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

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

Authors

S. Aseeri

O. Batrašev

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Dr MATTEO ICARDI pmzmi1@exmail.nottingham.ac.uk
Assistant Professor in Appliedmathematics

B. Leu

A. Liu

N. Li

B.K. Muite

E. Müller

B. Palen

M. Quell

H. Servat

P. Sheth

R. Speck

M. Van Moer

J. Vienne



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