Analysis of double free surface flow under radial gate by coupled EFG-RPIM method

The element-free Galerkin (EFG) and the radial point interpolation (RPIM) methods are two meshless methods in the field of the computational mechanics. In the present study, a computational scheme using a variable domain and a fixed domain is presented based on the coupling of EFG and RPIM for analysis of two dimensional double free surface flows under radial gate for the computation of the free surface profiles, velocity and pressure distributions, and the flow rate of a 2D gravity fluid flow through the conduit. The coupling between EFG and RPIM is achieved by using the RPIM shape functions as the weight functions for EFG method. In this approach, contrary to EFG method, the imposition of the essential boundary conditions is straight forward and shape functions fulfill the Kronecker delta property. In this study, the fluid is assumed to be inviscid and incompressible and the obtained results are compared by conducting a hydraulic model test. The results are in agreement in terms of free surface profiles and pressure distributions.