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High-order 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.
2014 (English)In: Journal of Scientific Computing, ISSN 0885-7474, E-ISSN 1573-7691, Vol. 58, no 1, p. 176-202Article in journal (Refereed) Published
Abstract [en]

We derive and evaluate an explicit local time stepping (LTS) integration for the discontinuous Galerkin spectral element method (DGSEM) on moving meshes. The LTS procedure is derived from Adams-Bashforth multirate time integration methods. We also present speedup and memory estimates, which show that the explicit LTS integration scales well with problem size. Time-step refinement studies with static and moving meshes show that the approximations are spectrally accurate in space and have design temporal accuracy. The numerical tests validate theoretical estimates that the LTS procedure can reduce computational cost by as much as an order of magnitude for time accurate problems.

Place, publisher, year, edition, pages
Springer, 2014. Vol. 58, no 1, p. 176-202
Keywords [en]
Discontinuous Galerkin Spectral Element Method, DGSEM, Moving Mesh, Arbitrary Lagrangian-Eulerian, Multirate Time Integration, Conservation Laws
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-156870DOI: 10.1007/s10915-013-9730-zISI: 000329240400008Scopus ID: 2-s2.0-84892604924OAI: oai:DiVA.org:liu-156870DiVA, id: diva2:1315736
Available from: 2019-05-14 Created: 2019-05-14 Last updated: 2019-05-21Bibliographically approved

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  • apa
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