Comportamiento Numérico de la Versión Integral de la Ecuación de Reynolds

Abstract

The Reynolds equation appears in numerous problems of industrial interest, among them are de socalled
elastohydrodynamic sistems (EHD) where de flow of liquid is coupled to the deformation of the solid boundaries that confine the flow. The final set of governing equations is highly nonlinear and must be solved numerically.
The one-dimensional Reynolds equation might be posed as a differential equation or it might be integrated to give the pressure field as an integral function. Both versions behave differently when they are used in the discrete models; while the integral form always work suitably, the differential form produces results that strongly depend on the discretization employed.
In this work we compare the two alternatives by employing a limit case of an EHD system; i.e. the rigid contact. The results presented conclusively show that the integral version should be used.