The generalized finite difference method (GFDM) is a newly developed domain type meshless method,which could truly get rid of time consuming meshing generation and numerical quadrature at every time step and be adopted to simulate the non linear moving boundary physical problems.According to the Lagrangian approach,the GFDM and the leap frog approach were adopted for spatial and temporal discretizations of the sloshing problem in a two dimensional numerical tank,respectively.Results and comparisons via the numerical examples of free sloshing and forced sloshing verified the accuracy,efficiency and stability of the proposed meshless numerical scheme.
