| | |
| | """ |
| | Plot a single sample from the KdV-Burgers dataset. |
| | """ |
| |
|
| | import numpy as np |
| | import matplotlib.pyplot as plt |
| | from burgers_dataset import KdvBurgersDataset |
| |
|
| | def plot_kdv_burgers_sample(sample, save_path="sample_plot.png"): |
| | """Plot a single sample from the KdV-Burgers dataset""" |
| | fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 5)) |
| | |
| | |
| | spatial_coordinates = sample['spatial_coordinates'] |
| | u_initial = sample['u_initial'] |
| | u_trajectory = sample['u_trajectory'] |
| | time_coordinates = sample['time_coordinates'] |
| | |
| | |
| | ax1.plot(spatial_coordinates, u_initial, 'b-', linewidth=2) |
| | ax1.set_xlabel('x') |
| | ax1.set_ylabel('u(x, t=0)') |
| | ax1.set_title('Initial Condition') |
| | ax1.grid(True, alpha=0.3) |
| | ax1.set_xlim(0, spatial_coordinates[-1]) |
| | |
| | |
| | im = ax2.pcolormesh( |
| | spatial_coordinates, |
| | time_coordinates, |
| | u_trajectory, |
| | cmap="RdBu_r", |
| | shading="gouraud", |
| | rasterized=True, |
| | ) |
| | ax2.set_xlim(0, spatial_coordinates[-1]) |
| | ax2.set_ylim(0, time_coordinates[-1]) |
| | ax2.set_xlabel('x') |
| | ax2.set_ylabel('t') |
| | ax2.set_title("KdV-Burgers Evolution") |
| | |
| | |
| | plt.colorbar(im, ax=ax2, label='u(x,t)') |
| | |
| | plt.tight_layout() |
| | plt.savefig(save_path, dpi=200, bbox_inches='tight') |
| | plt.close() |
| | |
| | print(f"Sample visualization saved to {save_path}") |
| |
|
| | if __name__ == "__main__": |
| | |
| | np.random.seed(42) |
| | |
| | |
| | dataset = KdvBurgersDataset() |
| | |
| | |
| | sample = next(iter(dataset)) |
| | |
| | print("Sample keys:", list(sample.keys())) |
| | for key, value in sample.items(): |
| | print(f"{key}: shape {value.shape}") |
| | |
| | |
| | plot_kdv_burgers_sample(sample) |