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Research Papers: Micro-Nano Tribology

A Local Adaptive Multigrid Control Volume Method for the Air Bearing Problem in Hard Disk Drives

[+] Author and Article Information
Liping Li

Graduate Student Research
e-mail: llping@berkeley.edu

David B. Bogy

Professor
e-mail: dbogy@berkeley.edu
Computer Mechanics Laboratory,
Department of Mechanical Engineering,
University of California,
Berkeley, CA 94720

Contributed by the Tribology Division of ASME for publication in the Journal of Tribology. Manuscript received August 14, 2012; final manuscript received January 31, 2013; published online March 28, 2013. Assoc. Editor: Dae-Eun Kim.

J. Tribol 135(3), 032001 (Mar 28, 2013) (7 pages) Paper No: TRIB-12-1127; doi: 10.1115/1.4023804 History: Received August 14, 2012; Revised January 31, 2013

A new, local-adaptive, grid-generating algorithm is developed and integrated with the multigrid control volume method to simulate the steady flying state of the air bearing sliders in hard disk drives (HDDs) accurately and efficiently. Local finer meshes (mesh dimension decreases to half) are created on the nodes of the current finest grids that have pressure gradients or geometry gradients larger than a predefined tolerance after the pressure distribution has been obtained on the initial uniform mesh. In this way, the pressure- or geometry-sensitive regions have higher resolution, leading to more accurate results without inefficiently larger meshes. Two sliders are used to demonstrate the applicability of this method. It is found that this new, local-adaptive, grid-generating method improves the stability and efficiency of the simulation scheme.

Copyright © 2013 by ASME
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References

Figures

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Fig. 1

Illustration of the control volume (after Patankar [10])

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Fig. 2

A typical two consecutive mesh structure

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Fig. 3

A flow chart of local adaptive multigrid CVM

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Fig. 4

Minimum flying height with different grid size using Lu's method

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Fig. 16

Corresponding local mesh for r = 0.2 in Fig. 14

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Fig. 15

Minimum flying height with different tolerances (geometry criterion for C_ slider)

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Fig. 14

Corresponding local mesh for r = 0.2 in Fig. 12

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Fig. 13

Minimum flying height with different tolerances (pressure criterion for C_ slider)

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Fig. 12

Flying height and computation time with different grid size using Lu's method without adaptive mesh

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Fig. 11

Final mesh with grid size 497 for C_slider using Lu's method

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Fig. 10

Flying height and computation time with different grid size using Lu's method

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Fig. 9

Corresponding local mesh for r = 0.7 in Fig. 7

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Fig. 8

Minimum flying height and its error for different tolerances (geometry criterion)

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Fig. 6

Pressure profile and corresponding local mesh for r = 0.7 in Fig. 5

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Fig. 5

Minimum flying height and its error for different tolerances (pressure criterion)

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