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- Title
Do waveless ships exist? Results for single-cornered hulls.
- Authors
Trinh, Philippe H.; Chapman, S. Jonathan; Vanden-Broeck, Jean-Marc
- 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.
- Subjects
HULLS (Naval architecture) -- Design &; construction; MECHANICAL draft; SURFACE waves (Fluids); GRAVITY waves; SHIPS; MATHEMATICAL models; NUMERICAL analysis
- Publication
Journal of Fluid Mechanics, 2011, Vol 685, p413
- ISSN
0022-1120
- Publication type
Article
- DOI
10.1017/jfm.2011.325