Abstract
The threedimensional (3D) water impact onto a blunt structure with a spreading rectangular contact region is studied. The structure is mounted on a flat rigid plane with the impermeable curved surface of the structure perpendicular to the plane. Before impact, the water region is a rectangular domain of finite thickness bounded from below by the rigid plane and above by the flat free surface. The front free surface of the water region is vertical, representing the front of an advancing steep wave. The water region is initially advancing towards the structure at a constant uniform speed. We are concerned with the slamming loads acting on the surface of the structure during the initial stage of water impact. Air, gravity and surface tension are neglected. The problem is analysed by using some ideas of pressureimpulse theory, but including the timedependence of the wetted area of the structure. The flow caused by the impact is 3D and incompressible. The distribution of the pressureimpulse (the timeintegral of pressure) over the surface of the structure is analysed and compared with the distributions provided by strip theories. The total impulse exerted on the structure during the impact stage is evaluated and compared with numerical and experimental predictions. An example calculation is presented of water impact onto a vertical rigid cylinder. Threedimensional effects on the slamming loads are of main concern in this study.
Original language  English 

Article number  RSPA20150849 
Journal  Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 
Volume  472 
Issue number  2192 
DOIs  
Publication status  Published  3 Aug 2016 
Keywords
 Freesurface flows
 slamming loads
 threedimensional effects
Profiles

Mark Cooker
 School of Mathematics  Honorary Associate Professor, Visitor
 Fluid and Solid Mechanics  Member
Person: Honorary, Other related  academic, Research Group Member

Alexander Korobkin
 School of Mathematics  Professor in Applied Mathematics
 Fluid and Solid Mechanics  Member
Person: Research Group Member, Academic, Teaching & Research