Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method

Handle URI:
http://hdl.handle.net/10754/333613
Title:
Optimized low-order explicit Runge-Kutta schemes for high- order spectral difference method
Authors:
Parsani, Matteo ( 0000-0001-7300-1280 ) ; Ketcheson, David I. ( 0000-0002-1212-126X ) ; Deconinck, Willem
Abstract:
Optimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Numerical Mathematics Group
Publisher:
University of Oulu
Journal:
Proceedings of the 11th Finnish Mechanics Days
Issue Date:
2012
Type:
Conference Paper
Additional Links:
http://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdf
Appears in Collections:
Conference Papers; Numerical Mathematics Group; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorParsani, Matteoen
dc.contributor.authorKetcheson, David I.en
dc.contributor.authorDeconinck, Willemen
dc.date.accessioned2014-11-04T08:52:02Z-
dc.date.available2014-11-04T08:52:02Z-
dc.date.issued2012en
dc.identifier.urihttp://hdl.handle.net/10754/333613en
dc.description.abstractOptimal explicit Runge-Kutta (ERK) schemes with large stable step sizes are developed for method-of-lines discretizations based on the spectral difference (SD) spatial discretization on quadrilateral grids. These methods involve many stages and provide the optimal linearly stable time step for a prescribed SD spectrum and the minimum leading truncation error coefficient, while admitting a low-storage implementation. Using a large number of stages, the new ERK schemes lead to efficiency improvements larger than 60% over standard ERK schemes for 4th- and 5th-order spatial discretization.en
dc.language.isoenen
dc.publisherUniversity of Ouluen
dc.relation.urlhttp://www.oulu.fi/mekapaivat2012/meka2012_proceedings.pdfen
dc.subjectOptimized explicit Runge-Kuttaen
dc.subjectHigh-order spectral difference methoden
dc.subjectWave propagationen
dc.titleOptimized low-order explicit Runge-Kutta schemes for high- order spectral difference methoden
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentNumerical Mathematics Groupen
dc.identifier.journalProceedings of the 11th Finnish Mechanics Daysen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionVrije Universiteit Brussel, Department of Mechanical Engineering, , Pleinlaan 2, 1050 Brussels. Belgiumen
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