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In this paper, a previously developed and experimentally-validated piston secondary motion model has been improved further numerically and applied to understand the detailed interactions between the piston skirt and cylinder liner for various piston design parameters. The model considers the roughness of the surfaces and the topography of the skirt in both the axial (barrel profile) and circumferential directions (ovality). Three modes of lubrication: hydrodynamic, mixed, and boundary lubrication regimes have been considered and the skirt is partially flooded in most cases. Elastic deformation of the skirt is an essential part of the model. In this model, the piston dynamic behavior, frictional and impact forces are predicted as functions of crank angle and are examined in detail. Parameters investigated include piston skirt profile, piston to liner clearance, surface roughness, and oil availability.