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Efficient and High-Order Explicit Local Time Stepping on Moving DG Spectral Element Meshes
Department of Mathematics, The Florida State University, Tallahassee, USA.ORCID iD: 0000-0002-5902-1522
Department of Mathematics, The Florida State University, Tallahassee, USA.
2015 (English)In: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA / [ed] Robert M. Kirby, Martin Berzins and Jan S. Hesthaven, Cham: Springer, 2015, p. 513-522Chapter in book (Other academic)
Abstract [en]

We outline and extend results for an explicit local time stepping (LTS) strategy designed to operate with the discontinuous Galerkin spectral element method (DGSEM). The LTS procedure is derived from Adams-Bashforth multirate time integration methods. The new results of the LTS method focus on parallelization and reformulation of the LTS integrator to maintain conservation. Discussion is focused on a moving mesh implementation, but the procedures remain applicable to static meshes. In numerical tests, we demonstrate the strong scaling of a parallel, LTS implementation and compare the scaling properties to a parallel, global time stepping (GTS) Runge-Kutta implementation. We also present time-step refinement studies to show that the redesigned, conservative LTS approximations are spectrally accurate in space and have design temporal accuracy.

Place, publisher, year, edition, pages
Cham: Springer, 2015. p. 513-522
Series
Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 106
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-156868DOI: 10.1007/978-3-319-19800-2_48ISBN: 9783319197999 (print)ISBN: 9783319198002 (electronic)OAI: oai:DiVA.org:liu-156868DiVA, id: diva2:1315738
Available from: 2019-05-14 Created: 2019-05-14 Last updated: 2019-05-15

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Winters, Andrew R
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CiteExportLink to record
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Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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