A two-scale methodology on modelling surface topography by homogenization technique

Abstract

In the work, a novel two-scale computational approach aiming to provide the homogenized behavior informed by microscale computations is developed for hydrodynamically lubricated slider bearing. A derivative formulation with respect to main lubricated parameters is derived to calculate the fluid pressure at the macroscopic domain. Partial derivative terms included in this formulation are calculated by employing the linearization method presented, where flow fluxes obtained at the microscopic domain are averaged using homogenization technique. On the basis of pressure shift and mass conservation principle, the near-periodic boundary conditions are modelled for exactly describing the fluid behavior at the microscopic domain. A series of numerical simulations are implemented for evaluating the impacts of the topography shape, the topography amplitude, and the topography wavelength on bearing characteristics.