6533b7d2fe1ef96bd125ea39

RESEARCH PRODUCT

A Novel Multi-Scale Strategy for Multi-Parametric Optimization

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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.