Smoothed particle hydrodynamics (SPH) model for coupled analysis of a damaged ship with internal sloshing in beam seas

Cao, X.; Tao, Longbin; Zhang, A-Man; Ming, Fu-Ren

doi:10.1063/1.5079315

Cited by 38 publications

(4 citation statements)

References 64 publications

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“…The smoothed particle hydrodynamics (SPH) method [34,68,66,67,74] and the moving particle semi-implicit (MPS) method [23,24] are two of the most widely used particle methods. Due to the mesh-less nature, the particle methods have distinct advantages in modelling violent breaking waves and the complex wavestructure interaction processes, which normally involve fluid fragmentation and coalescence [8].…”

Section: Introductionmentioning

confidence: 99%

The suction effect during freak wave slamming on a fixed platform deck: Smoothed particle hydrodynamics simulation and experimental study

et al. 2019

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During the process of wave slamming on a structure with sharp corners, the wave receding after wave impingement can induce strong negative pressure (relative to the atmospheric pressure) at the bottom of the structure, which is called the suction effect. From the practical point of view, the suction force induced by the negative pressure, coinciding with the gravity force, pulls the structure down and hence increases the risk of structural damage. In this work, the smoothed particle hydrodynamics (SPH) method, more specifically the δ + SPH model, is adopted to simulate the freak wave slamming on a fixed platform with the consideration of the suction effect, i.e. negative pressure, which is a challenging issue because it can cause the so-called tensile instability (TI) in SPH simulations. Key to overcome the numerical issue is to use a numerical technique named tensile instability control (TIC). Comparative studies using SPH models with and without TIC will show the importance of this technique in capturing the negative pressure. It is also found that using a two-phase simulation that takes the air phase into account is essential for an SPH model to accurately predict the impact pressure during the initial slamming stage. The freak wave impacts with different water depths are studied. All the multiphase SPH results are validated by our experimental data. The wave kinematics/dynamics and wave impact features in the wave-structure interacting process are discussed and the mechanism of the suction effect characterized by negative pressure is carefully analyzed.

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Section: Introductionmentioning

confidence: 99%

The suction effect during freak wave slamming on a fixed platform deck: Smoothed particle hydrodynamics simulation and experimental study

et al. 2019

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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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“…The Smoothed Particle Hydrodynamics (SPH) is a meshless particle method, initially conceived in the context of astrophysics (Gingold & Monaghan [35], Lattanzio et al [34]) and subsequently applied to different fields of physics, including simulations of fluid dynamics (see e.g. Cao et al [48], Cao et al [72]) and solid mechanics (see e.g. Zhang et al [49], Peng et al [73]).…”

Section: Introductionmentioning

confidence: 99%

Theδ-ALE-SPH model: An arbitrary Lagrangian-Eulerian framework for theδ-SPH model with particle shifting technique

et al. 2021

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The behaviour of a weakly-compressible SPH scheme obtained by rewriting the Navier-Stokes equations in an arbitrary Lagrangian-Eulerian (ALE) format is studied. Differently from previous works on ALE, which generally adopt conservative variables (i.e. mass and momentum) and rely on the use of Riemann solvers inside the spatial operators, the proposed model is expressed in terms of primitive variables (i.e. density and velocity) and is written by using the standard differential formulations of the weakly-compressible SPH schemes. Similarly to ALE-SPH models, the arbitrary velocity field is obtained by modifying the pure Lagrangian velocity of the material point through a velocity δu given by a Particle Shifting Technique (PST). We show that the above-mentioned ALE-SPH equations are, however, unstable when they are integrated in time. The instability appears in the form of large volume variations in those fluid regions characterised by high velocity strain rates. Nonetheless, the scheme can be stabilised if appropriate diffusion terms are included in both the equations of density and mass. This latter scheme, hereinafter called δ-ALE-SPH scheme, is validated against reference benchmark testcases: the viscous flow around an inclined elliptical cylinder, the lid-driven cavity and a dam-break flow impacting a vertical wall.

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Smoothed particle hydrodynamics (SPH) model for coupled analysis of a damaged ship with internal sloshing in beam seas

Cited by 38 publications

References 64 publications

The suction effect during freak wave slamming on a fixed platform deck: Smoothed particle hydrodynamics simulation and experimental study

The suction effect during freak wave slamming on a fixed platform deck: Smoothed particle hydrodynamics simulation and experimental study

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

Theδ-ALE-SPH model: An arbitrary Lagrangian-Eulerian framework for theδ-SPH model with particle shifting technique

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