%0 Journal Article
%@ 0022-1120
%A Trinh, P
%A Chapman, SJ
%A Vanden-Broeck, J
%D 2011
%F discovery:1333085
%I Cambridge University Press
%J Journal of Fluid Mechanics
%K surface gravity waves, wave–structure interactions
%P 413 - 439
%T Do waveless ships exist? Results for single-cornered hulls
%U https://discovery.ucl.ac.uk/id/eprint/1333085/
%V 685
%X 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.
%Z © 2011 Cambridge University Press