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The Moving Particle Semi-Implicit (MPS) method is a lagrangian particle method originally developed to simulate incompressible flow. However, when applied to the study of some phenomena, a non negligible numerical damping of the particles motion was observed by the authors. In this work a simulator developed at the Numerical Offshore Tank at Univer- sity of S˜ ao Paulo based on the MPS method is used. To investigate the nature and the effects of the numerical damping, numerical experiments based on two benchmark cases with well known analytical solutions were carried out in the present work. The first case is the Poiseuille flow and the results show that for low acceleration values there is a numerical damping that, in extreme cases, can stop the flow; but for higher accelerations, agreement with the analyti- cal profile of velocities were obtained. The second case is a falling-film flow, also the results show that the discrepancy between numerical and analytical results is remarkable in the cases with lower acceleration, but for higher accelerations there is a good agreement between both approaches.

AN EXPERIMENT ON THE NUMERICAL DAMPING OF MOVING PARTICLE SEMI-IMPLICIT (MPS) METHOD