Optimization and Computational Fluid Dynamics - Department of ...

130 Nicolas R. Gauger
(a)
(b)
Fig. 5.7 Pressure distribution of the original test case and the optimum of FD and AD
for (a) Hicks-Henne and (b) cosine functions parameterization
converges after nine gradient computations which are marked by a filled out
square. The optimization with cosine functions converges after 13 gradient
computations. The pressure distribution for both optimizations is drawn in
Fig. 5.7 and the optimal geometries can be found in Fig. 5.8.
As one can see, the strong shock of the original baseline geometry nearly
vanished in both cases and one ends up with more than 50% decrease in
drag. In contrast to the optimum with the help of Hicks-Henne functions, the
optimum with cosine functions parameterization shows slight oscillations in