Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-12T22:53:55.216Z Has data issue: false hasContentIssue false
  • English
  • Français

Effect of CPU Cache Size on OpenMP Computing Performance in Fluid-Film Lubrication Analysis

Published online by Cambridge University Press:  12 August 2014

N. Wang ,
K.-C. Cha ,
H.-C. Huang  and
C.-R. Hsu
N. Wang*
Affiliation:
Department of Mechanical Engineering, Chang Gung University, Tao-Yuan, Taiwan
K.-C. Cha
Affiliation:
Department of Mechanical Engineering, Chang Gung University, Tao-Yuan, Taiwan
H.-C. Huang
Affiliation:
Mechanical and Systems Research Laboratories, Industrial Technology Research Institute, Tai-Chung, Taiwan
C.-R. Hsu
Affiliation:
Department of Mechanical Engineering, Chang Gung University, Tao-Yuan, Taiwan
*
*Corresponding author (nenzi@mail.cgu.edu.tw)
Get access

Abstract

The growth of the size of cache and the number of processor cores in modern CPUs is the major factor in advancing the computing performance of modern machines. The effect of CPU cache size in multicore computers on performance, however, has attracted little attention in lubrication and engineering analyses. In this study, the effect of cache size on the computational performance of two parallel iterative methods in solving two Reynolds equations is examined. Four computers, with CPU cache size from 4 to 40 MB and the number of processor cores from 4 to 16, were used. The sizes of the numerical grid were selected to simulate large gridwork (256 × 256) to small gridwork (2048 × 2048) tasks. It is found that the size of CPU cache is a major factor influencing the parallel efficiency in using the RBSOR method. On the other hand, the SPSOR method obtains much higher parallel efficiency than the RBSOR for medium-grained tasks, regardless of the size of CPU cache. The use of the SPSOR can, therefore, provide a much better parallel computing performance than the RBSOR in the cases of having a large number of grids or in a system with limited CPU cache.

