Dynamic analysis of a tube bundle with fluid–structure interaction modelling using a homogenisation method

Sigrist, Jean‐François; Broc, Daniel

doi:10.1016/j.cma.2007.10.010

Cited by 18 publications

(7 citation statements)

References 22 publications

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“…The extrapolation of the dynamical response using a sparse representation constructed with a few elastic modes has also been proposed in [16]. In the low-frequency (LF) band, for slender structures exhibiting a high modal density, simplified equivalent models have been proposed in [17,18] and homogenization has been suggested in [19]. Though, using these approaches, the simplification of the model is not automatic and generally requires an expertise and a validation.…”

Section: Introductionmentioning

confidence: 99%

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

et al. 2022

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This work is devoted to the vibroacoustics of complex systems over a broad-frequency band of analysis. The considered system is composed of a complex structure coupled with an internal acoustic cavity. On one hand, the global displacements are associated with the main stiff part and on the other hand, the local displacements are associated with the preponderant vibrations of the flexible subparts. Such complex structures induce interweaving of these two types of displacements, which introduce an overlap of the usual three frequency bands (low-, medium-and high-frequency bands (LF, MF, and HF). A reduced-order computational vibroacoustic model is constructed by using a classical modal analysis with the elastic and acoustic modes. Nevertheless, the dimension of such reduced-order model (ROM) is still important when there is an overlap for each one of the three frequency bands. A multi-frequency reduced-order model is then constructed for the structure over the LF, MF, and HF bands. The strategy is based on a multilevel projection consisting in introducing three reduced-order bases that are obtained by using a spatial filtering methodology. To filter out the local displacements in the structure, a set of global shape functions is introduced. In addition, a classical ROM using acoustic modes is carried out for the acoustic cavity. Then, the coupling between the multilevel ROM and the acoustic ROM is presented. A nonparametric probabilistic modeling is then proposed to take into account the model uncertainties induced by modeling errors that increase with the frequency. The proposed approach is applied to a large-scale computational vibroacoustic model of a car.

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Section: Introductionmentioning

confidence: 99%

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

et al. 2022

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“…A detailed microscopicscale representation of interstitial flow patterns may be computationally unreachable for size purposes. Therefore an alternative consists in describing each cylinder dynamic behaviour from a global point of view by "forgetting" phenomena occurring below the scale of interest [3,6,20,24] . In the present work, one considers a multi-phase fluid-solid system made of a periodic arrangement of cylinders submitted to a single-phase viscous unsteady fluid flow inducing external load and vibration.…”

Section: Introductionmentioning

confidence: 99%

Macroscopic model of fluid structure interaction in cylinder arrangement using theory of mixture

Gineau

Longatte²,

Lucor

et al. 2020

Computers & Fluids

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In the framework of the theory of mixture, the dynamic behaviour of solid cylinder bundles submitted to external hydrodynamic load exerted by surrounding viscous fluid flow is described. Mass conservation and momentum balance formulated on an elementary domain made of a given volume of mixture give rise to a system of coupled equations governing solid space-averaged displacement, fluid velocity and pressure provided that near-wall hydrodynamic load on each vibrating cylinder is expressed as a function of both fluid and solid space-averaged velocity fields.Then, the ability of the macroscopic model to reproduce over time an averaged flow surrounding vibrating cylinders in a large array in the context of small magnitude displacements is pointed out. Numerical solutions obtained on a two-dimensional configuration involving an array of several hundreds of cylinders subjected to an impulsional load are compared to those provided by averaged well-resolved microscopic-scale solutions. The relative error is less than 3% in terms of displacement magnitude and 5% for frequency delay.The proposed macroscopic model does not include any assumption on relative effect contributions to mechanical exchanges occurring in the full domain. Therefore it features interesting properties in terms of fluid solid interaction prediction capabilities. Moreover it contributes to a significant gain in terms of computational time and resources. Further developments are now required in order to extent the formulation to large magnitude displacements including three-dimensional effects. This could be recommended for investigations on fuel assembly vibration risk assessment in Pressure Water, Fast Breeder reactors at a whole core scale or any other large-scale mechanical system involving some kind of periodic geometry.

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“…Heat transfer and fluid flow analysis over tube banks is of great importance in various design applications such as cooling towers [1], boilers [2], various heat exchangers [3][4][5], chemical filtration [6], and nuclear reactors [7]. Heat exchanger design depends on such parameters as the number of pipes of various lengths and diameters, geometric dimensions, arrangement of tubes, and fluids that carry heat [8,9].…”

Section: Introductionmentioning

confidence: 99%

A Hybrid Finite-Element/Finite-Difference Scheme for Solving the 3-D Energy Equation in Transient Nonisothermal Fluid Flow over a Staggered Tube Bank

Alavi

Safaei

Mahian

et al. 2015

Numerical Heat Transfer, Part B: Fundamentals

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This article presents a hybrid finite-element=finite-difference approach. The approach solves the 3-D unsteady energy equation in nonisothermal fluid flow over a staggered tube bank with five tubes in the flow direction. The investigation used Reynolds numbers of 100 and 300, Prandtl number of 0.7, and pitch-to-diameter ratio of 1.5. An equilateral triangle (ET) tube pattern is considered for the staggered tube bank. The proposed hybrid method employs a 2-D Taylor-Galerkin finite-element method, and the energy equation perpendicular to the tube axis is discretized. On the other hand, the finitedifference technique discretizes the derivatives toward the tube axis. Weighting the 3-D, transient, convection-diffusion equation for a cube verifies the numerical results. The L 2 norm of the error between numerical and exact solutions is also presented for three different hybrid meshes. A grid independence study for the energy equation preceded the final mesh. The outcome is found to be in acceptable concurrence with those from the previous studies. After the temperature field is attained, the local Nusselt number is computed for the tubes in the bundle at different times. The isotherms are also obtained at different times until a steady-state solution is reached. The numerical results converge to the exact results through refining the mesh. The implemented hybrid scheme requires less computation time compared with the conventional 3-D finite-element method, requiring less program coding.

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Dynamic analysis of a tube bundle with fluid–structure interaction modelling using a homogenisation method

Cited by 18 publications

References 22 publications

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

Multi-frequency model reduction for uncertainty quantification in computational vibroacoutics

Macroscopic model of fluid structure interaction in cylinder arrangement using theory of mixture

A Hybrid Finite-Element/Finite-Difference Scheme for Solving the 3-D Energy Equation in Transient Nonisothermal Fluid Flow over a Staggered Tube Bank

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