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

  • N. Wang (a1), K.-C. Cha (a1), H.-C. Huang (a2) and C.-R. Hsu (a1)


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.


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1.Wang, N., Chang, S.-H. and Huang, H.-C., “Comparison of Iterative Methods for the Solution of Compressible-Fluid Reynolds EquationJournal of Tribology, 133, pp. 021702.1021702.7 (2011).
2.Wang, N., Chan, C.-W. and Cha, K.-C., “Workstation Computing of Discretized Reynolds EquationsTribology Transactions, 55, pp. 288296 (2012).
3.Brizmer, V. and Kligerman, Y., “A Laser Surface Textured Journal BearingJournal of Tribology, 134, pp. 031702.1031702.9 (2012).
4.Peng, Z. C. and Khonsari, M. M., “Hydrodynamic Analysis of Compliant Foil Bearings with Compressible Air FlowJournal of Tribology, 126, pp. 542546 (2004).
5.Peng, Z. C. and Khonsari, M. M., “On the Limiting Load-Carrying Capacity of Foil BearingsJournal of Tribology, 126, pp. 817818 (2004).
6.Peng, Z. C. and Khonsari, M. M., “A Thermohy-drodynamic Analysis of Foil Journal BearingsJournal of Tribology, 128, pp. 534541 (2006).
7.Ruiz, R. O., Liscia, M. H. D., Medina, L. U. and Díaz, S. E., “Asynchronous Dynamic Coefficients of a Three-Lobe Air BearingJournal of Engineering for Gas Turb ines and Power, 130, pp. 052502.1052502.7 (2008).
8.Lee, D. and Kim, D., “Thermohydrodynamic Analyses of Bump Air Foil Bearings with Detailed Thermal Model of Foil Structures and RotorJournal of Tribology, 132, pp. 021704.1021704.12 (2004).
9.Kim, D., “Parametric Studies on Static and Dynamic Performance of Air Foil Bearings with Different Top Foil Geometries and Bump Stiffness DistributionsJournal of Tribology, 129, pp. 354364 (2007).
10.Sim, K. and Kim, D., “Design of Flexure Pivot Tilting Pads Gas Bearings for High-Speed Oil-Free Mi-croturbomachineryJournal of Tribology, 129, pp. 112119 (2007).
11.Iordanoff, I., Bou-Said, B., Mezianne, A. and Berth-ier, Y., “Effect of Internal Friction in the Dynamic Behavior of Aerodynamic Foil BearingsTribology International, 41, pp. 387395 (2008).
12.Chun, S. M., “Aeration Effects on the Performance of a Turbocharger Journal BearingTribology International, 41, pp. 296306 (2008).
13.Liu, Z.-S., Zhang, G.-H. and XU, H.-J., “Performance Analysis of Rotating Externally Pressurized Air BearingsJournal of Engineering Tribology, 223, pp. 653663 (2009).
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 SystemTribology International, 42, pp. 12061219 (2009).
15.Jiang, X., Wang, J. and Fang, J., “Thermal Elasto-hydrodynamic Lubrication Analysis of Tilting Pad Thrust BearingsJournal of Engineering Tribology, 224, pp. 305-315 (2010).
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 BearingJournal of Engineering Tribology, 225, pp. 5157 (2011).
17.Fu, Y., Ji, J. and Bi, Q., “The Influence of Partially Textured Slider with Oriented Parabolic Grooves on the Behavior of Hydrodynamic LubricationTri-bology Transactions, 55, pp. 210-217 (2012).
18.Lihua, Y., Yanhua, S. and Lie, Y., “Active Control of Unbalance Response of Rotor Systems Supported by Tilting-Pad Gas BearingsJournal of Engineering Tribology, 226, pp. 87-98 (2012).
19.Nabhani, M., El Khlifi, M. and Bou-saïd, B., “Combined on-Newtonian and Viscous Shear Effects on Porous Squeeze Film BehaviorTribology Transactions, 55, pp. 491502 (2012).
20.Pelosi, M. and Ivantysynova, M., “Heat Transfer and Thermal Elastic Deformation Analysis on the Piston/Cylinder Interface of Axial Piston MachinesJournal of Tribology, 134, pp. 041101.1041101.15 (2012).
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 BoreJournal of Engineering Tribology, 226,pp. 284-305 (2012).
22.Feng, K. and Kaneko, S., “Thermohydrodynamic Study of Multiwound Foil Bearing Using Lobatto Point QuadratureJournal of Tribology, 131, pp. 021702.1021702.9 (2009).
23.Feng, K. and Kaneko, S., “Analytical Model of Bump-Type Foil Bearings Using a Link-Spring Structure and a Finite-Element Shell ModelJournal of Tribology, 132, pp. 021706.1021706.11 (2010).
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 BearingTribology Transactions, 56, pp. 126 (2013).
25.Chapman, B., Jost, G. and Pas, R., Using OpenMP: Portable Shared Memory Parallel Programming, The MIT Press, MA (2007).
26.Wang, N. and Chang, S.-H., “Parallel Iterative Solution Schemes for the Analysis of Air Foil BearingsJournal of Mechanics, 28, pp. 413422 (2012).
27.Wang, N., Huang, H.-C. and Hsu, C.-R., “Parallel Optimum Design of Foil Bearing Using Particle Swarm Optimization MethodTribology Transactions, 56, pp. 453460 (2013).
28.Morton, K. W. and Mayers, D. F., Numerical Solution of Partial Differential Equations, The Cambridge University Press, Cambridge, UK (2005).
29.Wang, N., Chang, S.-H. and Huang, H.-C., “Stopping Criterion in Iterative Solution Methods for Reynolds EquationsTribology Transactions, 53,pp. 739-47 (2010).



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