DC FieldValueLanguage
dc.contributor.authorRuprecht, Daniel-
dc.contributor.authorSpeck, Robert-
dc.date.accessioned2021-10-14T09:58:04Z-
dc.date.available2021-10-14T09:58:04Z-
dc.date.issued2016-08-16-
dc.identifier.citationSIAM Journal on Scientific Computing 38 (4): A2535-A2557 (2016-08-16)de_DE
dc.identifier.issn1064-8275de_DE
dc.identifier.urihttp://hdl.handle.net/11420/10521-
dc.description.abstractThe paper investigates a variant of semi-implicit spectral deferred corrections (SISDC) in which the stiff, fast dynamics correspond to fast propagating waves ("fast-wave slow-wave problem"). We show that for a scalar test problem with two imaginary eigenvalues i λfₐst, i λslₒw, having Δ t (| λfₐst | + | λslₒw | ) < 1 is sufficient for the fast-wave slow-wave SDC (FWSW-SDC) iteration to converge and that in the limit of infinitely fast waves the convergence rate of the non-split version is retained. Stability function and discrete dispersion relation are derived and show that the method is stable for essentially arbitrary fast-wave CFL numbers as long as the slow dynamics are resolved. The method causes little numerical diffusion and its semi-discrete phase speed is accurate also for large wave number modes. Performance is studied for an acoustic-advection problem and for the linearised Boussinesq equations, describing compressible, stratified flow. FWSW-SDC is compared to a diagonally implicit Runge-Kutta (DIRK) and IMEX Runge-Kutta (IMEX) method and found to be competitive in terms of both accuracy and cost.en
dc.language.isoende_DE
dc.relation.ispartofSIAM journal on scientific computingde_DE
dc.subjectAcoustic advectionde_DE
dc.subjectEuler equationsde_DE
dc.subjectFast-wave slow-wave splittingde_DE
dc.subjectSpectral deferred correctionsde_DE
dc.subjectMathematics - Numerical Analysisde_DE
dc.subjectMathematics - Numerical Analysisde_DE
dc.subjectComputer Science - Numerical Analysisde_DE
dc.subject65M70, 65M20, 65L05, 65L04de_DE
dc.titleSpectral deferred corrections with fast-wave slow-wave splittingde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishThe paper investigates a variant of semi-implicit spectral deferred corrections (SISDC) in which the stiff, fast dynamics correspond to fast propagating waves ("fast-wave slow-wave problem"). We show that for a scalar test problem with two imaginary eigenvalues i λfₐst, i λslₒw, having Δ t (| λfₐst | + | λslₒw | ) < 1 is sufficient for the fast-wave slow-wave SDC (FWSW-SDC) iteration to converge and that in the limit of infinitely fast waves the convergence rate of the non-split version is retained. Stability function and discrete dispersion relation are derived and show that the method is stable for essentially arbitrary fast-wave CFL numbers as long as the slow dynamics are resolved. The method causes little numerical diffusion and its semi-discrete phase speed is accurate also for large wave number modes. Performance is studied for an acoustic-advection problem and for the linearised Boussinesq equations, describing compressible, stratified flow. FWSW-SDC is compared to a diagonally implicit Runge-Kutta (DIRK) and IMEX Runge-Kutta (IMEX) method and found to be competitive in terms of both accuracy and cost.de_DE
tuhh.publisher.doi10.1137/16M1060078-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.issue4de_DE
tuhh.container.volume38de_DE
tuhh.container.startpageA2535de_DE
tuhh.container.endpageA2557de_DE
dc.identifier.arxiv1602.01626v2de_DE
dc.identifier.scopus2-s2.0-84990945354de_DE
local.publisher.peerreviewedtruede_DE
item.grantfulltextnone-
item.languageiso639-1en-
item.creatorOrcidRuprecht, Daniel-
item.creatorOrcidSpeck, Robert-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorGNDRuprecht, Daniel-
item.creatorGNDSpeck, Robert-
item.mappedtypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_6501-
item.fulltextNo Fulltext-
crisitem.author.deptMathematik E-10-
crisitem.author.orcid0000-0003-1904-2473-
crisitem.author.orcid0000-0002-3879-1210-
crisitem.author.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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