The present work deals with the numerical solution of the compressible Reynolds equation in the frame of the finite volumes method of discretization. The first original aspect of the numerical solution is a new upwind procedure borrowed from aerodynamics, namely from the transonic potential flow solutions. The second original aspect of the numerical solution is the finite volume discretization for unstructured grids. The method was developed in an effort to obtain a tool for analyzing hybrid bearings so its first validations consists of comparisons between calculated static and dynamic characteristics and values found in the literature.

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