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Nat. Hazards Earth Syst. Sci., 14, 751-756, 2014
https://doi.org/10.5194/nhess-14-751-2014
© Author(s) 2014. This work is distributed under
the Creative Commons Attribution 3.0 License.
Research article
08 Apr 2014
Non-linear water waves generated by impulsive motion of submerged obstacles
N. I. Makarenko1,2 and V. K. Kostikov1,2 1Lavrentyev Institute of Hydrodynamics, 630090, Novosibirsk, Russia
2Novosibirsk State University, 630090, Novosibirsk, Russia
Abstract. 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.

Citation: Makarenko, N. I. and Kostikov, V. K.: Non-linear water waves generated by impulsive motion of submerged obstacles, Nat. Hazards Earth Syst. Sci., 14, 751-756, https://doi.org/10.5194/nhess-14-751-2014, 2014.
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