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Optimization and Computational Fluid Dynamics - Department of ...

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5 Efficient Deterministic Approaches for Aerodynamic Shape <strong>Optimization</strong> 143<br />

Fig. 5.17 Convergence history <strong>of</strong> design (inexact/exact drag), RAE 2822, M∞ =0.73<br />

<strong>and</strong> α =2.0 ◦<br />

cp<br />

-1.5<br />

-1<br />

-0.5<br />

0<br />

0.5<br />

1<br />

1.5<br />

0<br />

0.25<br />

Initial<br />

Optimized (Present)<br />

Optimized (steepest descent)<br />

0.5<br />

X/C<br />

0.75 1<br />

Fig. 5.18 Initial <strong>and</strong> optimized pressure distribution (RAE 2822, M∞ =0.73 <strong>and</strong> α =<br />

2.0 ◦ )<br />

drag is evaluated for the less converged state <strong>and</strong> costate variables used in<br />

the design loop. Afterwards, on the trace <strong>of</strong> modified shapes generated during<br />

the one-shot approach, the drag was recomputed up to an accuracy <strong>of</strong> 7<br />

digits <strong>and</strong> compared with the inexact one. The final drag reduction after the

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