of liquid rocket engine inducer." Modern Physics Letters B 34, no. 15 (March 30, 2020): 2050165. http://dx.doi.org/10.1142/s0217984920501651.

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The objective of this paper is to numerically investigate the unsteady cavitating flow around a four-blade inducer, with focus on the cavitation instability and the flow-induced vibration characteristics. In the numerical simulation, the modified rotation/curvature correction turbulence model and the Zwart cavitation model are used for the simulation of the flow field. The tightly coupled algorithm is adopted for the precise prediction of the fluid-structure interaction, including the calculation of the hydrodynamic loads based on the multiphase fluid dynamics and the computation of the structural displacement via the Finite Element Method (FEM). The results showed that good agreement has been obtained between the experimental and numerical results. The fluctuation of cavity volume is the main cause of the change in the head of the inducer, and the backflow vortex cavitation has little effect on that at this flow condition. The backflow vortex cavity develops and rotates with the blades of the inducer, but with a much lower rotational velocity than that of the blades. The flow-induced vibration of the inducer caused by the unsteady cavitating flow mainly manifests as a first-order bending mode. The backflow vortex cavitation has a significant impact on the vibration of both the blades and the guide-water cone. Besides, a cavitation auto-oscillation at the inlet of the inducer has also been detected based on the phase correlation analysis.

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12

Sbardella, L., and M. Imregun. "Linearized Unsteady Viscous Turbomachinery Flows Using Hybrid Grids." Journal of Turbomachinery 123, no. 3 (February 1, 2001): 568–82. http://dx.doi.org/10.1115/1.1371777.

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The paper describes the theory and the numerical implementation of a three-dimensional finite volume scheme for the solution of the linearized, unsteady Favre-averaged Navier–Stokes equations for turbomachinery applications. A further feature is the use of mixed element grids, consisting of triangles and quadrilaterals in two dimensions, and of tetrahedra, triangular prisms, and hexahedra in three dimensions. The linearized unsteady viscous flow equations are derived by assuming small harmonic perturbations from a steady-state flow and the resulting equations are solved using a pseudo-time marching technique. Such an approach enables the same numerical algorithm to be used for both the nonlinear steady and the linearized unsteady flow computations. The important features of the work are the discretization of the flow domain via a single, unified edge-data structure for mixed element meshes, the use of a Laplacian operator, which results in a nearest neighbor stencil, and the full linearization of the Spalart–Allmaras turbulence model. Four different test cases are presented for the validation of the proposed method. The first one is a comparison against the classical subsonic flat plate cascade theory, the so-called LINSUB benchmark. The aim of the second test case is to check the computational results against the asymptotic analytical solution derived by Lighthill for an unsteady laminar flow. The third test case examines the implications of using inviscid, frozen-turbulence, and fully turbulent models when linearizing the unsteady flow over a transonic turbine blade, the so-called 11th International Standard Configuration. The final test case is a rotor/stator interaction, which not only checks the validity of the formulation for a three-dimensional example, but also highlights other issues, such as the need to linearize the wall functions. Detailed comparisons were carried out against measured steady and unsteady flow data for the last two cases and good overall agreement was obtained.

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13

Fan, S. C., S. M. Li, and G. Y. Yu. "Dynamic Fluid-Structure Interaction Analysis Using Boundary Finite Element Method–Finite Element Method." Journal of Applied Mechanics 72, no. 4 (August 20, 2004): 591–98. http://dx.doi.org/10.1115/1.1940664.

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In this paper, the boundary finite element method (BFEM) is applied to dynamic fluid-structure interaction problems. The BFEM is employed to model the infinite fluid medium, while the structure is modeled by the finite element method (FEM). The relationship between the fluid pressure and the fluid velocity corresponding to the scattered wave is derived from the acoustic modeling. The BFEM is suitable for both finite and infinite domains, and it has advantages over other numerical methods. The resulting system of equations is symmetric and has no singularity problems. Two numerical examples are presented to validate the accuracy and efficiency of BFEM-FEM coupling for fluid-structure interaction problems.

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14

Zhao, Rui-Jie, You-Long Zhao, De-Sheng Zhang, Yan Li, and Lin-Lin Geng. "Numerical Investigation of the Characteristics of Erosion in a Centrifugal Pump for Transporting Dilute Particle-Laden Flows." Journal of Marine Science and Engineering 9, no. 9 (September 3, 2021): 961. http://dx.doi.org/10.3390/jmse9090961.

