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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Bibliographic Details
Published inESAIM. Control, optimisation and calculus of variations Vol. 22; no. 1; pp. 88 - 111
Main Authors Dambrine, Julien, Pierre, Morgan, Rousseaux, Germain
Format Journal Article
LanguageEnglish
Published Les Ulis EDP Sciences 01.01.2016
Subjects
49J20
76B75
76M30
Computer simulation
Drag coefficients
obstacle problem
parametric shape optimization
Quadratic programming
S waves
Sobolev space
Uzawa algorithm
Viscous drag
Water resistance
Wave resistance
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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.
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