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The solution of the Elrod algorithm for a dynamically loaded journal bearing using multigrid techniquesA numerical solution to a theoretical model of vapor cavitation in a dynamically loaded journal bearing is developed utilizing a multigrid iteration technique. The method is compared with a noniterative approach in terms of computational time and accuracy. The computational model is based on the Elrod algorithm, a control volume approach to the Reynolds equation which mimics the Jakobsson-Floberg and Olsson cavitation theory. Besides accounting for a moving cavitation boundary and conservation of mass at the boundary, it also conserves mass within the cavitated region via a smeared mass or striated flow extending to both surfaces in the film gap. The mixed nature of the equations (parabolic in the full film zone and hyperbolic in the cavitated zone) coupled with the dynamic aspects of the problem create interesting difficulties for the present solution approach. Emphasis is placed on the methods found to eliminate solution instabilities. Excellent results are obtained for both accuracy and reduction of computational time.
Document ID
19890047424
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Woods, C. M.
(NASA Lewis Research Center Cleveland, OH, United States)
Brewe, D. E.
(NASA Lewis Research Center; U.S. Army, Propulsion Directorate, Cleveland OH, United States)
Date Acquired
August 14, 2013
Publication Date
April 1, 1989
Publication Information
Publication: ASME, Transactions, Journal of Tribology
Volume: 111
ISSN: 0742-4787
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
ASME PAPER 88-TRIB-23
Accession Number
89A34795
Distribution Limits
Public
Copyright
Other

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