Hydroelastic solitary waves in deep water
WebThe 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 … Webuid. Hydroelastic waves enjoy wide usages in marine structures and sea transport. Modern applications of hydroelastic waves abound: very large oating structures usable as fully …
Hydroelastic solitary waves in deep water
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Web15 aug. 2012 · There are many solitary wave branches, indexed by their finite energy as their amplitude tends to zero. The dynamics of the solitary waves is complex, involving … 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 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 … 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 …
Web5 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 … WebNonlinear hydroelastic interaction among a floating elastic plate, a train of deepwater waves, and a current which decays exponentially with depth is studied analytically. We introduce a stream function to obtain the governing equation with the dynamic boundary condition expressing a balance among the hydrodynamic, the shear currents, elastic, …
WebHydroelastic 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 …
Web1 jan. 2024 · A unidirectional, weakly dispersive nonlinear model is proposed to describe the supercritical bifurcation arising from hydroelastic waves in deep water. This model … general population morbidity surveillanceWeb11 dec. 2024 · Solitary hydroelastic waves have been studied extensively in a number of papers [ 3 – 9 ], where branches of solutions and the evolution in time were discussed. In most papers investigating nonlinear hydroelastic waves, the fluid is assumed to be under the elastic plate. general positive feedback for employeesWebThe dynamics of hydroelastic solitary waves in the full Euler equations was carried out by Gao et al. (2016)in deep water and by Gao et al. (2024) for shallow water. In addition, new... deals com hotelsWebA 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 … general population prostate cancer screeningWebSteady 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 deep water. The non-linear elastic model is based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008, Steady periodic hydroelastic waves. deals columbus ohioWeb18 nov. 2024 · We study the motion of an interface between two irrotational, incompressible fluids, with elastic bending forces present; this is the hydroelastic wave problem. We prove a global bifurcation theorem for the existence of families of spatially periodic traveling waves on infinite depth. general portion of physical examWeb1 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 … deals cookingtwist