Rodyti trumpą aprašą

dc.contributor.authorŠumskas, Vytenis
dc.contributor.authorČiegis, Raimondas
dc.date.accessioned2023-09-18T16:13:33Z
dc.date.available2023-09-18T16:13:33Z
dc.date.issued2022
dc.identifier.issn0363-1672
dc.identifier.urihttps://etalpykla.vilniustech.lt/handle/123456789/112470
dc.description.abstractIn this paper, we construct an alternating direction implicit (ADI) type finite volume numerical scheme to solve a nonclassical nonstationary heat conduction problem set in a 2D cross-shaped domain. We reduce the original model to a hybrid dimension model in a large part of the domain. We define special conjugation conditions between 2D and 1D parts. We apply the finite volume method to approximate spatial differential operators and use ADI splitting for time integration. The ADI scheme is unconditionally stable, and under a mix of Dirichlet and Neumann boundary conditions, the approximation error is of second order in space and time. The results of computational experiments confirm the theoretical error analysis. We compare visual representations and computational times for various sizes of reduced dimension zoneseng
dc.formatPDF
dc.format.extentp. 239-258
dc.format.mediumtekstas / txt
dc.language.isoeng
dc.relation.isreferencedbyScience Citation Index Expanded (Web of Science)
dc.relation.isreferencedbyScopus
dc.relation.isreferencedbySpringerLink
dc.source.urihttps://link.springer.com/content/pdf/10.1007/s10986-022-09561-0.pdf
dc.titleFinite volume ADI scheme for hybrid dimension heat conduction problems set in a cross-shaped domain
dc.typeStraipsnis Web of Science DB / Article in Web of Science DB
dcterms.references32
dc.type.pubtypeS1 - Straipsnis Web of Science DB / Web of Science DB article
dc.contributor.institutionVilniaus universitetas
dc.contributor.institutionVilniaus Gedimino technikos universitetas
dc.contributor.facultyFundamentinių mokslų fakultetas / Faculty of Fundamental Sciences
dc.subject.researchfieldN 001 - Matematika / Mathematics
dc.subject.studydirectionA02 - Taikomoji matematika / Applied mathematics
dc.subject.vgtuprioritizedfieldsFM0101 - Fizinių, technologinių ir ekonominių procesų matematiniai modeliai / Mathematical models of physical, technological and economic processes
dc.subject.ltspecializationsL106 - Transportas, logistika ir informacinės ir ryšių technologijos (IRT) / Transport, logistic and information and communication technologies
dc.subject.enADI
dc.subject.enFVM
dc.subject.enhybrid dimension
dc.subject.enheat conduction
dcterms.sourcetitleLithuanian mathematical journal
dc.description.issueiss. 2
dc.description.volumevol. 62
dc.publisher.nameSpringer
dc.publisher.cityNew York
dc.identifier.doi000776821400001
dc.identifier.doi10.1007/s10986-022-09561-0
dc.identifier.elaba125262316


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Rodyti trumpą aprašą