Sloshing in partially filled liquid containers—Numerical and experimental study for 2-D problems

Abstract

This paper deals with the numerical and experimental studies of sloshing of liquid in partially filled prismatic containers subjected to external excitation. Meshless local Petrov–Galerkin (MLPG) method is used for computing the nonlinear sloshing response of liquid in a two-dimensional rigid prismatic tank. At every instant of time, velocity potential is computed at each node and the nodal positions are updated. A local symmetric weak form (LSWF) for nonlinear sloshing of liquid is developed, and a truly meshless method, based on LSWF and moving least squares (MLS) approximation, is presented for the solution of Laplace equation with the requisite boundary conditions. An experimental set-up is also designed to study the behavior of liquid sloshing in partially filled prismatic tank. The resulting slosh heights for various excitation frequencies and amplitudes are compared with the data obtained from the numerical studies. The numerical results are close to that obtained experimentally and little variations in the data are due to ineptness of the experimental set-up and the input parameters.