Modified moving particle semi-implicit meshless method for incompressible fluids

A modified moving particle semi-implicit method (MPS) is presented for incompressible fluids. Modification is on the removal of imaginary nodes to enforce the boundary conditions. Comparison with the original imaginary-node scheme has proved the validity of the proposed method. Performance of MPS method in general is also investigated by comparing the results of Lid-driven and natural convection problems with finite volume method (FVM). It is found that MPS method shows relatively strong numerical diffusion, and for convection problems, MPS method appears to be less robust than FVM. Though better results could be obtained with different kernel functions, such improvement is quite limited.