Boundary Element Method Applied to the Analysis of Shallow Liquid Sloshing in Moving Tanks

摘要

The present paper deals with the boundary element analysis of transient and nonlinear motion of shallow liquid in a two-dimensional rectangular tank subjected to forced horizontal oscillations. The problem is formulated mathematically with a velocity potential. The basic equations including nonlinear boundary conditions are discretized in space by the boundary element method and in time by a forward-time Taylor series. Due to the shallowness of the contained liquid, the vertical dimension of the solution domain becomes much smaller than the horizontal one. Then, the normalization of the solution domain is carried out: the physical domain is transformed into the normalized domain with unit tank length and unit mean liquid depth. The boundary element method is applied for the solution of the equations thus transformed. The numerical results are compared with available experimental data, and good agreement is obtained.