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Based upon a hydrodynamic lubrication model used in journal bearing simulation, a one-dimensional flow continuity algorithm was developed in modeling ring-liner lubrication. By applying a “universal” differential equation to the entire ring-liner interface, the starting and ending points of full film can be located automatically. Considering the oil flow difference in the regions partially filled by oil between the ring/liner lubrication and bearing lubrication, the traditional assumption that the streams of oil and oil-vapor/air attach to both surfaces was relaxed in this model. Corresponding to this improvement, a transition region was introduced to smooth out the discontinuity of convection flow at the interface between a region fully filled by oil and a region partially filled by oil. Moreover, a distribution of standard pressure, which is crucial in formulating the universal differential equation, was proposed.