Abstract
Under sever conditions, asperity contacts take place, surrounded by fluid lubrication. Mathematical descriptions are needed to describe local connection between fluid lubrication and solid contacts. In order to differentiate them from conventional boundary conditions, these conditions are called lubrication-contact boundary conditions (LCBCs), which have not been sufficiently addressed by previous studies. In this work, a set of LCBCs formulations are constructed based on local flow continuity from the continuum mechanics point of view, together with pressure inequalities. Numerical implementations are developed and tested with problems involving simple geometries, and they are expected to be integrated with mixed/boundary EHL solvers, as well as be applied to deterministic sub-models of stochastic models in order to obtain flow factors that consider solid contacts.