Michael Reichelt,
Markus Windisch,
Günter Offner,
Sarah Santner
S. 355 - 369
doi:
10.1553/etna_vol54s355
Verlag der Österreichischen Akademie der Wissenschaften
doi:
10.1553/etna_vol54s355
Abstract:
The well-known Reynolds equation is typically used to compute the pressure distribution for elasto-hydrodynamic contacts of parts, as, for instance, in radial slider bearings. In order to resolve local pressure phenomena like edge loading, a higher spatial resolution is needed. This causes problems for stationary solvers, like Gauss-Seidel iteration, which are well suited for the occurring nonlinearities. These problems can be overcome by applying multigrid methods. Since the Reynolds equation is nonlinear, expensive nonlinear multigrid methods are expected to be required. This paper introduces an approach to combine a linear multigrid method with a Gauss-Seidel solver on the finest level, which yields a similar convergence behavior as a nonlinear multigrid method but at much lower computational cost. The formulations are general so that analogous applications of the Reynolds equation, as, for instance, for axial slider bearings or hydrodynamic piston-liner contacts, are straightforward.
radial slider bearings, Reynolds equation, multigrid
Published Online:
2021/04/27 08:07:50
Object Identifier:
0xc1aa5576 0x003c6836
Rights:All rights reserved.For questions regarding copyright and copies please contact us by email.
Electronic Transactions on Numerical Analysis (ETNA) is an electronic journal for the publication of significant new developments in numerical analysis and scientific computing. Papers of the highest quality that deal with the analysis of algorithms for the solution of continuous models and numerical linear algebra are appropriate for ETNA, as are papers of similar quality that discuss implementation and performance of such algorithms. New algorithms for current or new computer architectures are appropriate provided that they are numerically sound. However, the focus of the publication should be on the algorithm rather than on the architecture. The journal is published by the Kent State University Library in conjunction with the Institute of Computational Mathematics at Kent State University, and in cooperation with the Johann Radon Institute for Computational and Applied Mathematics of the Austrian Academy of Sciences (RICAM). Reviews of all ETNA papers appear in Mathematical Reviews and Zentralblatt für Mathematik. Reference information for ETNA papers also appears in the expanded Science Citation Index. ETNA is registered with the Library of Congress and has ISSN 1068-9613.
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