IMEX-DG Schemes for Advection-Diffusion Problems using Term-based or Domain-based IMEX Splitting

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dc.date.accessioned2022-02-16T09:18:59Z
dc.date.available2022-02-16T09:18:59Z
dc.date.issued2021-12-14
dc.description.sponsorshipGefördert im Rahmen des Projekts DEALger
dc.identifierdoi:10.17170/kobra-202112165263
dc.identifier.urihttp://hdl.handle.net/123456789/13624
dc.language.isoengeng
dc.relation.doidoi:10.1002/pamm.202100140
dc.rightsNamensnennung 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.subject.ddc620
dc.subject.swdTetracyclinger
dc.subject.swdAdvektion-Diffusionsgleichungger
dc.subject.swdNumerisches Verfahrenger
dc.subject.swdComputerunterstütztes Verfahrenger
dc.titleIMEX-DG Schemes for Advection-Diffusion Problems using Term-based or Domain-based IMEX Splittingeng
dc.typeAufsatz
dc.type.versionpublishedVersion
dcterms.abstractIMEX partitioning may be based on a decomposition of the computational domain into two subgrids by implicitly discretizing the unknowns on the smallest cells while explicit time stepping is applied to moderately sized elements. Alternatively, advection-diffusion IMEX splitting applies implicit time discretization only to the viscous terms while inviscid terms are discretized explicitly. Analytical investigations have shown that a careful choice of both the specific IMEX scheme and the particular DG approach yield an additional stability property of such schemes resulting in time step restrictions independent of grid refinement. In this contribution, we will compare the domain-based IMEX partitioning to advection-diffusion splitting with respect to time step restrictions and efficiency.eng
dcterms.accessRightsopen access
dcterms.creatorOrtleb, Sigrun
dcterms.source.articlenumbere202100140
dcterms.source.identifiereissn:1617-7061
dcterms.source.issueIssue 1
dcterms.source.journalProceedings in applied mathematics and mechanics (PAMM)eng
dcterms.source.volumeVolume 21
kup.iskupfalse

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