Keywords

Reynolds equationFluid-film lubricationParallel computing
Type
Research Article
Information
Journal of Mechanics , Volume 31 , Issue 2 , April 2015 , pp. 123 - 129
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2014 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1.Wang, N., Chang, S.-H. and Huang, H.-C., “Comparison of Iterative Methods for the Solution of Compressible-Fluid Reynolds Equation” Journal of Tribology, 133, pp. 021702.1–021702.7 (2011).CrossRefGoogle Scholar
2.Wang, N., Chan, C.-W. and Cha, K.-C., “Workstation Computing of Discretized Reynolds Equations” Tribology Transactions, 55, pp. 288–296 (2012).CrossRefGoogle Scholar
3.Brizmer, V. and Kligerman, Y., “A Laser Surface Textured Journal Bearing” Journal of Tribology, 134, pp. 031702.1–031702.9 (2012).Google Scholar
4.Peng, Z. C. and Khonsari, M. M., “Hydrodynamic Analysis of Compliant Foil Bearings with Compressible Air Flow” Journal of Tribology, 126, pp. 542–546 (2004).Google Scholar
5.Peng, Z. C. and Khonsari, M. M., “On the Limiting Load-Carrying Capacity of Foil Bearings” Journal of Tribology, 126, pp. 817–818 (2004).Google Scholar
6.Peng, Z. C. and Khonsari, M. M., “A Thermohy-drodynamic Analysis of Foil Journal Bearings” Journal of Tribology, 128, pp. 534–541 (2006).CrossRefGoogle Scholar
7.Ruiz, R. O., Liscia, M. H. D., Medina, L. U. and Díaz, S. E., “Asynchronous Dynamic Coefficients of a Three-Lobe Air Bearing” Journal of Engineering for Gas Turb ines and Power, 130, pp. 052502.1–052502.7 (2008).Google Scholar
8.Lee, D. and Kim, D., “Thermohydrodynamic Analyses of Bump Air Foil Bearings with Detailed Thermal Model of Foil Structures and Rotor” Journal of Tribology, 132, pp. 021704.1–021704.12 (2004).Google Scholar
9.Kim, D., “Parametric Studies on Static and Dynamic Performance of Air Foil Bearings with Different Top Foil Geometries and Bump Stiffness Distributions” Journal of Tribology, 129, pp. 354–364 (2007).CrossRefGoogle Scholar
10.Sim, K. and Kim, D., “Design of Flexure Pivot Tilting Pads Gas Bearings for High-Speed Oil-Free Mi-croturbomachinery” Journal of Tribology, 129, pp. 112–119 (2007).CrossRefGoogle Scholar
11.Iordanoff, I., Bou-Said, B., Mezianne, A. and Berth-ier, Y., “Effect of Internal Friction in the Dynamic Behavior of Aerodynamic Foil Bearings” Tribology International, 41, pp. 387–395 (2008).Google Scholar
12.Chun, S. M., “Aeration Effects on the Performance of a Turbocharger Journal Bearing” Tribology International, 41, pp. 296–306 (2008).CrossRefGoogle Scholar
13.Liu, Z.-S., Zhang, G.-H. and XU, H.-J., “Performance Analysis of Rotating Externally Pressurized Air Bearings” Journal of Engineering Tribology, 223, pp. 653–663 (2009).Google Scholar
14.Yang, D. W., Chen, C. H., Kang, Y., Hwang, R. M. and Shyr, S. S., “Influence of Orifices on Stability of Rotor-Aerostatic Bearing System” Tribology International, 42, pp. 1206–1219 (2009).Google Scholar
15.Jiang, X., Wang, J. and Fang, J., “Thermal Elasto-hydrodynamic Lubrication Analysis of Tilting Pad Thrust Bearings” Journal of Engineering Tribology, 224, pp. 305-315 (2010).Google Scholar
16.Ahmed, S. A., Fillon, M. and Maspeyrot, P., “Influence of Pad and Runner Mechanical Deformations on the Performance of a Hydrodynamic Fixed Geometry Thrust Bearing” Journal of Engineering Tribology, 225, pp. 51–57 (2011).Google Scholar
17.Fu, Y., Ji, J. and Bi, Q., “The Influence of Partially Textured Slider with Oriented Parabolic Grooves on the Behavior of Hydrodynamic Lubrication” Tri-bology Transactions, 55, pp. 210-217 (2012).Google Scholar
18.Lihua, Y., Yanhua, S. and Lie, Y., “Active Control of Unbalance Response of Rotor Systems Supported by Tilting-Pad Gas Bearings” Journal of Engineering Tribology, 226, pp. 87-98 (2012).Google Scholar
19.Nabhani, M., El Khlifi, M. and Bou-saïd, B., “Combined on-Newtonian and Viscous Shear Effects on Porous Squeeze Film Behavior” Tribology Transactions, 55, pp. 491–502 (2012).Google Scholar
20.Pelosi, M. and Ivantysynova, M., “Heat Transfer and Thermal Elastic Deformation Analysis on the Piston/Cylinder Interface of Axial Piston Machines” Journal of Tribology, 134, pp. 041101.1–041101.15 (2012).Google Scholar
21.Rahmani, R., Theodossiades, S., Rahnejat, H. and Fitzsimons, B., “Transient Elastohydrodynamic Lubrication of Rough New or Worn Piston Compression Ring Conjunction with an Out-of-Round Cylinder Bore” Journal of Engineering Tribology, 226,pp. 284-305 (2012).Google Scholar
22.Feng, K. and Kaneko, S., “Thermohydrodynamic Study of Multiwound Foil Bearing Using Lobatto Point Quadrature” Journal of Tribology, 131, pp. 021702.1–021702.9 (2009).Google Scholar
23.Feng, K. and Kaneko, S., “Analytical Model of Bump-Type Foil Bearings Using a Link-Spring Structure and a Finite-Element Shell Model” Journal of Tribology, 132, pp. 021706.1–021706.11 (2010).CrossRefGoogle Scholar
24.Moldovan, S. I., Braun, M. J. and Balasoiu, A. M., “A Three-Dimensional Parametric Study and Numerical/Experimental Flow Visualization of a Six-Pocket Hydrostatic Journal Bearing” Tribology Transactions, 56, pp. 1–26 (2013).Google Scholar
25.Chapman, B., Jost, G. and Pas, R., Using OpenMP: Portable Shared Memory Parallel Programming, The MIT Press, MA (2007).Google Scholar
26.Wang, N. and Chang, S.-H., “Parallel Iterative Solution Schemes for the Analysis of Air Foil Bearings” Journal of Mechanics, 28, pp. 413–422 (2012).Google Scholar
27.Wang, N., Huang, H.-C. and Hsu, C.-R., “Parallel Optimum Design of Foil Bearing Using Particle Swarm Optimization Method” Tribology Transactions, 56, pp. 453–460 (2013).CrossRefGoogle Scholar
28.Morton, K. W. and Mayers, D. F., Numerical Solution of Partial Differential Equations, The Cambridge University Press, Cambridge, UK (2005).CrossRefGoogle Scholar
29.Wang, N., Chang, S.-H. and Huang, H.-C., “Stopping Criterion in Iterative Solution Methods for Reynolds Equations” Tribology Transactions, 53,pp. 739-47 (2010).CrossRefGoogle Scholar