TY  - JOUR
KW  - surface gravity waves
KW  -  wave?structure interactions
N1  - © 2011 Cambridge University Press
EP  -  439
AV  - public
TI  - Do waveless ships exist? Results for single-cornered hulls
SN  - 0022-1120
PB  - Cambridge University Press
JF  - Journal of Fluid Mechanics
A1  - Trinh, P
A1  - Chapman, SJ
A1  - Vanden-Broeck, J
SP  - 413 
VL  - 685
UR  - http://dx.doi.org/10.1017/jfm.2011.325
ID  - discovery1333085
N2  - Consider low-speed potential flow past a ship modelled as a semi-infinite two-dimensional body with constant draught. Is it possible to design the hull in such a way as to eliminate the waves produced downstream of the ship? In 1977, Vanden-Broeck & Tuck had conjectured that a single-cornered piecewise-linear hull will always generate a wake; in this paper, we show how recently developed tools in exponential asymptotics can be used to confirm this conjecture. In particular, we show how the formation of waves near a ship is a necessary consequence of singularities in the ship?s geometry (or its analytic continuation). Comprehensive numerical computations confirm the analytical predictions.
Y1  - 2011/10//
ER  -