Please use this identifier to cite or link to this item:
Title: The initial stage of dam-break flow
Authors: Korobkin, Alexandre
Yılmaz, Oğuz
Keywords: Asymptotic analysis
Dam break
Free-surface flows
Matched asymptotic expansions
Publisher: Springer Verlag
Source: Korobkin, 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-z
Abstract: The 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.
ISSN: 0022-0833
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

Files in This Item:
File Description SizeFormat 
5202.pdfMakale376.46 kBAdobe PDFThumbnail
Show full item record

CORE Recommender


checked on Jul 19, 2024


checked on Jul 20, 2024

Page view(s)

checked on Jul 22, 2024


checked on Jul 22, 2024

Google ScholarTM



Items in GCRIS Repository are protected by copyright, with all rights reserved, unless otherwise indicated.