Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

Zamora, Esteban; Battaglia, Laura; Storti, Mario A.; Cruchaga, Marcela; Ortega, Roberto A.

doi:10.1063/1.5098999

Cited by 9 publications

(3 citation statements)

References 53 publications

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“…To mathematically model fluid-structure problems, the fluid and solid governing equations must be coupled. Staggered schemes for coupling fluid and solid fields (Hu et al, 2001;Storti et al, 2012;Zamora et al, 2019) are an alternative methodology to monolithic or unified schemes (Hron and Turek, 2006;Idelsohn et al, 2008;Robinson-Mosher et al, 2011), which solve both fields simultaneously but present a higher computational cost. In a Buoy interacting with waves staggered context, the fluid and solid equations are solved independently, and coupling is achieved by exchanging variables at the end of each time-step analysis or at each iteration within the loop used to solve the nonlinear equations inside each time step.…”

Section: Introductionmentioning

confidence: 99%

A numerical and experimental study of a buoy interacting with waves

Núñez Aedo,

Cruchaga,

Storti

2023

HFF

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Purpose This paper aims to report the study of a fluid buoy system that includes wave effects, with particular emphasis on validating the numerical results with experimental data. Design/methodology/approach A fluid–solid coupled algorithm is proposed to describe the motion of a rigid buoy under the effects of waves. The Navier–Stokes equations are solved with the open-source finite volume package Code Saturne, in which a free-surface capture technique and equations of motion for the solid are implemented. An ad hoc experiment on a laboratory scale is built. A buoy is placed into a tank partially filled with water; the tank is mounted into a shake table and subjected to controlled motion that promotes waves. The experiment allows for recording the evolution of the free surface at the control points using the ultrasonic sensors and the movement of the buoy by tracking the markers by postprocessing the recorded videos. The numerical results are validated by comparison with the experimental data. Findings The implemented free-surface technique, developed within the framework of the finite-volume method, is validated. The best-obtained agreement is for small amplitudes compatible with the waves evolving under deep-water conditions. Second, the algorithm proposed to describe rigid-body motion, including wave analysis, is validated. The numerical body motion and wave pattern satisfactorily matched the experimental data. The complete 3D proposed model can realistically describe buoy motions under the effects of stationary waves. Originality/value The novel aspects of this study encompass the implementation of a fluid–structure interaction strategy to describe rigid-body motion, including wave effects in a finite-volume context, and the reported free-surface and buoy position measurements from experiments. To the best of the authors’ knowledge, the numerical strategy, the validation of the computed results and the experimental data are all original contributions of this work.

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Section: Introductionmentioning

confidence: 99%

A numerical and experimental study of a buoy interacting with waves

Núñez Aedo,

Cruchaga,

Storti

2023

HFF

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“…The experimental works in the 1960s and 1970s were at the origin of the phenomenon characterization, its understanding and the derivation of some analytical solutions (Ibrahim, 2005). More recently, new experimental study has been carried out by Zamora et al (2019). This shows the significant interest that researchers still have in investigating this phenomenon and its underlying physics.…”

