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Ocean Systems Engineering
  Volume 1, Number 4, December 2011 , pages 355-372
DOI: https://doi.org/10.12989/ose.2011.1.4.355
 

Numerical simulation of fully nonlinear sloshing waves in three-dimensional tank under random excitation
Gang Xu, A.M.S. Hamouda and B.C. Khoo

 
Abstract
    Based on the fully nonlinear velocity potential theory, the liquid sloshing in a three dimensional tank under random excitation is studied. The governing Laplace equation with fully nonlinear boundary conditions on the moving free surface is solved using the indirect desingularized boundary integral equation method (DBIEM). The fourth-order predictor-corrector Adams-Bashforth-Moulton scheme (ABM4) and mixed Eulerian-Lagrangian (MEL) method are used for the time-stepping integration of the free surface boundary conditions. A smoothing scheme, B-spline curve, is applied to both the longitudinal and transverse directions of the tank to eliminate the possible saw-tooth instabilities. When the tank is undergoing one dimensional regular motion of small amplitude, the calculated results are found to be in very good agreement with linear analytical solution. In the simulation, the normal standing waves, travelling waves and bores are observed. The extensive calculation has been made for the tank undergoing specified random oscillation. The nonlinear effect of random sloshing wave is studied and the effect of peak frequency used for the generation of random oscillation is investigated. It is found that, even as the peak value of spectrum for oscillation becomes smaller, the maximum wave elevation on the side wall becomes bigger when the peak frequency is closer to the natural frequency.
 
Key Words
    sloshing waves; random waves; desingularized BIEM; fully nonlinearity
 
Address
Gang Xu : Department of Mechanical and Industrial Engineering, Qatar University, Qatar, School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, China
A.M.S. Hamouda : Department of Mechanical and Industrial Engineering, Qatar University, Qatar
B.C. Khoo : Department of Mechanical Engineering, National University of Singapore, Singapore
 

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