A theoretical and numerical determination of optimal ship forms based on Michell’s wave resistance
We determine the parametric hull of a given volume which minimizes the total water resistance for a given speed of the ship. The total resistance is the sum of Michell’s wave resistance and of the viscous resistance, approximated by assuming a constant viscous drag coefficient. We prove that the opt...
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Published in | ESAIM. Control, optimisation and calculus of variations Vol. 22; no. 1; pp. 88 - 111 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Les Ulis
EDP Sciences
01.01.2016
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Subjects | |
Online Access | Get full text |
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Summary: | We determine the parametric hull of a given volume which minimizes the total water resistance for a given speed of the ship. The total resistance is the sum of Michell’s wave resistance and of the viscous resistance, approximated by assuming a constant viscous drag coefficient. We prove that the optimized hull exists, is unique, symmetric, smooth and that it depends continuously on the speed. Numerical simulations show the efficiency of the approach, and complete the theoretical results. |
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Bibliography: | PII:S1292811914000670 pierre@math.univ-poitiers.fr ark:/67375/80W-6PMSHS6D-0 publisher-ID:cocv140067 istex:6B31918F63E1139C2BAC40C234FBAD9191205FD6 |
ISSN: | 1292-8119 1262-3377 |
DOI: | 10.1051/cocv/2014067 |