Efficient numerical method for various geometries of gas lubricated bearings

R.H.M. van der Stegen; H. Moes

doi:10.1016/s0167-8922(08)70479-6

Efficient numerical method for various geometries of gas lubricated bearings

R.H.M. van der Stegen, H. Moes

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

1 Citation (Scopus)

Abstract

This paper discusses the development of a numerical solver for the Reynolds equation in aerodynamic lubricated bearings, utilizing a finite difference method with multigrid. The advantages of the numerical method are that the number of operations and the memory capacity needed are almost proportional to the number of gridpoints involved. It is second order accurate and can cope with various bearing geometries. A survey is also given of the implemented modifications of the Reynolds equation. The efficiency of the method is demonstrated by two examples, namely: the dynamic tracking of the centre of a herringbone grooved journal bearing and the equilibrium position of a hard disk slider.

Original language	English
Title of host publication	Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction
Subtitle of host publication	Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK
Editors	D. Dowson, C.M. Taylor, T.H.C. Childs, G. Dalmaz, Y. Berthier, L. Flamand, J.-M. Georges, A.A. Lubrecht
Publisher	Elsevier
Pages	523-531
ISBN (Print)	0-444 828-095
DOIs	https://doi.org/10.1016/s0167-8922(08)70479-6
Publication status	Published - 23 Feb 1997
Event	23rd Leeds-Lyon Symposium on Tribology 1996 - Leeds, United Kingdom Duration: 10 Sep 1996 → 13 Sep 1996 Conference number: 23

Publication series

Name	Tribology Series
Publisher	Elsevier
Volume	32

Conference

Conference	23rd Leeds-Lyon Symposium on Tribology 1996
Country/Territory	United Kingdom
City	Leeds
Period	10/09/96 → 13/09/96

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10.1016/s0167-8922(08)70479-6

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van der Stegen, R. H. M., & Moes, H. (1997). Efficient numerical method for various geometries of gas lubricated bearings. In D. Dowson, C. M. Taylor, T. H. C. Childs, G. Dalmaz, Y. Berthier, L. Flamand, J-M. Georges, & A. A. Lubrecht (Eds.), Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK (pp. 523-531). (Tribology Series; Vol. 32). Elsevier. https://doi.org/10.1016/s0167-8922(08)70479-6

van der Stegen, R.H.M. ; Moes, H. / Efficient numerical method for various geometries of gas lubricated bearings. Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK. editor / D. Dowson ; C.M. Taylor ; T.H.C. Childs ; G. Dalmaz ; Y. Berthier ; L. Flamand ; J.-M. Georges ; A.A. Lubrecht. Elsevier, 1997. pp. 523-531 (Tribology Series).

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title = "Efficient numerical method for various geometries of gas lubricated bearings",

abstract = "This paper discusses the development of a numerical solver for the Reynolds equation in aerodynamic lubricated bearings, utilizing a finite difference method with multigrid. The advantages of the numerical method are that the number of operations and the memory capacity needed are almost proportional to the number of gridpoints involved. It is second order accurate and can cope with various bearing geometries. A survey is also given of the implemented modifications of the Reynolds equation. The efficiency of the method is demonstrated by two examples, namely: the dynamic tracking of the centre of a herringbone grooved journal bearing and the equilibrium position of a hard disk slider.",

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note = "23rd Leeds-Lyon Symposium on Tribology 1996 ; Conference date: 10-09-1996 Through 13-09-1996",

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van der Stegen, RHM & Moes, H 1997, Efficient numerical method for various geometries of gas lubricated bearings. in D Dowson, CM Taylor, THC Childs, G Dalmaz, Y Berthier, L Flamand, J-M Georges & AA Lubrecht (eds), Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK. Tribology Series, vol. 32, Elsevier, pp. 523-531, 23rd Leeds-Lyon Symposium on Tribology 1996, Leeds, United Kingdom, 10/09/96. https://doi.org/10.1016/s0167-8922(08)70479-6

Efficient numerical method for various geometries of gas lubricated bearings. / van der Stegen, R.H.M.; Moes, H.

Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK. ed. / D. Dowson; C.M. Taylor; T.H.C. Childs; G. Dalmaz; Y. Berthier; L. Flamand; J.-M. Georges; A.A. Lubrecht. Elsevier, 1997. p. 523-531 (Tribology Series; Vol. 32).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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N2 - This paper discusses the development of a numerical solver for the Reynolds equation in aerodynamic lubricated bearings, utilizing a finite difference method with multigrid. The advantages of the numerical method are that the number of operations and the memory capacity needed are almost proportional to the number of gridpoints involved. It is second order accurate and can cope with various bearing geometries. A survey is also given of the implemented modifications of the Reynolds equation. The efficiency of the method is demonstrated by two examples, namely: the dynamic tracking of the centre of a herringbone grooved journal bearing and the equilibrium position of a hard disk slider.

AB - This paper discusses the development of a numerical solver for the Reynolds equation in aerodynamic lubricated bearings, utilizing a finite difference method with multigrid. The advantages of the numerical method are that the number of operations and the memory capacity needed are almost proportional to the number of gridpoints involved. It is second order accurate and can cope with various bearing geometries. A survey is also given of the implemented modifications of the Reynolds equation. The efficiency of the method is demonstrated by two examples, namely: the dynamic tracking of the centre of a herringbone grooved journal bearing and the equilibrium position of a hard disk slider.

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van der Stegen RHM, Moes H. Efficient numerical method for various geometries of gas lubricated bearings. In Dowson D, Taylor CM, Childs THC, Dalmaz G, Berthier Y, Flamand L, Georges J-M, Lubrecht AA, editors, Elastohydrodynamics - '96 Fundamentals and Applications in Lubrication and Traction: Proceedings of the 23rd Leeds-Lyon Symposium on Tribology held in the Institute of Tribology, Department of Mechanical Engineering 10-13 September 1996 • The University of Leeds, UK. Elsevier. 1997. p. 523-531. (Tribology Series). doi: 10.1016/s0167-8922(08)70479-6

Efficient numerical method for various geometries of gas lubricated bearings

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