A Chebyshev spectral collocation method for the solution of the Reynolds equation of lubrication

Journal Article · Sat May 01 04:00:00 EDT 1993 · Journal of Computational Physics; (United States)

DOI:https://doi.org/10.1006/jcph.1993.1089· OSTI ID:5254848

Raad, P E ^[1]; Karageorghis, A ^[2]

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1. Southern Methodist Univ., Dallas, TX (United States)
2. Univ. of Cyprus, Nicosia (Cyprus)

A multi-domain, Chebyshev collocation method is presented for the solution of ultra-thin gas bearing problems. The behavior of the flow varies across the computational domain with very sharp gradients occurring in the side and trailing edge boundary layers. The decomposition of the computational domain allows independent control over the representation of the solution in each subdomain. A multi-parameter continuation scheme is used to facilitate the convergence as the Parameters of the problem are varied over a wide range. The method is shown to be well suited for the simulation of lubrication flow between textured surfaces even in the presence of very steep pressure boundary layers. 16 refs., 8 figs., 2 tabs.

• OSTI ID: 5254848
• Journal Information: Journal of Computational Physics; (United States), Journal Name: Journal of Computational Physics; (United States) Vol. 106:1; ISSN 0021-9991; ISSN JCTPAH
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420400* -- Engineering-- Heat Transfer & Fluid Flow
99 GENERAL AND MISCELLANEOUS
990200 -- Mathematics & Computers
COMPUTERIZED SIMULATION
FLUID MECHANICS
HYDRODYNAMICS
LUBRICATION
MATHEMATICAL MODELS
MECHANICS
NUMERICAL SOLUTION
SIMULATION