Skip to main content

Application of FDEM on the Numerical Simulation of Journal Bearings with Turbulence and Inertia Effects

  • Conference paper
  • First Online:
High Performance Computing in Science and Engineering '09

Abstract

For the numerical simulation of journal bearings, current software solutions use the Reynolds differential equation where inertia terms are not included. The Finite Difference Element Method (FDEM) is a black-box solver for nonlinear systems of elliptic and parabolic partial differential equations (PDEs). Based on the general black-box we implement the Reynolds equation with inertia terms for the simulation of a journal bearing. We can easily implement different models for the turbulence factors and the dynamic viscosity, and we also consider cavitation. We give results for different Reynolds numbers, and we also give a global error estimate for each of the cases. This shows the quality of the numerical solution and is a unique feature of FDEM.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 149.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 199.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 199.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Similar content being viewed by others

References

  1. H. Schlichting, K. Gersten, Grenzschicht-Theorie. Springer-Verlag, 9. Auflage

    Google Scholar 

  2. O. Reynolds, On the Theory of Lubrication and its Application to Mr. Beauchamps Tower’s Experiments, including an Experimental Determination of the Viscosity of Olive Oils. Phil. Trans., 177, pp. 157-234

    Google Scholar 

  3. G.G. Hirs, A Bulk-Flow Theory for Turbulence in Lubricant Films. ASME Journal of Lubrication Technology, pp. 137-146, 1973

    Google Scholar 

  4. L. San Andrés, Turbulent Hybrid Bearings With Fluid Inertia Effects. ASME Journal of Tribology, Vol. 112, pp. 699-707, 1990

    Article  Google Scholar 

  5. C. Barus, Isothermals, Isopiestics and Isometrics relative to Viscosity. Am. J. of Sience, 45, pp. 87-96, 1893

    Google Scholar 

  6. C.J.A. Roelands, Correlational Aspects of the Viscosity-Temperature-Pressure Relationship of Lubricating Oils. Ph.D. Thesis, Technical University Delft, The Netherlands, 1966

    Google Scholar 

  7. D. Dowson, G.R. Higginson, Elastohydrodynamic Lubrication, The Fundamentals of Roller and Gear Lubrication. Pergamon Press, Oxford, Great Britain, 1997

    Google Scholar 

  8. W. Schönauer, T. Adolph, FDEM: The Evolution and Application of the Finite Difference Element Method (FDEM) Program Package for the Solution of Partial Differential Equations, 2005, available at http://www.rz.uni-karlsruhe.de/rz/docs/FDEM/Literatur/fdem.pdf

  9. T. Adolph, The Parallelization of the Mesh Refinement Algorithm in the Finite Difference Element Method, Doctoral Thesis, 2005, available at http://www.rz.uni-karlsruhe.de/rz/docs/FDEM/Literatur/par_mra_fdem.pdf

  10. LINSOL, see http://www.rz.uni-karlsruhe.de/rd/linsol.php

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Torsten Adolph .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Adolph, T., Schönauer, W., Koch, R., Knoll, G. (2010). Application of FDEM on the Numerical Simulation of Journal Bearings with Turbulence and Inertia Effects. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering '09. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04665-0_28

Download citation

Publish with us

Policies and ethics