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Erosion in centrifugal pumps for transporting flows with dilute particles is a main pump failure problem in many engineering processes. A numerical model combining the computational fluid dynamics (CFD) and Discrete Element Method (DEM) is applied to simulate erosion in a centrifugal pump. Different models of the liquid-solid inter-phase forces are implemented, and the particle-turbulence interaction is also defined. The inertial particles considered in this work are monodisperse and have finite size. The numerical results are validated by comparing the results with a series of experimental data. Then, the effects of particle volume fraction, size, and shape on the pump erosion are estimated in the simulations. The results demonstrate that severe erosive areas are located near the inlet and outlet of the pressure side of the impeller blade, the middle region of the blade, the corners of the shroud and hub of the impeller adjoining to the pressure side of the blade, and the volute near the pump tongue. Among these locations, the maximum erosion occurs near the inlet of the pressure side of the blade. Erosion mitigation occurs under the situation where more particles accumulate in the near-wall region of the eroded surface, forming a buffering layer. The relationship between the particle size and the erosion is nonlinear, and the 1 mm particle causes the maximum pump erosion. The sharp particles cause more severe erosion in the pump because both the frequency of particle-wall collisions and the impact angle increase with the increasing sharpness of the particle.

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15

Idelsohn, S. R., E. Oñate, F. Del Pin, and Nestor Calvo. "Fluid–structure interaction using the particle finite element method." Computer Methods in Applied Mechanics and Engineering 195, no. 17-18 (March 2006): 2100–2123. http://dx.doi.org/10.1016/j.cma.2005.02.026.

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16

Xing, J. T., W. G. Price, and Y. G. Chen. "A mixed finite–element finite–difference method for nonlinear fluid–structure interaction dynamics. I. Fluid–rigid structure interaction." Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences 459, no. 2038 (October 8, 2003): 2399–430. http://dx.doi.org/10.1098/rspa.2002.1110.

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17

Mitra, S., and K. P. Sinhamahapatra. "2D simulation of fluid-structure interaction using finite element method." Finite Elements in Analysis and Design 45, no. 1 (December 2008): 52–59. http://dx.doi.org/10.1016/j.finel.2008.07.006.

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18

Swim, E. W., and P. Seshaiyer. "A nonconforming finite element method for fluid–structure interaction problems." Computer Methods in Applied Mechanics and Engineering 195, no. 17-18 (March 2006): 2088–99. http://dx.doi.org/10.1016/j.cma.2005.01.017.

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19

van Opstal, T. M., E. H. van Brummelen, R. de Borst, and M. R. Lewis. "A finite-element/boundary-element method for large-displacement fluid-structure interaction." Computational Mechanics 50, no. 6 (September 18, 2012): 779–88. http://dx.doi.org/10.1007/s00466-012-0794-7.

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OÑATE, E., S. R. IDELSOHN, F. DEL PIN, and R. AUBRY. "THE PARTICLE FINITE ELEMENT METHOD — AN OVERVIEW." International Journal of Computational Methods 01, no. 02 (September 2004): 267–307. http://dx.doi.org/10.1142/s0219876204000204.

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We present a general formulation for the analysis of fluid-structure interaction problems using the particle finite element method (PFEM). The key feature of the PFEM is the use of a Lagrangian description to model the motion of nodes (particles) in both the fluid and the structure domains. Nodes are thus viewed as particles which can freely move and even separate from the main analysis domain representing, for instance, the effect of water drops. A mesh connects the nodes defining the discretized domain where the governing equations, expressed in an integral form, are solved as in the standard FEM. The necessary stabilization for dealing with the incompressibility condition in the fluid is introduced via the finite calculus (FIC) method. A fractional step scheme for the transient coupled fluid-structure solution is described. Examples of application of the PFEM method to solve a number of fluid-structure interaction problems involving large motions of the free surface and splashing of waves are presented.

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21

ZHANG, ZHI-QIAN, JIANYAO YAO, and G. R. LIU. "AN IMMERSED SMOOTHED FINITE ELEMENT METHOD FOR FLUID–STRUCTURE INTERACTION PROBLEMS." International Journal of Computational Methods 08, no. 04 (November 20, 2011): 747–57. http://dx.doi.org/10.1142/s0219876211002794.

