## Journal of Applied Mathematics

• J. Appl. Math.
• Volume 2012, Special Issue (2012), Article ID 340640, 20 pages.

### A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation

#### Abstract

Sloshing flows in a two-dimensional rigid rectangular tank under specified excitations in the coupled horizontal and vertical modes are simulated by using a higher-order boundary element method (BEM). The liquid sloshing is formulated as an initial-boundary-value problem based on the fully nonlinear potential flow theory. And a semi-mixed Eulerian-Lagrangian technique combined with the 4th-order Runge-Kutta scheme is employed to advance the solutions in the time marching process. A smoothing technique is applied to the free surface at every several time steps to avoid the possible numerical instabilities. Numerical results obtained are compared with the available solutions to validate the developed model. The parametric studies are carried out to show the liquid sloshing effects in terms of the slosh frequencies and excitation amplitudes in horizontal and vertical modes, the second-order resonance frequency, a bottom-mounted vertical rigid baffle, free surface displacement, and hydrodynamic forces acting on the tank.

#### Article information

Source
J. Appl. Math., Volume 2012, Special Issue (2012), Article ID 340640, 20 pages.

Dates
First available in Project Euclid: 17 October 2012

https://projecteuclid.org/euclid.jam/1350488740

Digital Object Identifier
doi:10.1155/2012/340640

Zentralblatt MATH identifier
1251.76031

#### Citation

Ning, De-Zhi; Song, Wei-Hua; Liu, Yu-Long; Teng, Bin. A Boundary Element Investigation of Liquid Sloshing in Coupled Horizontal and Vertical Excitation. J. Appl. Math. 2012, Special Issue (2012), Article ID 340640, 20 pages. doi:10.1155/2012/340640. https://projecteuclid.org/euclid.jam/1350488740

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