Robust optimal ship hulls based on Michell's wave resistance
Résumé
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 numerical results are compared to the case where the cruising speed is known.
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