Projects per year
Abstract
Steady solitary and generalized solitary waves of a twofluid problem where the upper layer is under a flexible elastic sheet are considered as a model for internal waves under an icecovered ocean. The fluid consists of two layers of constant densities, separated by an interface. The elastic sheet resists bending forces and is mathematically described by a fully nonlinear thin shell model. Fully localized solitary waves are computed via a boundary integral method. Progression along the various branches of solutions shows that barotropic (i.e. surface modes) wavepacket solitary wave branches end with the free surface approaching the interface. On the other hand, the limiting configurations of long baroclinic (i.e. internal) solitary waves are characterized by an infinite broadening in the horizontal direction. Baroclinic wavepacket modes also exist for a large range of amplitudes and generalized solitary waves are computed in a case of a long internal mode in resonance with surface modes. In contrast to the pure gravity case (i.e without an elastic cover), these generalized solitary waves exhibit new Wiltonripplelike periodic trains in the far field.
Original language  English 

Article number  20140111 
Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  470 
Issue number  2168 
DOIs  
Publication status  Published  21 May 2014 
Projects
 1 Finished

Nonlinear Hydroelastic Waves with Applications to Ice Sheets (Joint Proposal, Lead  UCL)
Parau, E., Espin, L., Milewski, P., VandenBroeck, J. & Guyenne, P.
Engineering and Physical Sciences Research Council
12/11/12 → 11/05/16
Project: Research