An Implicit Multidomain Spectral Collocation Method for the Simulation of Gas Bearings Between Textured Surfaces

[+] Author and Article Information
Isaac M. Kuria

Naval Undersea Warfare Center, Detachment New London, New London, CT 06320-5594

Peter E. Raad

Mechanical Engineering Department, Southern Methodist University, Dallas, TX 75275-0337

J. Tribol 118(4), 783-793 (Oct 01, 1996) (11 pages) doi:10.1115/1.2831609 History: Received November 28, 1994; Revised November 01, 1995; Online January 24, 2008


This work presents an implicit, multidomain, Chebyshev spectral collocation method for the solution of the compressible Reynolds equation of lubrication for a self-acting air bearing supporting a taper-flat slider. The method maintains second-order accuracy in time and exponential accuracy in space. Multiple domains are introduced to allow for the distribution of additional collocation points in the boundary layer regions without increasing the number of collocation points everywhere else in the computational domain. Multiple domains are also used to resolve individual sinusoidal roughness waves, demonstrating the method’s utility in resolving geometric and/or flow features in the interior of the computational domain. The ordinary differential equations governing the slider’s two degrees of freedom are integrated in time by the use of a fourth-order Adams-Bashforth method which allows for accurate and efficient coupling with the fluid dynamics of the gas bearing. The strength of the multidomain pseudospectral method in resolving problems with important geometric features and boundary layers is demonstrated by numerical experiments for sliders possessing different taper lengths and surface textures.

Copyright © 1996 by The American Society of Mechanical Engineers
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