Hydroelastic solitary waves in deep water
Web1 jun. 2024 · Hydroelastic solitary waves propagating on the surface of a three-dimensional ideal fluid through the deformation of an elastic sheet are studied. The problem is investigated based on a Benney–Luke-type equation derived via an explicit non-local formulation of the classic water wave problem. WebMultilump gravity-capillary solitary waves propagating in a fluid of infinite depth are computed numerically. The study is based on a weakly nonlinear and dispersive partial differential equation (PDE) with weak variations in the spanwise direction, a model derived by Akers and Milewski [Stud. Appl. Math., 122 (2009), pp. 249--274].
Hydroelastic solitary waves in deep water
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Web4 nov. 2014 · There are other possible free-surface fluid systems with possible asymmetric solitary waves that are worth investigating, most notably hydroelastic (or flexural-gravity) waves, a model used to describe the propagation of waves on floating ice sheets, and interfacial waves between two immiscible fluids, under the action of both gravity and … Web19 mei 2011 · The problem of waves propagating on the surface of a two-dimensional ideal fluid of infinite depth bounded above by an elastic sheet is studied with asymptotic and numerical methods. We use a nonlinear elastic model that has been used to describe …
Web1 jan. 2024 · For solitary wave bifurcations we need only consider wavenumbers for which c p is an extremum (i.e. c p ′ ( k ∗) = 0 implying c p = c g ), and it is easy to show that λ ( k ∗, Ω) > 0. Thus the one parameter function γ ( k ∗, Ω) ≡ γ … Web1 jun. 2024 · Hydroelastic waves have wide applications in the safe use of floating ice covers as transport links and the construction of very large floating platforms. Typical …
Web9 jun. 2010 · A model equation for gravity-capillary waves in deep water is proposed, a quadratic approximation of the deep water potential flow equations and has wavepacket-type solitary wave solutions which supports line solitary waves, and lump solitary waves which are spatially localized in both directions. A model equation for gravity-capillary … WebAbstract This paper is concerned with the two-dimensional problem of nonlinear gravity waves travelling at the interface between a thin ice sheet and an ideal fluid of infinite depth. The ice-sheet model is based on the special Cosserat theory of hyperelastic shells satisfying Kirchhoff’s hypothesis, which yields a conservative and nonlinear expression for the …
Web1 mei 2013 · Steady periodic and solitary waves propagating in a 2D fluid bounded above by a flexible sheet—which may be viewed as modelling an ice sheet—are considered in …
Web1 jun. 2024 · It is noted that in deep water, hydroelastic solitary waves exist only at finite amplitude, which is coincident with the defocusing nature of the NLS equation at the phase speed minimum. Milewski et al. [6] numerically found dark solitary waves in deep water in the full Euler equations using the conformal mapping technique, which were also … nt car rentalsWeb5 nov. 2024 · Hydroelastic solitary waves propagating on the surface of a three-dimensional ideal fluid through the deformation of an elastic sheet are studied. The problem is investigated based on a Benney-Luke-type equation derived via an explicit non-local formulation of the classic water wave problem. The normal form analysis is carried out … nikes coming outWeb23 okt. 2024 · Generalised solitary waves are found for downstream waves. More surprisingly, the central pulse of the generalised solitary wave can become wide and flat … ntca tb conference 2022WebWe consider the nonlinear hydroelastic interaction between incident progressive waves and a semi-in nite elastic plate oating on in nitely deep water for the two-dimensionalcase,asshowninFigure .Cartesiancoordinates are chosen such that =0 represents the undisturbed water surface. e -axis points horizontally rightward and nike scraper discord botWebA new class of hydroelastic solitary waves which are non-symmetric in the direction of wave propagation is then computed. These asymmetric solitary waves have a multi … nike scorpion black saleWebHydroelastic solitary waves in deep water 629 the FG wave problem with a pre-stressed sheet modelled with the inclusion of a surface-tension-like term can be found in Il’ichev … nike scorpion uniformWebA Hamiltonian formulation for this hydroelastic problem is proposed in terms of quantities evaluated at the fluid–ice interface. For small-amplitude waves, a nonlinear Schrödinger … nike scorpion on foot