A meshfree formulation of local radial point interpolation method (LRPIM) for incompressible flow simulation

Abstract

The LRPIM method is adopted to simulate the two-dimensional natural convection problems within enclosed domain of different geometries. In this paper, the vorticity-stream function form of N-S equations is taken as the governing equations. It was observed that the obtained results agreed very well with others available in the literatures, and with the same nodal density, the accuracy achieved by the LRPIM method is much higher than that of the finite difference (FD) method. The numerical examples show that the present LRPIM method can successfully deal with incompressible flow problems on randomly distributed nodes.