Load-Balanced Local Time Stepping for Large-Scale Wave Propagation

Max Rietmann, Daniel Peter, Olaf Schenk, Bora Ucar, Marcus Grote

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

13 Scopus citations

Abstract

In complex acoustic or elastic media, finite element meshes often require regions of refinement to honour external or internal topography, or small-scale features. These localized smaller elements create a bottleneck for explicit time-stepping schemes due to the Courant-Friedrichs-Lewy stability condition. Recently developed local time stepping (LTS) algorithms reduce the impact of these small elements by locally adapting the time-step size to the size of the element. The recursive, multi-level nature of our LTS scheme introduces an additional challenge, as standard partitioning schemes create a strong load imbalance across processors. We examine the use of multi-constraint graph and hypergraph partitioning tools to achieve effective, load-balanced parallelization. We implement LTS-Newmark in the seismology code SPECFEM3D and compare performance and scalability between different partitioning tools on CPU and GPU clusters using examples from computational seismology.

Original languageEnglish (US)
Title of host publicationProceedings - 2015 IEEE 29th International Parallel and Distributed Processing Symposium, IPDPS 2015
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages925-935
Number of pages11
ISBN (Electronic)9781479986484
DOIs
StatePublished - Jul 17 2015
Event29th IEEE International Parallel and Distributed Processing Symposium, IPDPS 2015 - Hyderabad, India
Duration: May 25 2015May 29 2015

Publication series

NameProceedings - 2015 IEEE 29th International Parallel and Distributed Processing Symposium, IPDPS 2015

Other

Other29th IEEE International Parallel and Distributed Processing Symposium, IPDPS 2015
CountryIndia
CityHyderabad
Period05/25/1505/29/15

Keywords

  • Graph Partitioning
  • Hypergraph Partitioning
  • Load Balancing
  • Local Time Stepping
  • Wave Propagation

ASJC Scopus subject areas

  • Computer Networks and Communications

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