A theoretical and numerical determination of optimal ship forms based on Michell’s wave resistance

DOI10.1051/cocv/2014067zbMath1335.49071arXiv1410.2800OpenAlexW2964070368MaRDI QIDQ2798004

Julien Dambrine, Morgan Pierre, Germain Rousseaux

Publication date: 1 April 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.2800

zbMATH Keywords

Sobolev spacequadratic programmingobstacle problemUzawa algorithmMichell's wave resistanceoptimal ship formsparametric shape optimization

Mathematics Subject Classification ID

Quadratic programming (90C20) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Variational methods applied to problems in fluid mechanics (76M30) Optimization of shapes other than minimal surfaces (49Q10) Flow control and optimization for incompressible inviscid fluids (76B75)

Related Items (4)

Continuity with respect to the speed for optimal ship forms based on Michell's formula ⋮ Robust optimal ship hulls based on Michell's wave resistance ⋮ Wave drag on asymmetric bodies ⋮ Regularity of optimal ship forms based on Michell's wave resistance

Cites Work

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• Differential-difference equations
• Optimal treatment of structures
• Ship Resistance and Propulsion
• A survey on the Newton problem of optimal profiles

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