Abstract
We study theoretically and numerically the downstream flow near the corner of a bluff body partially submerged at a deadrise depth Δh into a uniform stream of velocity U, in the presence of gravity, g. When the Froude number, Fr=U/√gΔh, is large, a threedimensional steady plunging wave, which is referred to as a corner wave, forms near the corner, developing downstream in a similar way to a twodimensional plunging wave evolving in time. We have performed an asymptotic analysis of the flow near this corner to describe the wave's initial evolution and to clarify the physical mechanism that leads to its formation. Using the twodimensionsplustime approximation, the problem reduces to one similar to dambreak flow with a wet bed in front of the dam. The analysis shows that, at leading order, the problem admits a selfsimilar formulation when the size of the wave is small compared with the height difference Δh. The essential feature of the selfsimilar solution is the formation of a mushroomshaped jet from which two smaller lateral jets stem. However, numerical simulations show that this selfsimilar solution is questionable from the physical point of view, as the two lateral jets plunge onto the free surface, leading to a selfintersecting flow. The physical mechanism leading to the formation of the mushroomshaped structure is discussed.
Original language  English 

Pages (fromto)  547563 
Number of pages  17 
Journal  Journal of Fluid Mechanics 
Volume  771 
DOIs  
Publication status  Published  May 2015 
Keywords
 dambreak
 twodimensionsplustime
 plunging waves
 selfsimilar flow
Profiles

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