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Titel |
Non-linear water waves generated by impulsive motion of submerged obstacles |
VerfasserIn |
N. I. Makarenko, V. K. Kostikov |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1561-8633
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Digitales Dokument |
URL |
Erschienen |
In: Natural Hazards and Earth System Sciences ; 14, no. 4 ; Nr. 14, no. 4 (2014-04-08), S.751-756 |
Datensatznummer |
250118382
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Publikation (Nr.) |
copernicus.org/nhess-14-751-2014.pdf |
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Zusammenfassung |
A fully non-linear problem on unsteady water waves generated by an
impulsively moving obstacle is studied analytically. Our method involves
reduction of the Euler equations to the integral-differential system for the
wave elevation together with normal and tangential fluid velocities at a free
surface. Exact model equations are derived in explicit form in a case where
an isolated obstacle is presented by a totally submerged elliptic cylinder. A
small-time asymptotic solution is constructed for a cylinder which starts
with constant acceleration from rest. It is demonstrated that the
leading-order solution terms describe several wave regimes such as the
formation of non-stationary splash jets by vertical rising or vertical
submersion of the obstacle; the generation of diverging waves is also
observed. |
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