Hydroelastic solitary waves in deep water
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 jan. 2024 · A unidirectional, weakly dispersive nonlinear model is proposed to describe the supercritical bifurcation arising from hydroelastic waves in deep water. This model …
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 … Web11 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.
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. 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 …
Web25 jul. 2011 · Hydroelastic Solitary Waves in Deep Water Authors: PAUL A. MILEWSKI Jean-Marc Vanden-Broeck University College London Zhan Wang Chinese Academy of … 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 …
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 …
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]. jim mcelwain barn houseWeb5 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 … install pyserial windows 10Web17 okt. 2012 · A Hamiltonian formulation for this hydroelastic problem is proposed in terms of quantities evaluated at the fluid–ice interface. For small-amplitude waves, a nonlinear … jim mcelwain and sharkWebof deep water, and traveling solitary waves on water of infi-nite depth were computed for different values of vorticity and new generalised solitary waves were discovered. Recently, Gao et al. [15] investigated hydroelastic waves on water of finite depth interacting with a linear shear current ... jim mcenerney cpa arlington heightsWeb19 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 … jim mcelwain footballWeb1 mei 2013 · Abstract 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 deep water. The non-linear elastic model is based on the special Cosserat theory of hyperelastic shells proposed by Toland (2008, Steady periodic hydroelastic … jim mcdougal deathWeb8 feb. 2013 · 1. Introduction. Solitary waves play a central role in free surface and interfacial flows. In the water wave problem, the existence of various types of solitary waves is often hinted at by model equations (Korteweg–de Vries, Kadomtsev–Petviasvilli, nonlinear Schrödinger, and so on) or local bifurcation analysis. jim mcelwain coaching record