Numerical study of sloshing liquid in tanks with baffles by time-independent finite difference and fictitious cell method

Analysis on Shift of Nature Modes of Liquid Sloshing in a 3D Tank Subjected to Oblique Horizontal Ground Motions with Damping Devices

“…In the present study, we straightforwardly extend the numerical model of Wu et al [24] from 2D to 3D to explore sloshing dynamics in tanks with two damping devices, a tank bottom-mounted baffle, and a surface-piercing flat plate. The excitation of a three-dimensional tank ( Figure 1) with different dimensionless excitation amplitudes; with multiple degrees of freedom for the excitation direction; with excitation frequencies near and far from the first natural frequency; with arbitrary water depths are considered in this work.…”

“…In the present study, we extend the numerical scheme of [24] from 2D to 3D by using simple mapping functions to remove the time dependence of the free surface of the liquid domain. The time-varying liquid surface can be mapped onto a cube by the proper coordinate transformations.…”

“…He concluded that the blockage effect of the baffle on the liquid convection is predominant to the tip vortex when the baffle height increases. Wu et al [24] carried out that the fictitious cell approach associated with a coordinate transformation technique was successfully adopted to solve for the sloshing liquid in 2D tanks with baffles. The numerical scheme was validated by their experiment work.…”

“…The excitation of a three-dimensional tank ( Figure 1) with different dimensionless excitation amplitudes; with multiple degrees of freedom for the excitation direction; with excitation frequencies near and far from the first natural frequency; with arbitrary water depths are considered in this work. In the three-dimensional model, the time-independent finite difference method [24] is utilized to incorporate the 3D Navier-Stokes equations and the fully nonlinear kinematic and dynamic free surface boundary conditions for incompressible fluid in a rectangular tank with a square base. The time varying moving boundary is mapped onto a time-independent domain through proper transformation functions, and a special finite difference approximation is made in order to overcome the difficulty of maintaining the accuracy of the finite difference expression for the second derivative when the difference mesh is stretched near the boundary.…”

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The extended study of Wu et al (2012) of sloshing fluid in tanks with internal structures from 2D to 3D is presented in the paper. The phenomenon of liquid sloshing in a 3D tank with various damping devices is solved by the time-independent finite difference method combined with the ghost (fictitious) cell approach.

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