Shape optimization of a breakwater

Figures & data

Figure 1. The domain $\mathrm{\Omega }$.

Figure 2. Wave pattern for initial geometry of the first (left) and second experiment (right).

Figure 3. Experiment 1: Convergence of the $H^1$ projected gradient method (left) and the bi-Laplacian gradient method (right).

Figure 4. Experiment 1: Wave pattern for the optimized geometry using the $H^1$ projected gradient (left) and the bi-Laplacian gradient (right).

Figure 5. Experiment 1: Wave pattern for the optimized geometry using the $L^2$ projected gradient without rescaling (left) and with rescaling (right).

Figure 6. Experiment 1: Convergence of the $L^2$ projected gradient method without rescaling (left) and with rescaling (right).

Figure 7. Experiment 2: Wave pattern for the final geometry using the $H^1$ projected gradient (left) and the bi-Laplacian gradient (right).

Figure 8. Experiment 2: Convergence of the $L^2$ projected gradient method without rescaling (left) and with rescaling (right).

Figure 9. Experiment 2: Wave pattern for the optimized geometry using the $L^2$ projected gradient without rescaling (left) and with rescaling (right).