Abstract
In this paper, a comprehensive performance review of an MPI-based high-order three-dimensional spectral element method C++ toolbox is presented. The focus is put on the performance evaluation of several aspects with a particular emphasis on the parallel efficiency. The performance evaluation is analyzed with help of a time prediction model based on a parameterization of the application and the hardware resources. A tailor-made CFD computation benchmark case is introduced and used to carry out this review, stressing the particular interest for clusters with up to 8192 cores. Some problems in the parallel implementation have been detected and corrected. The theoretical complexities with respect to the number of elements, to the polynomial degree, and to communication needs are correctly reproduced. It is concluded that this type of code has a nearly perfect speed up on machines with thousands of cores, and is ready to make the step to next-generation petaflop machines.
This is a preview of subscription content, log in via an institution to check access.
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
The OpenSPECULOOS project, http://sourceforge.net/projects/openspeculoos/
Van Kemenade, V.: Incompressible fluid flow simulation by the spectral element method, Tech. rep., “Annexe technique projet FN 21-40’512.94”, IMHEF–DGM, Swiss Federal Institute of Technology, Lausanne (1996)
Dubois-Pèlerin, Y., Van Kemenade, V., Deville, M.: An object-oriented toolbox for spectral element analysis. J. Sci. Comput. 14, 1–29 (1999)
Bouffanais, R.: Simulation of shear-driven flows: Transition with a free surface and confined turbulence, EPFL, Thèse no. 3837 (2007)
Deville, M.O., Fischer, P.F., Mund, E.H.: High-order methods for incompressible fluid flow. Cambridge University Press, Cambridge (2002)
Fischer, P.F., Patera, A.T.: Parallel spectral element solution of the Stokes problem. J. Comput. Phys. 92, 380–421 (1991)
Bouffanais, R., Deville, M.O., Leriche, E.: Large-eddy simulation of the flow in a lid-driven cubical cavity. Phys. Fluids 19, Art. 055108 (2007)
Couzy, W., Deville, M.O.: Spectral-element preconditioners for the Uzawa pressure operator applied to incompressible flows. J. Sci. Comput. 9, 107–112 (1994)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Bosshard, C. et al. (2009). Computational Performance of a Parallelized Three-Dimensional High-Order Spectral Element Toolbox. In: Dou, Y., Gruber, R., Joller, J.M. (eds) Advanced Parallel Processing Technologies. APPT 2009. Lecture Notes in Computer Science, vol 5737. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03644-6_25
Download citation
DOI: https://doi.org/10.1007/978-3-642-03644-6_25
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03643-9
Online ISBN: 978-3-642-03644-6
eBook Packages: Computer ScienceComputer Science (R0)Springer Nature Proceedings Computer Science
