A modified numerical method for calculations of film geometry of elasto-hydro-dynamic line contacts

In this paper, a modified full numerical model will be presented to calculate elastohydrodynamic line contacts in various conditions of geometry and material properties. This model can calculate results in shortest time and with best accuracy. All modifications will be applied in previously developed models to reach demanded results in desired time and accuracy. This model is helpful to get results in large number of points in elastohydrodynamic applications as gear lubrication along path of contact. Firstly, a scheme of the method will be presented. Then, some changes will be made in calculation process and considering the time consumption and results accuracy, the best method will be chosen. Finally, a special guess method will be developed to get the numerical results in the shortest time and best accuracy. In this method, firstly a good guess will be obtained using a coarse grid and short time and then these values will be used as a realistic guesses for starting numerical method in fine grid. Some special results will be obtained and discussed investigating the convergence process.