Section: Introductionmentioning

confidence: 99%

Numerical modeling of liquid sloshing in flexible tank with FSI approach

Khouf

Benaouicha

Seghir

et al. 2021

WJE

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Purpose The paper aims to present a numerical modeling procedure for the analysis of liquid sloshing in a flexible tank subjected to an external excitation, with taking into account the effects of fluid–structure interaction (FSI). Design/methodology/approach A numerical model based on coupling a two-phase flow solver and an elastic solid solver is developed in OpenFOAM code. The Arbitrary Lagrangian–Eulerian formulation is adopted for the two-phase Navier–Stokes equations in a moving domain. The volume of fluid (VOF) method is applied for the air–liquid interface tracking. The finite volume method is used for the spatial discretization of both the fluid and the structure dynamics equations. The FSI coupling problem is solved by an explicit coupling scheme. The model is validated for linear and nonlinear sloshing cases. Then, it is used to analyze the effects of the liquid sloshing on the dynamic response of the tank and the effects of the tank flexibility on the liquid sloshing. Findings The obtained results show that the flexibility of the tank walls amplifies the amplitude of the sloshing and increases the fluctuation period of the air–liquid interface. Furthermore, it is found that the bending moment acting on the tank walls may be underestimated when rigid walls assumption is adopted as usually done in sloshing tank modeling. Also, tank walls flexibility causes a phase shift in the free surface dynamic response. Originality/value A review of previous studies on liquid sloshing in flexible tanks revealed that FSI effects have not been clearly and comprehensively analyzed for large-amplitude liquid sloshing. Many physical and numerical aspects of this problem still require clarifications and enhancements. The added value of the present work and its originality lie in the investigation of large-amplitude liquid sloshing in flexible tanks by using a staggered coupling approach. This approach is carried out by an original combination of a linear solid solver with a two phase fluid solver in OpenFOAM code. In addition, FSI effects on some response quantities, identified and analyzed herein, have not been found in the previous works.

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“…Fully nonlinear models, which satisfy exact boundary conditions, intrinsically allow for energy transfer between all modes, without a need to assume the ordering of each modal response. Examples are smoothed particle hydrodynamics (SPH) method 19,20 , the Navier-Stokes solvers [21][22][23][24] , the fully nonlinear potential-flow models based on FEM 25 , boundary element method 26 and the Harmonic Polynomial Cell (HPC) method that will be adopted in this study. The 3D fully nonlinear HPC model was originally proposed by Shao and Faltinsen 27 , and has been continuously developed in recent years [28][29][30][31][32][33] to study various problems in marine hydrodynamics.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear liquid sloshing in an upright circular container: Modal responses and higher-order harmonics

et al. 2022

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Nonlinear sloshing in an upright circular container (UCC) near the lowest natural frequency is analyzed by using a fully nonlinear overset-mesh-based Harmonic Polynomial Cell (HPC) method, two weakly nonlinear Narimanov-Moiseevtype multimodal models and a linear multimodal method. Modal responses are extracted from the fully nonlinear results based on a simple but accurate least-square procedure using the time series of free-surface wave elevations, which provides new ways to delve into the underlying modal responses and energy transfer between modes, as well as to verify the validity of ordering assumptions in the weakly nonlinear models. Wavelet analyses are also performed for the wave elevations and generalized coordinates of the modes to better understand the time-frequency information of the higher harmonics of the sloshing responses and energy transfer in a nonlinear process. Planar harmonic sloshing state, swirling harmonic sloshing state and periodically modulated sloshing state are analyzed. It is found that the energy is more dispersed among different modes in the periodically modulated sloshing state, which means higher natural modes are consequential. In general, energies are found to transfer from lower to higher natural modes, and between symmetric and antisymmetric natural modes. The results also show that the O(ε 1/3 ) and O(ε 2/3 ) responses are dominated by only first and second harmonics respectively, while the O(ε) response contains non-negligible first and third harmonic contribution. At last, the influence of initial disturbance is examined, demonstrating that different initial disturbances may lead to the different rotation direction of the swirling waves and the sloshing-wave responses in the transient stage, while the main characteristics of the sloshing waves are robust and independent of initial conditions.

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Numerical and experimental study of the motion of a sphere in a communicating vessel system subject to sloshing

Abstract: This paper was selected as Featured ARTICLES YOU MAY BE INTERESTED IN Impact of the Lewis number on finger flame acceleration at the early stage of burning in channels and tubes

Cited by 9 publications

References 53 publications

A numerical and experimental study of a buoy interacting with waves

A numerical and experimental study of a buoy interacting with waves

Numerical modeling of liquid sloshing in flexible tank with FSI approach

Nonlinear liquid sloshing in an upright circular container: Modal responses and higher-order harmonics

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