Two-dimensional dynamic analysis of rectangular tanks under the effect of harmonic and seismic loading by method of fundamental solution with pressure formulation

Abstract

It’s important to study the liquid motion and its effect on the tanks. The method of fundamental solution (MFS) is a novel meshless numerical method proposed to solve incompressible inviscid fluid flow problems with moving boundaries. In this paper, this method is developed for two-dimensional rectangular water reservoirs under harmonic and earthquake excitations. For modeling of fluid motion with a moving free surface, Lagrangian formulation is used to pressure equation, like a potential equation and so the geometry is updated in each time step through an implicit algorithm. In recent research, equations are used with linearized boundary conditions, while due to the Lagrangian approach of pressure-based equations; the boundary conditions of the problem are very simple and it’s easy to solve complex problems. The innovation of this study is considering earthquake loads to simulate sloshing water surfaces applied by the Method of fundamental solution (MFS). The nature of earthquake excitation due to frequency content and fast acceleration changes leads to singularity problems in tank corners. So, the solution is expressed as a linear Green basis function in the method of fundamental solutions to avoid the singularity problem and to obtain better results. The numerical results are compared with other numerical and experimental results to show the proposed procedure precisely taking into account the effects of earthquake excitation. © 2024, Amirkabir University of Technology. All rights reserved.