0
TECHNICAL PAPERS

Unstructured Adaptive Triangular Mesh Generation Techniques and Finite Volume Schemes for the Air Bearing Problem in Hard Disk Drives

[+] Author and Article Information
Lin Wu, D. B. Bogy

Computer Mechanics Laboratory, Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Tribol 122(4), 761-770 (Apr 17, 2000) (10 pages) doi:10.1115/1.1310371 History: Received September 30, 1999; Revised April 17, 2000
Copyright © 2000 by ASME
Your Session has timed out. Please sign back in to continue.

References

Bowyer,  A., 1981, “Computing the Dirichlet Tessellations,” Comput. J., 24, No. 2, pp. 162–166.
Watson,  D. F., 1981, “Computing the N-Dimensional Delaunay Tesselation with Application to Voronoi Polytopes,” Comput. J., 24, No. 2, pp. 167–172.
Sloan,  S. W., 1987, “A Fast Algorithm for Constructing Delaunay Triangulations in the Plane,” Adv. Eng. Softw., 9, pp. 34–55.
Rebay,  S., 1993, “Efficient Unstructured Mesh Generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm,” J. Comput. Phys., 106, pp. 125–138.
Ruppert,  J., 1995, “A Delaunay Refinement Algorithm for Quality 2-Dimensional Mesh Generation,” J. Algorithms, 18, pp. 548–585.
Rivara,  M., and Inostroza,  P., 1997, “Using Longest-side Bisection Techniques for the Automatic Refinement of Delaunay Triangulations,” Int. J. Numer. Methods Eng., 40, pp. 581–597.
White,  J. W., and Nigam,  A., 1980, “A Factored Implicit Scheme for the Numerical Solution of the Reynolds Equation at Very Low Spacing,” ASME J. Lubr. Technol., 102, pp. 80–85.
Lu, S., 1997, “Numerical Simulation of Slider Air Bearings,” Doctoral dissertation, Department of Mechanical Engineering, University of California, Berkeley, CA.
Garcia-Suarez, C., Bogy, D. B., and Talke, F. E., 1984, “Use of an Upwind Finite Element Scheme for Air Bearing Calculations,” ASLE SP-16, pp. 90–96.
Thompson, J. F., Thames, F. C., and Mastin, C. W., 1977, “Boundary-Fitted Curvilinear Coordinate Systems for the Solution of Partial Differential Equations on Fields Containing Any Number of Arbitrary Two-Dimensional Bodies,” NASA CR-2729.
Patankar, S. V., 1980, Numerical Heat Transfer and Fluid Flow, McGraw-Hill, New York.
Brandt,  A., 1977, “Multi-Level Adaptive Solutions to Boundary Value Problems,” Math. Comput., 31, pp. 333–390.
Mavriplis, D., and Jameson, A., 1987, “Multigrid Solution of the Two-Dimensional Euler Equations on Unstructured Triangular Meshes,” AIAA Paper 87-0353.
Dennis, J. E., and Schnabel, R. B., 1983, Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Englewood Cliffs, New Jersey.
Wu,  L., and Bogy,  D. B., 1999, “Unstructured Triangular Mesh Generation Techniques and a Finite Volume Numerical Scheme for Slider Air Bearing Simulation with Complex Shaped Rails,” IEEE Trans. Magn., 35, pp. 2421–2423.
Lawson, C. L., 1977, Mathematical Software III, Academic Press, New York, pp. 161–194.
Rivara,  M., 1997, “New Longest-edge Algorithms for the Refinement and/or Improvement of Unstructured Triangulations,” Int. J. Numer. Methods Eng., 40, pp. 3313–3324.
Burgdorfer,  A., 1959, “The Influence of the Molecular Mean Free Path on the Performance of Hydrodynamic Gas Lubricated Bearings,” ASME J. Basic Eng., 81, pp. 94–100.
Hsia,  Y. T., and Domoto,  G. A., 1983, “An Experimental Investigation of Molecular Rarefaction Effects in Gas Lubricated Bearings at Ultra-Low Clearances,” ASME J. Lubr. Technol., 105, pp. 120–130.
Fukui,  S., and Kaneko,  R., 1988, “A Database for Interpolation of Poiseuille Flow Rates for High Knudsen Number Lubrication Problems,” ASME J. Tribol., 110, pp. 335–341.
Van der Stegen,  R. H. M., and Moes,  H., 1996, “Efficient Numerical Method for Various Geometries of Gas Lubricated Bearings,” Leeds Lyon Conference on Tribology, Elseviers Tribology Series, 32, Elsevier Science Publishing Co., Inc., New York, pp. 523–531.
Rivara,  M. C., 1989, “Selective Refinement/Derefinement Algorithms for Sequences of Nested Triangulations,” Int. J. Numer. Methods Eng., 28, pp. 2889–2906.

Figures

Grahic Jump Location
The steady state pressure contour of the solution by the 18145 nodes triangular mesh solver
Grahic Jump Location
The grid convergence comparison of pitch angle (μRad)
Grahic Jump Location
The grid convergence comparison of roll angle (μRad)
Grahic Jump Location
The simulation time as a function of node number
Grahic Jump Location
The first level conforming mesh with 656 nodes
Grahic Jump Location
The second level mesh with 4108 nodes
Grahic Jump Location
The third level mesh before mesh adaptation with 12642 nodes
Grahic Jump Location
The third level mesh after mesh adaptation with 18145 nodes
Grahic Jump Location
The steady state pressure contour of the solution by the 148225 nodes (385×385) rectangular mesh solver
Grahic Jump Location
The convergence history of iteration on a single mesh and multi-grid iteration
Grahic Jump Location
The grid convergence comparison of nominal flying height (NM)
Grahic Jump Location
Grid restriction operator and residue distribution operator
Grahic Jump Location
The IBM Travelstar slider with slight modification (MM)
Grahic Jump Location
NSIC load/unload slider (MM)
Grahic Jump Location
Delaunay triangulation and the dual Voronoi control volume
Grahic Jump Location
The grid convergence comparison of nominal flying height (NM) of the NSIC load/unload slider
Grahic Jump Location
The simulation time as a function of node number for the NSIC load/unload slider

Tables

Errata

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In