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

Document Type : Research Article


Mechanical Engineering Department, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran.


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.


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  • Receive Date: 05 March 2018
  • Revise Date: 21 August 2018
  • Accept Date: 29 August 2018
  • First Publish Date: 21 January 2019