Robust optimal ship hulls based on Michell's wave resistance-Reference-Cited by-同舟云学术

Robust optimal ship hulls based on Michell's wave resistance

Published:2023-10-04 Issue:2 Volume:47 Page:928-960
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Zerrouq Salah‐Eddine¹^ORCID,Pierre Morgan²^ORCID

Affiliation:

1. Arts et Métiers ParisTech, I2M CNRS UMR 5295 Talence France

2. Laboratoire de Mathématiques et Applications, Université de Poitiers, CNRS Poitiers France

Abstract

We seek the hull of a ship with a given volume which minimizes the water resistance with uncertainties on the cruising speed. The water resistance is based on Michell's wave resistance functional, and the speed is a random variable whose probability distribution is known. We first handle the case where the support of the hull is given and then we also optimize this support for a given area. In each case, an optimal hull is shown to exist. The numerical simulations are costly so we adapt to our problem Newton's method for shape optimization. The Dirichlet energy is used as a test case. The numerical results for the robust optimal hull are compared with the case where the cruising speed is known.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9693

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