Trinh, P;
Chapman, SJ;
Vanden-Broeck, J;
(2011)
Do waveless ships exist? Results for single-cornered hulls.
Journal of Fluid Mechanics
, 685
413 - 439.
10.1017/jfm.2011.325.
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Abstract
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.
| Type: | Article |
|---|---|
| Title: | Do waveless ships exist? Results for single-cornered hulls |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1017/jfm.2011.325 |
| Publisher version: | http://dx.doi.org/10.1017/jfm.2011.325 |
| Language: | English |
| Additional information: | © 2011 Cambridge University Press |
| Keywords: | surface gravity waves, wave–structure interactions |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1333085 |
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