Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank

Chen, Bang-Fuh; Nokes, Roger

doi:10.1016/j.jcp.2005.03.006

Cited by 126 publications

(70 citation statements)

References 27 publications

(45 reference statements)

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“…A number of researchers have provided comprehensive reviews on the problem of liquid sloshing, and the related numerical simulation methods [2][3][4]. Most of the numerical simulations are focused on grid-based methods, such as finite difference method (FDM) [5,6], finite element method (FEM) [7,8], and boundary element method (BEM) [9][10][11][12]. As a complex fluid motion, sloshing usually involves changing and breakup of free surfaces, strong turbulence and vortex, and violent fluid-solid interaction.…”

Section: Introductionmentioning

confidence: 99%

An improved SPH method for modeling liquid sloshing dynamics

Shao

Liu

et al. 2012

Computers & Structures

212

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Section: Introductionmentioning

confidence: 99%

An improved SPH method for modeling liquid sloshing dynamics

Shao

Liu

et al. 2012

Computers & Structures

212

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“…In this work, a rigid tank with partially filled fluid is considered and analyzed by a time-independent finite difference method [21] to simulate the movement of sloshing liquid with baffles. As illustrated in Fig.…”

Section: Mathematical Formulation and Numerical Approachmentioning

confidence: 99%

“…In this way, the iteration numbers decreases and the convergence speed significantly increases by comparing to [21]. The convergence criterion for the iteration of u, v, and p is 5 …”

Section: Mathematical Formulation and Numerical Approachmentioning

confidence: 99%

“…A 2D tank with internal baffles is considered in this work .The treatment of flow field around baffles is carried out by the combination of a fictitious cell approach, which is similar to the ghost cell approach [20], and the time-independent finite difference method [21]. Section 2 introduces the equations of motion which are written in a moving frame of reference attached to the accelerating tank.…”

Section: Introductionmentioning

confidence: 99%

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Dynamics of vortex evolution in a 2D baffled tank

Faltinsen

Chen

2016

Computers & Mathematics with Applications

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When the baffle height is small (db ≤ 0.2 d0), the vortex size mainly grows in the horizontal direction.Instead, the vortex size dominantly develops in the vertical direction as db ≥ 0.3 d0. The period of the generation and shedding of vortices near the baffle tip is nearly about one half of the excitation period of the tank. The dynamics of vortex evolution is closely related to the growth and the hydrodynamic interaction of the vortices and sensitively depends on the baffle height, liquid depth, excitation frequency, and excitation displacement of the tank.

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“…the sloshing motion were done by the cell-centred pressure-based SIMPLE scheme (Chen and Nokes, 2005).…”

Section: N U M E R I C a L M E T H O Dmentioning

confidence: 99%

Numerical Simulations on the Capsizing of Bulk Carriers with Nickel Ores

Zou

Shen

2013

J. Navigation

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The liquefaction of nickel ore is widely considered to account for the capsizing and sinking of bulk carriers, but the mechanisms that lead to the incidents still remain uncertain. In this paper, the sloshing motion of fluid with high viscosity in a rectangular tank has been studied; the Level Set Method has been employed to predict the behaviours of fluid sloshing motion under the circumstances of beam seas. In a bid to evaluate the consistency of the numerical solution, a full validation has been performed. The results obtained from the simulations are in good agreement with that from the experiment. The conclusions have also been made that the collapse of the shear resistance of the fluid or increasing heeling moment acquired from the fluid sloshing after liquefaction of the nickel ore may be responsible for the capsizing and sinking of the ships. Hopefully, our conclusions can help ship owners better understand how to take precautions to prevent the ships from capsizing while carrying nickel ore or similar cargos; the results could provide the IMO with the theoretical basis for stipulating new international safe standards for bulk carriers; the numerical methodology can also help engineers to predict sloshing motion of viscous fluids. K E Y WO R D S1. Nickel ore.2. Liquefaction. 3. Sloshing. 4. Stability.

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Time-independent finite difference analysis of fully non-linear and viscous fluid sloshing in a rectangular tank

Cited by 126 publications

References 27 publications

An improved SPH method for modeling liquid sloshing dynamics

An improved SPH method for modeling liquid sloshing dynamics

Dynamics of vortex evolution in a 2D baffled tank

Numerical Simulations on the Capsizing of Bulk Carriers with Nickel Ores

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