Liquid sloshing in an upright circular tank under periodic and transient excitations

Liang, Hui; Santo, H.; Shao, Yanlin; Law, Yun Zhi; Chan, Eng Soon

doi:10.1103/physrevfluids.5.084801

Cited by 27 publications

(18 citation statements)

References 35 publications

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“…Ma et al (2017) compared this method with an immersed overlapping grid fitted to the boundaries (corresponding to the body in our case). Recently, this technique was successfully applied to a 3D problem by Liang et al (2020): the liquid sloshing problem in an upright circular tank. Accurate results were obtained when compared to weakly nonlinear and linear model theories.…”

Section: A Double Mesh Strategy To Adapt the Resolution In The Vicinity Of A Bodymentioning

confidence: 99%

Development and validation of a numerical wave tank based on the Harmonic Polynomial Cell and Immersed Boundary methods to model nonlinear wave-structure interaction

Robaux

Benoît

2021

Journal of Computational Physics

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A fully nonlinear potential Numerical Wave Tank (NWT) is developed in two dimensions, using a combination of the Harmonic Polynomial Cell (HPC) method for solving the Laplace problem on the wave potential and the Immersed Boundary Method (IBM) for capturing the free surface motion. This NWT can consider fixed, submerged or wall-sided surface piercing, bodies. To compute the flow around the body and associated pressure field, a novel multi overlapping grid method is implemented. Each grid having its own free surface, a two-way communication is ensured between the problem in the body vicinity and the larger scale wave propagation problem. Pressure field and nonlinear loads on the structure are computed by solving a boundary value problem on the time derivative of the potential. The stability and convergence properties of the solver are studied basing on extensive tests with standing waves of large to extreme wave steepness, up to H/λ = 0.2 (H is the crest-to-trough wave height and λ the wavelength). Ranges of optimal time and spatial discretizations are determined and high-order convergence properties are verified, first without using any filter. For cases with either high level of nonlinearity or long simulation duration, the use of mild Savitzky-Golay filters is shown to extend the range of applicability of the model. Then, the NWT is tested against two wave flume experiments, analyzing forces on bodies in various wave conditions. First, nonlinear components of the vertical force acting on a small horizontal circular cylinder with low submergence below the mean water level are shown to be accurately simulated up to the third order in wave steepness. The second case is a dedicated experiment with a floating barge of rectangular cross-section. This very challenging case (body with sharp corners in large waves) allows to examine the behavior of the model in situations at and beyond the limits of its formal application domain. Though effects associated with viscosity and flow separation manifest experimentally, the NWT proves able to capture the main features of the wave-structure interaction and associated loads.

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Section: A Double Mesh Strategy To Adapt the Resolution In The Vicinity Of A Bodymentioning

confidence: 99%

Development and validation of a numerical wave tank based on the Harmonic Polynomial Cell and Immersed Boundary methods to model nonlinear wave-structure interaction

Robaux

Benoît

2021

Journal of Computational Physics

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“…Aiming at accurately capturing the complex fully nonlinear liquid sloshing process in a container, numerous numerical models based on Fully Nonlinear Potential Flow (FNPF) theory have been proposed and implemented using different numerical methods, such as Finite Difference Method (FDM) (Frandsen, 2004), Finite Element Method (FEM) (Wu et al, 1998;Kim et al, 2003;Wang and Khoo, 2005), Finite Volume Method (FVM) (Lin et al, 2019;, Boundary Element Method (BEM) (Faitinsen, 1978;Nakayama and Washizu, 1981;Zhang, 2015), and Harmonic Polynomial Cell (HPC) (Shao, 2010;Liang et al, 2020). In these models, the free surface is updated based on the kinematic and dynamic boundary conditions and due to the potential flow assumption and its inherent limitations, they are not capable of capturing the violent post-wave breaking process such as free surface turbulence and air entrainment.…”

Section: Introductionmentioning

confidence: 99%

“…Zhang et al (2015) developed a BEM-based FNPF sloshing model to examine the second-order sloshing resonance in a 3-D container, which was further developed to simulate the sloshing process in an inverted trapezoid tank (Zhang, 2015). By extending the HPC-based FNPF model (Shao, 2010), Liang et al (2020) incorporated an overset mesh technique to study liquid sloshing process under focused-wave-type excitations.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Liquid Sloshing Using a Fully Nonlinear Potential Flow Model in the Noninertial Coordinate System

Lin¹,

Qian²,

Bai³

2022

IJOPE

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Liquid sloshing has been one of the primary concerns in ocean and offshore engineering due to its significant effects on ship stability and structure integrity. To investigate sloshing flow problems, a 3-dimensional Finite Volume Method based Fully Nonlinear Potential Flow (FNPF) model in the non-inertial coordinate system is developed in the present study. In this model, the Laplace equation is spatially discretised and solved using a second-order accurate finite volume method from the open source computational fluid dynamics software OpenFOAM. For the fully nonlinear free surface problems, both kinematic and dynamic boundary conditions at the free surface are implemented in the mixed-Eulerian-Lagrangian (MEL) form to update the free surface elevation and velocity potential respectively. The FNPF sloshing model is validated against a number of available experimental measurements and numerical results for test cases under different external excitations. Finally, the conclusions in terms of model accuracy and applicability are summarised based on the validation and application results. It is found that the proposed FVM based sloshing FNPF model is able to simulate fully nonlinear liquid sloshing process in the non-inertial coordinate system.

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“…Very recently, Robaux and Benoit 52 also applied a similar overlapping-grid strategy in their development of a fully nonlinear numerical wave tank based on the HPC method. Liang et al 53 also applied the overlapping grids in a 3D HPC method to study liquid sloshing in an upright circular tank. Tong et al 54 used the method developed in Hanssen et al 51 to systematically study the generation and interaction of solitary waves in a fully nonlinear numerical wave tank.…”

Section: Introductionmentioning

confidence: 99%

An adaptive harmonic polynomial cell method with immersed boundaries: Accuracy, stability, and applications

Tong

Shao

Bingham

et al. 2021

Numerical Meth Engineering

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We present a 2D high-order and easily accessible immersed-boundary adaptive harmonic polynomial cell (IB-AHPC) method to solve fully nonlinear wave-structure interaction problems in marine hydrodynamics using potential-flow theory. To reduce the total number of cells without losing accuracy, adaptive quad-tree cell refinements are employed close to the free-surface and structure boundaries. The present method is simpler to implement than

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Liquid sloshing in an upright circular tank under periodic and transient excitations

Cited by 27 publications

References 35 publications

Development and validation of a numerical wave tank based on the Harmonic Polynomial Cell and Immersed Boundary methods to model nonlinear wave-structure interaction

Development and validation of a numerical wave tank based on the Harmonic Polynomial Cell and Immersed Boundary methods to model nonlinear wave-structure interaction

Numerical Simulation of Liquid Sloshing Using a Fully Nonlinear Potential Flow Model in the Noninertial Coordinate System

An adaptive harmonic polynomial cell method with immersed boundaries: Accuracy, stability, and applications

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