Airflow Simulation (Navier-Stokes Equations) on UIUC Airfoil Coordinates Database w1015.dat (test)
0.2689MAE (u1)HC
Evaluation results
| Method | Links | ||||||
|---|---|---|---|---|---|---|---|
| HCCollocation points (Nf)=10,000, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.2689 | 0.0435 | 0.2032 | 34.02 | 0.7474 | 0.1852 | |
| PINN-LACollocation points (Nf)=10,000, Boundary points (Nb)=2048, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.4018 | 0.0595 | 0.2652 | 50.84 | 1.0225 | 0.2418 | |
| FBPINNCollocation points (Nf)=10,000, Boundary points (Nb)=2048, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.4058 | 0.0563 | 0.2665 | 51.34 | 0.9676 | 0.2429 | |
| PINNCollocation points (Nf)=10,000, Boundary points (Nb)=2048, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.4682 | 0.0697 | 0.3883 | 59.24 | 1.1979 | 0.3539 | |
| PINN-LA-2Collocation points (Nf)=10,000, Boundary points (Nb)=2048, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.5047 | 0.0659 | 0.2765 | 63.85 | 1.1325 | 0.2521 | |
| xPINNCollocation points (Nf)=10,000, Boundary points (Nb)=2048, Interface points (Ns)=2048, Optimization protocol=5000 Adam + L-BFGS2022.10 | 0.7188 | 0.0583 | 1.1708 | 90.95 | 1.0029 | 1.0672 |