Poiseuille flow widely exists in the industry, but the stability and reliability of the moving particle semi-implicit (MPS) method in the simulation of wall shear flow such as Poiseuille flow need to be verified.

The meshless solver MLParticle-SJTU, which was developed independently based on the MPS method, is used to simulate Poiseuille flow in 2D pipes under different Reynolds numbers by establishing the inflow boundary and no-slip wall boundary, and the fluid is an incompressible Newtonian fluid. The numerical simulation results and theoretical results are then compared to verify the accuracy of the former.

The results show that the velocity profile of Poiseuille flow is parabolic when the flow is fully developed, and the error of the numerical simulation results is within 5% compared with the theoretical results under different Reynolds numbers.

This study shows that the MPS method is effective and reliable for simulating 2D Poiseuille flow under the boundary conditions proposed in this paper.