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Table 1 Design space (FFD lattice \(2 \times 2 \times 2\)) with eight design parameters

From: Dimension reduction in heterogeneous parametric spaces with application to naval engineering shape design problems

Parameter

Nature

Lower bound

Upper bound

\(\mu _1\)

FFD point 1 y

\(-\) 0.2

0.3

\(\mu _2\)

FFD point 2 y

\(-\) 0.2

0.3

\(\mu _3\)

FFD point 3 y

\(-\) 0.2

0.3

\(\mu _4\)

FFD point 4 y

\(-\) 0.2

0.3

\(\mu _5\)

FFD point 3 z

\(-\) 0.2

0.5

\(\mu _6\)

FFD point 4 z

\(-\) 0.2

0.5

\(\mu _7\)

Weight (kg)

500

800

\(\mu _8\)

Velocity (m/s)

1.87

2.70

  1. Six geometrical parameters chosen among the FFD control points, one structural parameter that is the initial displacement of the hull and one physical parameter given by the velocity