The minimal resistance problem in a class of non convex bodies
Edoardo Mainini, Manuel Monteverde, Edouard Oudet, Danilo Percivale
TL;DR
This paper characterizes solutions to the Newton minimal resistance problem for certain non-convex, radial q-concave profiles and provides a numerical algorithm for more general nonradial cases.
Contribution
It offers a theoretical characterization for radial q-concave profiles and introduces a numerical method for nonradial profiles in the minimal resistance problem.
Findings
Solution characterization for radial q-concave profiles
Numerical algorithm for nonradial profiles
Extension to one-dimensional profiles
Abstract
We characterize the solution to the Newton minimal resistance problem in a class of radial q-concave profiles. We also give the corresponding result for one-dimensional profiles. Moreover, we provide a numerical optimization algorithm for the general nonradial case.
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