| Issue |
ESAIM: COCV
Volume 25, 2019
|
|
|---|---|---|
| Article Number | 27 | |
| Number of page(s) | 36 | |
| DOI | https://doi.org/10.1051/cocv/2018016 | |
| Published online | 05 August 2019 | |
The minimal resistance problem in a class of non convex bodies
1
Dipartimento di ingegneria meccanica, energetica, gestionale e dei trasporti (DIME). Università degli Studi di Genova,
Via all’Opera Pia 15,
16145
Genova,
Italy
2
Laboratoire Jean Kuntzmann, Université Grenoble-Alpes, Bâtiment IMAG,
BP 53 38041
Grenoble Cedex 9,
France
* Corresponding author: mainini@dime.unige.it
Received:
9
August
2017
Accepted:
6
March
2018
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.
Mathematics Subject Classification: 49Q10 / 49K30
Key words: Newton minimal resistance problem / shape optimization
© EDP Sciences, SMAI 2019
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