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We study here the numerical analysis of a hydrodynamic contact in a particular conÿguration: the 3D incompressible viscous ow of a uid dragged by a smooth plate over a rough surface. The mathematical model takes into account and discretizes the local topography of the rough proÿle. The simulation outcome will be the 3D velocity and pressure ÿelds of the uid ÿlm within the contact borders. This work is limited to the study of numerical resolution methods working solely in ÿnite di erences. The algorithms will be tested by analysing and comparing their results with analytically known ows.

A theoretical study is presented to evaluate the influence of the structure size of laser-textured surfaces on the tribological performance of reciprocating automotive components. A topographic image representing a laser-textured liner surface is progressively filtered, using morphological alternating sequential filters of increasing size, in order to transform the roughness of the initial surface. A numerical tool simulating the hydrodynamic contact between piston rings and liner is then used to compare the performance of the textures issued from the filtering process. The results of this analysis can constitute key data for the definition of new and efficient textured surfaces with this type of application.

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