Figure 8

Optimization of nozzles’ positions. Results obtained on level 3 for \(J_{3}(\operatorname{curl}_{\mathrm{thr}})\) with \(\operatorname{curl}_{\mathrm{thr}} \in \{1, 10, 25, 50\}\), top left to bottom right. The reduction of the functionals is depicted in accordance with the legend, i.e., the size of the circles represents \(1-R_{i}\) with the corresponding reduction \(R_{i}\) from equation (8). The red crosses are the computed weighted centers, see equation (9). The black plus signs indicate the default positions of the nozzles as given in Table 1