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A novel procedure, immersed smoothed finite element method (immersed S-FEM) is proposed for solving fluid–structure interaction (FSI) problems with moving nonlinear solids, using triangular type of mesh. The method consists of well-combined three ingredients: two-step Taylor-characteristic-based-Galerkin (TCBG) method for incompressible viscous Navier–Stokes flows, the S-FEM for explicit dynamics analysis of nonlinear solids and structures, and FSI conditions using immersed technique with a modified direct force evaluation technique. Such a combination is designed for ensuring stability, best possible efficiency, and simplicity and convenient to use. The proposed method is verified by numerical examples using triangular meshes, which demonstrate the validity, accuracy, and the second-order convergence properties of the present method in both space and time.

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Mariem, J. Ben, and M. A. Hamdi. "A new boundary finite element method for fluid-structure interaction problems." International Journal for Numerical Methods in Engineering 24, no. 7 (July 1987): 1251–67. http://dx.doi.org/10.1002/nme.1620240703.

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Teixeira, P. R. F., and A. M. Awruch. "Numerical simulation of fluid–structure interaction using the finite element method." Computers & Fluids 34, no. 2 (February 2005): 249–73. http://dx.doi.org/10.1016/j.compfluid.2004.03.006.

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Roy, Saswati, Luca Heltai, and Francesco Costanzo. "Benchmarking the immersed finite element method for fluid–structure interaction problems." Computers & Mathematics with Applications 69, no. 10 (May 2015): 1167–88. http://dx.doi.org/10.1016/j.camwa.2015.03.012.

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Brenner, Susanne C., Ayçıl Çeşmelioğlu, Jintao Cui, and Li-Yeng Sung. "A Nonconforming Finite Element Method for an Acoustic Fluid-Structure Interaction Problem." Computational Methods in Applied Mathematics 18, no. 3 (July 1, 2018): 383–406. http://dx.doi.org/10.1515/cmam-2017-0050.

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AbstractWe study a nonconforming finite element approximation of the vibration modes of an acoustic fluid-structure interaction. Displacement variables are used for both the fluid and the solid. The numerical scheme is based on an irrotational fluid displacement formulation and hence it is free of spurious eigenmodes. The method uses weakly continuous {P_{1}} vector fields for the fluid and classical piecewise linear elements for the solid, and it has {O(h^{2})} convergence for the eigenvalues on properly graded meshes. The theoretical results are confirmed by numerical experiments.

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van Opstal, T. M., E. H. van Brummelen, and G. J. van Zwieten. "A finite-element/boundary-element method for three-dimensional, large-displacement fluid–structure-interaction." Computer Methods in Applied Mechanics and Engineering 284 (February 2015): 637–63. http://dx.doi.org/10.1016/j.cma.2014.09.037.

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27

Huerta, A., and W. K. Liu. "Viscous Flow Structure Interaction." Journal of Pressure Vessel Technology 110, no. 1 (February 1, 1988): 15–21. http://dx.doi.org/10.1115/1.3265561.

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Considerable research activities in vibration and seismic analysis for various fluid-structure systems have been carried out in the past two decades. Most of the approaches are formulated within the framework of finite elements, and the majority of work deals with inviscid fluids. However, there has been little work done in the area of fluid-structure interaction problems accounting for flow separation and nonlinear phenomenon of steady streaming. In this paper, the Arbitrary Lagrangian Eulerian (ALE) finite element method is extended to address the flow separation and nonlinear phenomenon of steady streaming for arbitrarily shaped bodies undergoing large periodic motion in a viscous fluid. The results are designed to evaluate the fluid force acting on the body; thus, the coupled rigid body-viscous flow problem can be simplified to a standard structural problem using the concept of added mass and added damping. Formulas for these two constants are given for the particular case of a cylinder immersed in an infinite viscous fluid. The finite element modeling is based on a pressure-velocity mixed formulation and a streamline upwind Petrov/Galerkin technique. All computations are performed using a personal computer.

