Advertisement

A Novel Multi-Scale Strategy for Multi-Parametric Optimization

  • Rosa Donat
  • Sergio López-Ureña
  • Marc Menec
Conference paper
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 26)

Abstract

The motion of a sailing yacht is the result of an equilibrium between the aerodynamic forces, generated by the sails, and the hydrodynamic forces, generated by the hull(s) and the appendages (such as the keels, the rudders, the foils, etc.), which may be fixed or movable and not only compensate the aero-forces, but are also used to drive the boat. In most of the design, the 3D shape of an appendage is the combination of a plan form (2D side shape) and a planar section(s) perpendicular to it, whose design depends on the function of the appendage. We often need a section which generates a certain quantity of lift to fulfill its function, but the lift comes with a penalty which is the drag. The efficiency, equilibrium and speed of a sailing boat depend on the appendage hence on the planar section. We describe a multi-scale strategy to optimize the shape of a section in a multi-parametric setting by embedding the problem within a discrete multiresolution framework. We show that our strategy can be easily implemented and, combined with appropriate optimization techniques, provides a fast algorithm to obtain an ‘optimal’ perturbation of the original shape.

Notes

Acknowledgements

The authors acknowledge support from Project MTM2014-54388 (MINECO, Spain) and the FPU14/02216 grant (MECD, Spain)

References

  1. 1.
    Abbot, I.H., Von Doenhoff, A.E.: Theory of Wing Sections. Dover Publication, New York (1959)Google Scholar
  2. 2.
    Donat, R., López-Ureña, S.: A novel multi-scale strategy for multi-parametric optimization. (in preparation)Google Scholar
  3. 3.
    Dyn, N.: Subdivision Schemes in Computer-Aided Geometric Design. Advances in Numerical Analysis, vol. II. Lancaster (1990), pp. 36–104. Oxford Science Publication, Oxford University Press, New York (1992)Google Scholar
  4. 4.
    Fossati, F.: Aero-hydrodynamics and the performance of sailing Yachts: the science behind sailboats and their design. A&C Black, London (2009)Google Scholar
  5. 5.
    Harten, A.: Multiresolution representation of data: a general framework. SIAM J. Numer. Anal. 33(3), 1205–1256 (1996)MathSciNetCrossRefzbMATHGoogle Scholar

Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Universitat de ValènciaValència, BurjassotSpain
  2. 2.IS3DE ENG.ValènciaSpain

Personalised recommendations