A robust piston ring lubrication solver: Influence of liner groove shape, depth and density

A multigrid code using Alcouffe׳s [1] ideas has been written to solve the hydrodynamic lubrication equation for the piston ring-cylinder liner contact with a textured liner. The new program shows good convergence, even for deep grooves. Results are compared with a simplified 1D analytic model proposed by Biboulet [2]. Then a 2D analytic model of cross hatched grooves with a small angle is studied and compared with the 1D analytic model.