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Chen, Jie, Neng Xi, Jia Jun Yang, and Mei Ling Zhao. "Squeeze Oil-Film Fluid-Structure Interaction Analysis by the Finite Element Method." Applied Mechanics and Materials 401-403 (September 2013): 446–49. http://dx.doi.org/10.4028/www.scientific.net/amm.401-403.446.

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The squeeze oil-film dampers have been applied to damp out vibration in linear guideway systems of CNC machine tools. An accurate estimate of squeeze oil-film damping effects is significant to predict the dynamic performance of rolling guidance systems. This paper presents a finite element method to solve the fluid-structure interaction problem of squeeze oil-film dampers. Three-node Mindlin plate element is used in the structure domain model. The oil-film behavior is provided by the Reynolds equation of lubrication theory. Both the structural domain and fluid domains are discretized by finite element method. The frequency response functions of coupled systems are derived by considering the oil-film pressures and the structure displacements on the boundary as the coupling conditions. The validity of the frequency response functions is verified by a simple example. It shows that the oil-film thickness has significant influence on the frequency response.

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Choi, Hyoung-Gwon. "Preconditioning Method of a Finite Element Combined Formulation for Fluid-Structure Interaction." Transactions of the Korean Society of Mechanical Engineers B 33, no. 4 (April 1, 2009): 242–47. http://dx.doi.org/10.3795/ksme-b.2009.33.4.242.

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Idelsohn, S. R., E. Oñate, and F. Del Pin. "A Lagrangian meshless finite element method applied to fluid–structure interaction problems." Computers & Structures 81, no. 8-11 (May 2003): 655–71. http://dx.doi.org/10.1016/s0045-7949(02)00477-7.

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Zhu, Minjie, and Michael H. Scott. "Direct Differentiation of the Particle Finite-Element Method for Fluid–Structure Interaction." Journal of Structural Engineering 142, no. 3 (March 2016): 04015159. http://dx.doi.org/10.1061/(asce)st.1943-541x.0001426.

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32

XU, LIFU, XINSHENG HUANG, NA TA, ZHUSHI RAO, and JIABIN TIAN. "FINITE ELEMENT MODELING OF THE HUMAN COCHLEA USING FLUID–STRUCTURE INTERACTION METHOD." Journal of Mechanics in Medicine and Biology 15, no. 03 (June 2015): 1550039. http://dx.doi.org/10.1142/s0219519415500396.

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In this paper, a 3D finite element (FE) model of human cochlea is developed. This passive model includes the structure of oval window, round window, basilar membrane (BM) and cochlear duct which is filled with fluid. Orthotropic material property of the BM is varying along its length. The fluid–structure interaction (FSI) method is used to compute the responses in the cochlea. In particular, the viscous fluid element is adopted for the first time in the cochlear FE model, so that the effects of shear viscosity in the fluid are considered. Results on the cochlear impedance, BM response and intracochlear pressure are obtained. The intracochlear pressure includes the scala vestibule and scala tympani pressure are extracted and used to calculate the transfer functions from equivalent ear canal pressures to scala pressures. The reasonable agreements between the model results and the experimental data in the literature prove the validity of the cochlear model for simulating sound transmission in the cochlea. Moreover, this model predicted the transfer function from equivalent ear canal pressures to scala pressures which is the input to the cochlear partition.

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Zhang, Zhi-Qian, G. R. Liu, and Boo Cheong Khoo. "Immersed smoothed finite element method for two dimensional fluid-structure interaction problems." International Journal for Numerical Methods in Engineering 90, no. 10 (April 17, 2012): 1292–320. http://dx.doi.org/10.1002/nme.4299.

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Kock, Ellen, and Lorraine Olson. "Fluid-structure interaction analysis by the finite element method-a variational approach." International Journal for Numerical Methods in Engineering 31, no. 3 (March 5, 1991): 463–91. http://dx.doi.org/10.1002/nme.1620310305.

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Bean, Maranda, and Son-Young Yi. "A monolithic mixed finite element method for a fluid-structure interaction problem." Applied Mathematics and Computation 363 (December 2019): 124615. http://dx.doi.org/10.1016/j.amc.2019.124615.

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Lee, Chen Jian Ken, Hirohisa Noguchi, and Seiichi Koshizuka. "Fluid–shell structure interaction analysis by coupled particle and finite element method." Computers & Structures 85, no. 11-14 (June 2007): 688–97. http://dx.doi.org/10.1016/j.compstruc.2007.01.019.

