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Advances in Aerodynamics

Table 9 Design cases for wing profile optimization

From: High-dimensional aerodynamic data modeling using a machine learning method based on a convolutional neural network

Optimization case

Optimization problem

Mach number

Altitude (km)

Reynolds number

Angle of attack (α)

1

\(\begin{array}{cc}\mathrm{max}& {f}_{obj}\left(x\right)={C}_{L}/{C}_{D}\\ s.t.& \left|t-{t}_{0}\right|<0.04{t}_{0}\end{array}\)

5.2

25

4.29 × 106

1°

2

\(\begin{array}{cc}\mathrm{max}& {f}_{obj}\left(x\right)={C}_{L}/{C}_{D}\\ s.t.& \left|t-{t}_{0}\right|<0.04{t}_{0}\end{array}\)

5.2

25

4.29 × 106

2°

3

\(\begin{array}{cc}\mathrm{min}& {f}_{obj}\left(x\right)={C}_{D}\\ s.t.& \left|t-{t}_{0}\right|<0.04{t}_{0}\\ & {C}_{L}\ge {C}_{L,0}\end{array}\)

5.2

25

4.29 × 106

1°

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