Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5202
DC FieldValueLanguage
dc.contributor.authorKorobkin, Alexandre-
dc.contributor.authorYılmaz, Oğuz-
dc.date.accessioned2017-04-03T11:18:22Z
dc.date.available2017-04-03T11:18:22Z
dc.date.issued2009
dc.identifier.citationKorobkin, A. and Yılmaz, O. (2009). The initial stage of dam-break flow. Journal of Engineering Mathematics, 63(2-4), 293-308. doi:10.1007/s10665-008-9237-zen_US
dc.identifier.issn0022-0833
dc.identifier.issn0022-0833-
dc.identifier.urihttp://dx.doi.org/10.1007/s10665-008-9237-z
dc.identifier.urihttp://hdl.handle.net/11147/5202
dc.description.abstractThe liquid flow and the free surface shape during the initial stage of dam breaking are investigated. The method of matched asymptotic expansions is used to derive the leading-order uniform solution of the classical dam-break problem. The asymptotic analysis is performed with respect to a small parameter which characterizes the short duration of the stage under consideration. The second-order outer solution is obtained in the main flow region. This solution is not valid in a small vicinity of the intersection point between the initially vertical free surface and the horizontal rigid bottom. The dimension of this vicinity is estimated with the help of a local analysis of the outer solution close to the intersection point. Stretched local coordinates are used in this vicinity to resolve the flow singularity and to derive the leading-order inner solution, which describes the formation of the jet flow along the bottom. It is shown that the inner solution is self-similar and the corresponding boundary-value problem can be reduced to the well-known Cauchy-Poisson problem for water waves generated by a given pressure distribution along the free surface. An analysis of the inner solution reveals the complex shape of the jet head, which would be difficult to simulate numerically. The asymptotic solution obtained is expected to be helpful in the analysis of developed gravity-driven flows.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey; International Centre for Theoretical Physics-Triesteen_US
dc.language.isoenen_US
dc.publisherSpringer Verlagen_US
dc.relation.ispartofJournal of Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAsymptotic analysisen_US
dc.subjectDam breaken_US
dc.subjectFree-surface flowsen_US
dc.subjectMatched asymptotic expansionsen_US
dc.titleThe initial stage of dam-break flowen_US
dc.typeArticleen_US
dc.authoridTR1568en_US
dc.institutionauthorYılmaz, Oğuz-
dc.departmentİzmir Institute of Technology. Mathematicsen_US
dc.identifier.volume63en_US
dc.identifier.issue2-4en_US
dc.identifier.startpage293en_US
dc.identifier.endpage308en_US
dc.identifier.wosWOS:000263797400009en_US
dc.identifier.scopus2-s2.0-62149093974en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.doi10.1007/s10665-008-9237-z-
dc.relation.doi10.1007/s10665-008-9237-zen_US
dc.coverage.doi10.1007/s10665-008-9237-zen_US
dc.identifier.wosqualityQ4-
dc.identifier.scopusqualityN/A-
item.openairetypeArticle-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.grantfulltextopen-
item.languageiso639-1en-
item.cerifentitytypePublications-
item.fulltextWith Fulltext-
crisitem.author.dept04.02. Department of Mathematics-
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection
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