The pressure in a thin film of gas undergoing laminar, isothermal flow is given by the so-called Reynolds equation, a nonlinear, second-order, partial differential equation of parabolic type. The Reynolds equation plays a central role in the theory of gas-film lubrication. This paper is devoted to a study of numerical procedures based upon finite differences for obtaining approximate solutions. A number of explicit, semi-explicit, and implicit difference schemes are examined from the point of view of truncation error, stability, and computational efficiency.
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Approximate Methods for Time-Dependent Gas-Film Lubrication Problems
W. A. Michael
IBM Research Laboratory, San Jose, Calif.
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Michael, W. A. (December 1, 1963). "Approximate Methods for Time-Dependent Gas-Film Lubrication Problems." ASME. J. Appl. Mech. December 1963; 30(4): 509–517. https://doi.org/10.1115/1.3636611
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