Optimum shape design for turbulent viscous flows around complete configurations of 2D flying sails

Issue title: Computational and Mathematical Methods for Science and Engineering Conference 2002 – CMMSE-2002

Article type: Research Article

Authors: de' Michieli Vitturi, Mattia^a | Beux, François^{b; *} | Lombardi, Giovanni^c | Dervieux, Alain^d

Affiliations: [a] Dipartimento di Matematica, Università di Pisa, via Buonarroti, 2, 56127 Pisa, Italy | [b] Classe di Scienze, Scuola Normale Superiore di Pisa, piazza dei Cavalieri, 7, 56126 Pisa, Italy | [c] Dipartimento di Ingegneria Aerospaziale, Università di Pisa, via G. Caruso, 56126 Pisa, Italy | [d] INRIA, Projet Tropics, 2004 route des Lucioles, B.P. 93, 06902 Sophia-Antipolis Cedex, France

Correspondence: [*] Corresponding author. Tel.: +39 050 509 263; Fax: +39 050 563 513.; E-mail: [email protected].

Abstract: Optimization of a complete 2D flying sails configuration is considered. An optimum shape design problem is then defined considering the maximization of the drive force on the sails and a complete flow modelling including accurate turbulent effects. The corresponding numerical algorithm is based on a gradient descent method coupled with a discrete shape grid-point parametrization. The descent direction is obtained by an exact computation of an incomplete discrete gradient associated with a multi-level strategy. The numerical behavior of the present formulation has been illustrated by the optimization of a real 2D configuration of an America's Cup yacht.

Keywords: aerodynamic sail optimization, optimum shape design, gradient methods, incomplete sensitivities, turbulent viscous flows

DOI: 10.3233/JCM-2004-41-207

Journal: Journal of Computational Methods in Sciences and Engineering, vol. 4, no. 1-2, pp. 43-55, 2004