Theoretical analysis of nonlinear fluid–structure interaction between large-scale polymer offshore floating photovoltaics and waves

Xu, Pengpeng; Wellens, Peter

doi:10.1016/j.oceaneng.2022.110829

Cited by 18 publications

(6 citation statements)

References 38 publications

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“…The lattice Boltzmann method (LBM) [23], SPH methods [24], ALE formulation [27], and high-order partitioned FSI framework [28] also shown their efficiencies on FSI calculations. Therefore, most of study is mainly related to linear elastic solids [29]. Therefore, the dynamic behavior of a solid capacitor under the influence of motion caused by an environment in three-dimensional space is studied based on linear analysis in the time domain [30].…”

Section: Introductionmentioning

confidence: 99%

“…Although the results of numerical studies were compared with the results of the laboratory model and validated but they have limited applications [31]. In some applications nonlinearity of the solid comes from its internal mechanisms [25] or over coupling by fluid motion [26,29,30]. A particle-spring approach is usually used for structural dynamics [1,32].…”

Section: Introductionmentioning

confidence: 99%

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Coupling of a Nonlinear Structure with Sloshing

Jamalabadi

2023

Mathematical Problems in Engineering

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In this paper the role of solid nonlinearity on the fluid–structure interaction (FSI) is studied. First a simple mass-spring-damper system with a third-degree spring is coupled with a linear sloshing system to study the effect of solid nonlinearity. It shows that even both systems show similar behavior in free vibration tests, but nonlinearity caused 50% less on the amplitude of vibration. Then a higher order solid system coupled with a sloshing tuned liquid damper which is modeled by boundary element method (BEM) is examined. Finally, the coupling of a nonlinear solid with the sloshing system calculated at high-resolution method of smoothed particle is analyzed. The results reveal that considering surface nonlinearity in BEM has not improved the prediction significantly and the full NavierStokes calculations is in another phase and amplitude to a step response of the system even after two periods of the system in comparison with linear estimation. As shown the nonlinearity in solid part can cause a big difference in response of coupled system that pointed the necessity of the use of accurate fluid models such as BEM or smoothed particle hydrodynamics method as well as solid system identification before the coupling.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Coupling of a Nonlinear Structure with Sloshing

Jamalabadi

2023

Mathematical Problems in Engineering

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“…Rapid assessment was shown to capture much of the physical behaviour of wave interaction with a non-moving wall in Bos et al [2]. While Xu and Wellens [14,15] introduced rapid assessment methods for flexible floating structures that need to be large compared to the wave lenghth, we aim to develop a method for floating rigid structures of any shape without a restriction in size. Boundary element methods have an order fewer unknowns compared to field methods (Computational Fluid Dynamics, CFD), making them attractive in terms of computational cost.…”

Section: Introductionmentioning

confidence: 99%

A two-dimensional boundary element method with generating absorbing boundary condition for floating bodies of arbitrary shape in the frequency domain

Gabriel

Wellens

2022

ISP

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A two-dimensional (2D) boundary element method is developed for the rapid assessment of the hydrodynamic performance of floating structures in waves. The boundary element method is based on potential flow and has panels along all boundaries of the fluid domain – not only along the boundary of the floater – to make the extension to second order feasible. Panels along all boundaries requires the development of generating absorbing boundary conditions for use at radiation boundaries to send incident waves into the domain while absorbing waves originating from the floating body at the same boundary, at the same time. The model is verified by means of conservation of energy of a heaving wave energy converter, and by means of the propagation of second-order waves. The performance in terms of conservation of energy with 12 panels per wave length is good, the generating absorbing boundary condition works according to expectation and the second-order wave propagation corresponds to theory.

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“…However, experimental studies are limited in terms of structural size and wave conditions. Other studies are based on analytical or semi‐analytical approaches, see References 15‐19, where the fundamental behavior of floating elastic structures is assessed, assuming infinite or finite floating platforms with regular shapes. Again, analytical approaches are limited to the study of VLFS with regular shapes, for example, rectangular or circular platforms.…”

Section: Introductionmentioning

confidence: 99%

A monolithic finite element formulation for the hydroelastic analysis of very large floating structures

Colomés

Verdugo

Akkerman

2022

Numerical Meth Engineering

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In this work we present a novel monolithic Finite Element method for the hydroelastic analysis of very large floating structures (VLFS) with arbitrary shapes that is stable, energy conserving, and overcomes the need of an iterative algorithm. The new formulation enables a fully monolithic solution of the linear free-surface flow, described by linear potential flow, coupled with floating thin structures, described by the Euler-Bernoulli beam or Poisson-Kirchhoff plate equations. The formulation presented in this work is general in the sense that solutions can be found in the frequency and time domains, it overcomes the need of using elements with C 1 continuity by employing a continuous/discontinuous Galerkin approach, and it is suitable for finite elements of arbitrary order. We show that the proposed approach can accurately describe the hydroelastic phenomena of VLFS with a variety of tests, including structures with elastic joints, variable bathymetry, and arbitrary structural shapes.

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Theoretical analysis of nonlinear fluid–structure interaction between large-scale polymer offshore floating photovoltaics and waves

Cited by 18 publications

References 38 publications

Coupling of a Nonlinear Structure with Sloshing

Coupling of a Nonlinear Structure with Sloshing

A two-dimensional boundary element method with generating absorbing boundary condition for floating bodies of arbitrary shape in the frequency domain

A monolithic finite element formulation for the hydroelastic analysis of very large floating structures

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