Abstract
We have addressed in this paper the implementation of red-black multigrid smoothers on high-end microprocessors. Most of the previous work about this topic has been focused on cache memory issues due to its tremendous impact on performance. In this paper, we have extended these studies taking Simultaneous Multithreading (SMT) into account. With the introduction of SMT, new possibilities arise, which makes a revision of the different alternatives highly advisable. A new strategy is proposed that focuses on inter-thread sharing to tolerate the increasing penalties caused by memory accesses. Performance results on an IBM’s Power5 based system reveal that our alternative scheme can compete with and even improve sophisticated schemes based on tailored loop fusion and tiling transformations aimed at improving temporal locality.
This work has been supported by the Spanish research grants TIC 2002-750 and TIN 2005-5619.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adams, M.F., et al.: Parallel multigrid smoothing: polynomial versus Gauss-Seidel. J. Comp. Phys. 188(2), 593–610 (2003)
Chow, E., et al.: A survey of parallelization techniques for multigrid solvers. Technical report (2004)
Friedrich-Alexander University Erlangen-Nuremberg. Department of Computer Science 10. DIME project. Available at http://www10.informatik.uni-erlangen.de/Research/Projects/DiME-new
Douglas, C.C., et al.: Cache Optimization for Structured and Unstructured Grid Multigrid. Electronic Transactions on Numerical Analysis (ETNA) 10, 21–40 (2000)
Hülsemann, F., et al.: Parallel geometric multigrid. Lecture Notes in Computer Science and Engineering 51, 165–208 (2005)
Kalla, R.N., Sinharoy, B., Tendler, J.M.: IBM Power5 chip: A dual-core multithreaded processor. IEEE Micro 24(2), 40–47 (2004)
Kowarschik, M., et al.: Cache-Aware Multigrid Methods for Solving Poisson’s Equation in Two Dimensions. Computing 64, 381–399 (2000)
Kowarschik, M., Weiß, C., Rüde, U.: Data Layout Optimizations for Variable Coefficient Multigrid. In: Sloot, P.M.A., et al. (eds.) Computational Science - ICCS 2002. LNCS, vol. 2331, pp. 642–651. Springer, Heidelberg (2002)
Lo, J.L., et al.: Tuning compiler optimizations for simultaneous multithreading. In: International Symposium on Microarchitecture, pp. 114–124 (1997), citeseer.ist.psu.edu/lo97tuning.html
Mitchell, W.: Parallel adaptive multilevel methods with full domain partitions. App. Num. Anal. and Comp. Math 1, 36–48 (2004)
Prieto, M., et al.: A parallel multigrid solver for viscous flows on anisotropic structured grids. Parallel Computing 29(7), 907–923 (2003)
Prieto, M., et al.: Parallel multigrid for anisotropic elliptic equations. J. Parallel Distrib. Comput. 61(1), 96–114 (2001)
Quinlan, D., Bassetti, F., Keyes, D.: Temporal locality optimizations for stencil operations within parallel object-oriented scientific frameworks on cache-based architectures. In: Proceedings of the PDCS’98 Conference (July 1998)
Rüde, U.: Iterative Algorithms on High Performance Architectures. In: Lengauer, C., Griebl, M., Gorlatch, S. (eds.) Euro-Par 1997. LNCS, vol. 1300, pp. 26–29. Springer, Heidelberg (1997)
Thomas, J.L., Diskin, B., Brandt, A.: Textbook multigrid efficiency for fluid simulations. Annual Review of Fluid Mechanics 35, 317–340 (2003)
Trottenberg, U., Oosterlee, C., Schller, A.: Multigrid. Academic Press, London (2000)
Tullsen, D.M., Eggers, S.J., Levy, H.M.: Simultaneous multithreading: Maximizing on-chip parallelism. In: 25 Years ISCA: Retrospectives and Reprints, pp. 533–544 (1998)
Weiß, C., et al.: Memory Characteristics of Iterative Methods. In: Proc. of the ACM/IEEE Supercomputing Conf. (SC99), Portland, Oregon, USA, IEEE Computer Society Press, Los Alamitos (1999)
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
García, C., Prieto, M., Setoain, J., Tirado, F. (2007). Enhancing the Performance of Multigrid Smoothers in Simultaneous Multithreading Architectures. In: Daydé, M., Palma, J.M.L.M., Coutinho, Á.L.G.A., Pacitti, E., Lopes, J.C. (eds) High Performance Computing for Computational Science - VECPAR 2006. VECPAR 2006. Lecture Notes in Computer Science, vol 4395. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-71351-7_34
Download citation
DOI: https://doi.org/10.1007/978-3-540-71351-7_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-71350-0
Online ISBN: 978-3-540-71351-7
eBook Packages: Computer ScienceComputer Science (R0)