The Numerical Study of Piston Ring Elastohydrodynamic Lubrication by the Multigrid Method

Numerical analysis of elastohydrodynamic lubrication of piston rings requires that the solutions are able to converge quickly. In this paper, a new powerful numerical method, the Multigrid method, has been introduced, and the numerical problem has been solved successfully. The computing process and practice are expounded. In addition, a new radial force equilibrium equation taking the internal force into account has been proposed and a more precise formula for calculating the radial displacement has been used. Both of these make the calculations more accurate. The oil film thickness values presented in this paper have been compared with those published before. It can be shown that former values are closer to the measured values.