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Zhu, Minjie, and Michael H. Scott. "Modeling fluid–structure interaction by the particle finite element method in OpenSees." Computers & Structures 132 (February 2014): 12–21. http://dx.doi.org/10.1016/j.compstruc.2013.11.002.

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Sharma, Vandana, S. L. Shimi, Saleem Khan, and Sandeep Arya. "Design and Fluid Structure Interaction Analysis of a Micro-Channel as Fluid Sensor." Advanced Engineering Forum 14 (October 2015): 46–56. http://dx.doi.org/10.4028/www.scientific.net/aef.14.46.

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In this proposed work, the design and analysis of a flow sensor to be integrated into a micro-channel is presented. A finite element analysis is carried out to simulate fluid-structure interaction and estimate cantilever deflection under different fluidic flows at constant flow rate. The design of device is based on the determination of geometrical dimensions. A mathematical analysis describing the fluid mechanics and their interaction with the beam is also proposed. The mathematical model is done using finite-element analysis, and a complete formulation for design analysis is determined. Finite element method based Comsol Multiphysics simulations are used to optimize the design in order to determine the fluid velocities after interaction with the free end of the micro-cantilever beam. The device is successfully designed for sensing different fluids.

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HIROSE, Junichi, and Shigeru SASAKI. "703 Quasi : Interaction Simulation of Fluid : Structure by MPS Method and Finite Element Method." Proceedings of Yamanashi District Conference 2013 (2013): 188–89. http://dx.doi.org/10.1299/jsmeyamanashi.2013.188.

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Li, Zhe, Julien Leduc, Alain Combescure, and Francis Leboeuf. "Coupling of SPH-ALE method and finite element method for transient fluid–structure interaction." Computers & Fluids 103 (November 2014): 6–17. http://dx.doi.org/10.1016/j.compfluid.2014.06.028.

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Ariza-Gracia, Miguel Ángel, Wei Wu, Mauro Malve, Begoña Calvo, and José Félix Rodriguez Matas. "Fluid structure interaction of the non-contact tonometry test." Modeling and Artificial Intelligence in Ophthalmology 2, no. 2 (June 18, 2018): 75–79. http://dx.doi.org/10.35119/maio.v2i2.76.

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The study of corneal biomechanics has gained interest due to its applications on predicting refractive surgery outcomes and the study of a number of pathologies affecting the cornea. In this regard, non-contact tonometry (NCT) has become a popular diagnostic tool in ophthalmology and as an alternative method to characterize corneal biomechanics. Since identification of material parameters using NCT tests rely on the inverse finite element method, accurate and reliable simulations are required. In this work, we present a full fluid structure simulation of a NCT test accounting for the eff ect of the presence of the humors. The results indicate that when inertial effects are considered, not including humors may lead to overestimating corneal displacement, and therefore, to an overestimation of the actual corneal stiffness when using the inverse finite element method.

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TAN, V. B. C., and T. BELYTSCHKO. "BLENDED MESH METHODS FOR FLUID-STRUCTURE INTERACTION." International Journal of Computational Methods 01, no. 02 (September 2004): 387–406. http://dx.doi.org/10.1142/s0219876204000186.

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In many cases, it is advantageous to discretize a domain using several finite element meshes instead of a single mesh. For example, in fluid-structure interaction problems, an Eulerian mesh is advantageous for the fluid domain while a Lagrangian mesh is most suited for the structure. However, the interface conditions between different types of meshes often lead to significant errors. A method of treating different meshes by smoothly varying the description from Lagrangian to Eulerian in an interface or blending domain is presented. A Lagrangian mesh is used for the structure while two different types of mesh are used for the fluid. Arbitrary Lagrangian-Eulerian (ALE) meshes are used in the regions of the fluid-structure interfaces while Eulerian meshes are used for the remainder of the fluid domain. A blending function is used to couple the ALE and Eulerian meshes to ensure a smooth transition from one mesh to another. The method is tested on two fluid-structure problems — flow past a hinged plate, and fluid expansion in a closed container. Results are in good agreement with standard finite element and analytical solutions.

