A study of iterative solution techniques for elliptic partial differential equations with particular reference to the reynolds equation

Holmes, A. G.; Ettles, C. M. McC.

doi:10.1016/0045-7825(75)90004-3

Cited by 5 publications

(1 citation statement)

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“…T h e rate of convergence is also very sensitive to slight deviations from the optimum relaxation factor. Holmes and Ettles (9) suggested using an individual factor for each equation instead of a uniform factor throughout for improved performance.…”

Section: Finite Difference Methodsmentioning

confidence: 99%

Analysis of a Radial Groove Gas Face Seal

Basu¹

1992

Tribology Transactions

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An outs&-pressurized, bi-directional, gas face seal is analyzed here. This seal face is mude up of a hydrodynamic section, consisting of alternute regions of land and groove, and a hydrostatic dam. The groove region, based on its optimum widfh, can have either parallel or radial side boundaries, depending on the cost of machining and tooling.The compressible Reynolds equution is solved over a radial groove hydrodynamic section by both finite difference and finite element methodr. The fonner algorithm is seen to be about two to three times faster than the latter, but there is room for improvement in both.Next, a finite element solution is obtained over a corresponding parallel groove geometry. Both geometries yield approximately the same results, other parameters remaining equal. Hence, for design optimization purposes, a radial groove approximation may be justified for a parallel groove design in order to use the faster and easier finite difference algorithm.The flow over the hydrostatic section is modeled as I-D uiscous --

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Section: Finite Difference Methodsmentioning

confidence: 99%