DC FieldValueLanguage
dc.contributor.authorRuprecht, Daniel-
dc.contributor.authorKrause, Rolf-
dc.date.accessioned2021-10-14T10:34:50Z-
dc.date.available2021-10-14T10:34:50Z-
dc.date.issued2012-04-30-
dc.identifier.citationComputers & Fluids 59: 72-83 (2012-04-30)de_DE
dc.identifier.issn0045-7930de_DE
dc.identifier.urihttp://hdl.handle.net/11420/10529-
dc.description.abstractThe applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a test case for integration schemes for numerical weather prediction (NWP), is addressed. Parallel-in-time schemes are a possible way to increase, on the algorithmic level, the amount of parallelism, a requirement arising from the rapidly growing number of CPUs in high performance computer systems. A recently introduced modification of the "parallel implicit time-integration algorithm" could successfully solve hyperbolic problems arising in structural dynamics. It has later been cast into the framework of Parareal. The present paper adapts this modified Parareal and employs it for the solution of a hyperbolic flow problem, where the initial value problem solved in parallel arises from the spatial discretization of a partial differential equation by a finite difference method. It is demonstrated that the modified Parareal is stable and can produce reasonably accurate solutions while allowing for a noticeable reduction of the time-to-solution. The implementation relies on integration schemes already widely used in NWP (RK-3, partially split forward Euler, forward-backward). It is demonstrated that using an explicit partially split scheme for the coarse integrator allows to avoid the use of an implicit scheme while still achieving speedup.en
dc.language.isoende_DE
dc.relation.ispartofComputers & fluidsde_DE
dc.subjectAcoustic-advection systemde_DE
dc.subjectKrylov-subspace-enhancementde_DE
dc.subjectNumerical weather predictionde_DE
dc.subjectParallel-in-time integrationde_DE
dc.subjectPararealde_DE
dc.subjectComputer Science - Computational Engineering; Finance; and Sciencede_DE
dc.subjectComputer Science - Computational Engineering; Finance; and Sciencede_DE
dc.subjectComputer Science - Distributed; Parallel; and Cluster Computingde_DE
dc.subjectMathematics - Numerical Analysisde_DE
dc.subject.ddc510: Mathematikde_DE
dc.titleExplicit Parallel-in-time Integration of a Linear Acoustic-Advection Systemde_DE
dc.typeArticlede_DE
dc.type.diniarticle-
dcterms.DCMITypeText-
tuhh.abstract.englishThe applicability of the Parareal parallel-in-time integration scheme for the solution of a linear, two-dimensional hyperbolic acoustic-advection system, which is often used as a test case for integration schemes for numerical weather prediction (NWP), is addressed. Parallel-in-time schemes are a possible way to increase, on the algorithmic level, the amount of parallelism, a requirement arising from the rapidly growing number of CPUs in high performance computer systems. A recently introduced modification of the "parallel implicit time-integration algorithm" could successfully solve hyperbolic problems arising in structural dynamics. It has later been cast into the framework of Parareal. The present paper adapts this modified Parareal and employs it for the solution of a hyperbolic flow problem, where the initial value problem solved in parallel arises from the spatial discretization of a partial differential equation by a finite difference method. It is demonstrated that the modified Parareal is stable and can produce reasonably accurate solutions while allowing for a noticeable reduction of the time-to-solution. The implementation relies on integration schemes already widely used in NWP (RK-3, partially split forward Euler, forward-backward). It is demonstrated that using an explicit partially split scheme for the coarse integrator allows to avoid the use of an implicit scheme while still achieving speedup.de_DE
tuhh.publisher.doi10.1016/j.compfluid.2012.02.015-
tuhh.type.opus(wissenschaftlicher) Artikel-
dc.type.driverarticle-
dc.type.casraiJournal Article-
tuhh.container.volume59de_DE
tuhh.container.startpage72de_DE
tuhh.container.endpage83de_DE
dc.identifier.arxiv1510.02237v1de_DE
dc.identifier.scopus2-s2.0-84858738542de_DE
local.status.inpressfalsede_DE
local.publisher.peerreviewedtruede_DE
item.grantfulltextnone-
item.languageiso639-1en-
item.creatorOrcidRuprecht, Daniel-
item.creatorOrcidKrause, Rolf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.creatorGNDRuprecht, Daniel-
item.creatorGNDKrause, Rolf-
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.parentorgStudiendekanat Elektrotechnik, Informatik und Mathematik-
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