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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
Sprache Englisch
ISSN 1561-8633
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
Publikation (Nr.) Volltext-Dokument vorhandencopernicus.org/nhess-14-751-2014.pdf
 
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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