Abstract
A linear theory, based on widespacing and highfrequency approximations, is developed to describe resonant behaviour in twodimensional waterwave problems involving a freelyfloating halfimmersed cylinder in the presence of a vertical rigid wall. The theory is not able to describe the lowestfrequency resonance, but otherwise yields explicit approximations for the locations of resonances in the complex plane and for their corresponding residues. Two problems are investigated in detail: the timedomain motion following a vertical displacement of the cylinder from equilibrium, and the timeharmonic motion of the cylinder that is excited by an incident plane wave.
Original language  English 

Pages (fromto)  581610 
Number of pages  30 
Journal  Journal of Fluid Mechanics 
Volume  795 
Early online date  19 Apr 2016 
DOIs  
Publication status  Published  May 2016 
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Professor Richard Porter
 School of Mathematics  Professor
 Cabot Institute for the Environment
 Fluids and materials
 Applied Mathematics
Person: Academic , Member