Solving the Klein-Gordon equation using Fourier spectral methods: a benchmark test for computer performance

Aseeri, S.; Batra�ev, O.; Icardi, M.; Leu, B.; Liu, A.; Li, N.; Muite, B.K.; M�ller, E.; Palen, B.; Quell, M.; Servat, H.; Sheth, P.; Speck, R.; Van Moer, M.; Vienne, J.

Abstract

The cubic Klein-Gordon equation is a simple but non-trivial partial differential equation whose numerical solution has the main building blocks required for the solution of many other partial differential equations. In this study, the library 2DE-COMP&FFT is used in a Fourier spectral scheme to solve the Klein-Gordon equation and strong scaling of the code is examined on thirteen different machines for a problem size of 512 3. The results are useful in assessing likely performance of other parallel fast Fourier transform based programs for solving partial differential equations. The problem is chosen to be large enough to solve on a workstation, yet also
of interest to solve quickly on a supercomputer, in particular for parametric studies. Unlike the Linpack benchmark, a high ranking will not be obtained by simply building a bigger computer.

Citation

Aseeri, S., Batrašev, O., Icardi, M., Leu, B., Liu, A., Li, N., …Vienne, J. (2015). Solving the Klein-Gordon equation using Fourier spectral methods: a benchmark test for computer performance. In HPC '15 Proceedings of the Symposium on High Performance Computing, 182-191

• Conference Name: HPC '15 Symposium on High Performance Computing
• Start Date: Apr 12, 2015
• End Date: Apr 15, 2015
• Acceptance Date: Feb 19, 2015
• Online Publication Date: Apr 12, 2015
• Publication Date: Apr 12, 2015
• Deposit Date: Mar 2, 2018
• Publisher: Association for Computing Machinery (ACM)
• Peer Reviewed: Peer Reviewed
• Pages: 182-191
• Book Title: HPC '15 Proceedings of the Symposium on High Performance Computing
• ISBN: 978-1-5108-0101-1
• Public URL: https://nottingham-repository.worktribe.com/output/1126609
• Publisher URL: https://dl.acm.org/citation.cfm?id=2872622