Design Optimization of Subcavitating Hydrofoils for America's Cup Class Yachts - presented by Prof. Joaquim R. R. A. Martins

Design Optimization of Subcavitating Hydrofoils for America's Cup Class Yachts

Prof. Joaquim R. R. A. Martins

Prof. Joaquim R. R. A. Martins
Slide at 16:30
Multipoint optimization with cavitation constraints
Symbol
Description
Lower
Upper
Units
minimize
Cumulative drag coefficient
by varying
Angle of attack
npts
Flap angle
npts
Xshape
Shape (FFD control points)
-0.05
0.05
Total number of design variables
subject to
ce-ci
Target lift coefficient
npts
Cl -ce -
Minimum lift coefficient at maneuver point (m1)
KS(CPmin) o*
Aggregated cavitation constraint
npts
KS(t/c) - t/c*
Aggregated thickness-to-chord ratio constraint
ggeo, volume
Volume constraint
ggeo, thickness
2D relative thickness constraints
0.5to
ggeo, linear
Linear geometric constraints
Total number of constraints
Share slide
Summary (AI generated)

The optimization process aims to minimize cumulative drag across 67 varying flight conditions. Each condition involves adjustments to the angle of attack and flap angle. The shape remains constant, as it is fixed in the design. For each condition, we establish a target lift contribution and impose constraints on cavitation, thickness for structural integrity, and weight of the foam. Additionally, we include a volume constraint and various geometric constraints, resulting in a total of 237 constraints and 52 design variables.

American Magic provided us with critical data points, consisting of three upwind and three downwind points, which correspond to different wind speeds. Each point is associated with a specific Reynolds number and target lift coefficient. The parameter σ represents the cavitation coefficient (CP), which must be constrained based on speed.