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van Opstal, T. M., and E. H. van Brummelen. "A finite-element/boundary-element method for large-displacement fluid–structure interaction with potential flow." Computer Methods in Applied Mechanics and Engineering 266 (November 2013): 57–69. http://dx.doi.org/10.1016/j.cma.2013.07.009.

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Gao, Yong Feng, Xiang Yan Zhang, and Ning Liu. "Application of Particle Finite Element Method in Axially Symmetric Fluid-Structure Interaction Problems." Applied Mechanics and Materials 423-426 (September 2013): 1737–40. http://dx.doi.org/10.4028/www.scientific.net/amm.423-426.1737.

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A method for the analysis of the axially symmetric fluid-structure interaction (FSI) problems which has free surfaces, based on the particle finite element method (PFEM), is proposed. To solve the incompressible axially symmetric N-S equations, a stabilized formulation based on the finite calculus procedure is used in the fractional step method. The FSI problem is performed with a staggered scheme. And a flexible boundary is used between the fixed boundary and the moving boundary so as to replace the friction. The reliability of the present method is demonstrated by the comparisons of the results from the classical method and the present results for the recoil absorber simulation. The present method can improve the efficiency and veracity in the design of machines which have free surfaces.

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Massing, André, Mats Larson, Anders Logg, and Marie Rognes. "A Nitsche-based cut finite element method for a fluid-structure interaction problem." Communications in Applied Mathematics and Computational Science 10, no. 2 (September 4, 2015): 97–120. http://dx.doi.org/10.2140/camcos.2015.10.97.

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MATSUMOTO, Junichi, Takeshi SUZUKI, and Akira TEZUKA. "Thermal-Fluid Structure Strong Interaction Analysis Using Stabilized Bubble Function Finite Element Method." Proceedings of the JSME annual meeting 2003.1 (2003): 45–46. http://dx.doi.org/10.1299/jsmemecjo.2003.1.0_45.

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Oñate, Eugenio, Miguel Angel Celigueta, Sergio R. Idelsohn, Fernando Salazar, and Benjamín Suárez. "Possibilities of the particle finite element method for fluid–soil–structure interaction problems." Computational Mechanics 48, no. 3 (July 8, 2011): 307–18. http://dx.doi.org/10.1007/s00466-011-0617-2.

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48

Yao, Jianyao, G. R. Liu, Daria A. Narmoneva, Robert B. Hinton, and Zhi-Qian Zhang. "Immersed smoothed finite element method for fluid–structure interaction simulation of aortic valves." Computational Mechanics 50, no. 6 (September 4, 2012): 789–804. http://dx.doi.org/10.1007/s00466-012-0781-z.

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49

Gerstenberger, Axel, and Wolfgang A. Wall. "An eXtended Finite Element Method/Lagrange multiplier based approach for fluid–structure interaction." Computer Methods in Applied Mechanics and Engineering 197, no. 19-20 (March 2008): 1699–714. http://dx.doi.org/10.1016/j.cma.2007.07.002.

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50

Hwang, I. T., and K. Ting. "Boundary Element Method for Fluid-Structure Interaction Problems in Liquid Storage Tanks." Journal of Pressure Vessel Technology 111, no. 4 (November 1, 1989): 435–40. http://dx.doi.org/10.1115/1.3265701.

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The dynamic response of liquid storage tank, including the hydrodynamic interactions, subjected to earthquake excitations is studied by the combinations of boundary element method and finite element procedure in this paper. The tank wall and inviscid fluid domain are treated as two substructures of the total system-coupled through the hydrodynamic pressures. The boundary element method is employed to determine the hydrodynamic pressures associated with small amplitude excitations and negligible surface wave effects in fluid domain which are expressed as the frequency-dependent terms related with the natural vibration modes of elastic tank alone. These terms are incorporated into the finite element formulation of elastic tank in frequency domain and the generalized displacements are computed by synthesizing their complex frequency response using Fast-Fourier Transform procedure. Thus, the hydrodynamic interactions between the elastic flexible tank wall and the fluid are then solved. To demonstrate the accuracy and validity of the solution procedure developed herein, numerical examples are analyzed. Good correlations between the computed results with the referenced solutions in literature can be noted. The effects of fluid compressibility and tank flexibility are also evaluated in this work. Finally, the dynamic response of liquid storage tank due to seismic excitations is also analyzed.

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