A theoretical and numerical determination of optimal ship forms based on Michell's wave resistance
Optimization and Control
2014-10-13 v1 Fluid Dynamics
Abstract
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.
Keywords
Cite
@article{arxiv.1410.2800,
title = {A theoretical and numerical determination of optimal ship forms based on Michell's wave resistance},
author = {Julien Dambrine and Morgan Pierre and Germain Rousseaux},
journal= {arXiv preprint arXiv:1410.2800},
year = {2014}
}