| { | |
| "generate_dataset_py": { | |
| "num_spatial_dims": 2, | |
| "pde": "AllenCahn", | |
| "ic": "RandomTruncatedFourierSeries", | |
| "bc": "None", | |
| "x_domain_extent": 2.5, | |
| "num_points": 128, | |
| "dt_save": 0.0001, | |
| "t_end": 300.0, | |
| "save_freq": 100, | |
| "simulations": 10, | |
| "plotted_sim": 3, | |
| "plot_sim": "True", | |
| "stats": "True", | |
| "seed": 42, | |
| "nu": [0.01, 0.02], | |
| "c1": 1.0, | |
| "c3": -1.0, | |
| "pde_cmaps": { "AllenCahn": "RdBu" } | |
| }, | |
| "generation_details": { | |
| "library": "Exponax", | |
| "library_url": "https://github.com/Ceyron/exponax/tree/main/exponax", | |
| "spatial_method": "Fourier pseudo-spectral method", | |
| "dealiasing": "1/2-rule", | |
| "time_integration": "Exponential time-differencing", | |
| "variant": "ETDRK2 (second-order Runge-Kutta)" | |
| }, | |
| "stepper_py": { | |
| "cutoff": 10, | |
| "include_init": true, | |
| "scale": 0.5 | |
| }, | |
| "exponax_stepper": { | |
| "first_order_coefficient": -1.0, | |
| "third_order_coefficient": 1.0, | |
| "dealiasing_fraction": 0.5, | |
| "order": 2 | |
| }, | |
| "exponax_ic": { | |
| "description": "This dataset uses the RandomTruncatedFourierSeries class to generate initial conditions.", | |
| "amplitude_range": [0.0, 1.0], | |
| "angle_range": [0.0, 6.283185307179586], | |
| "offset_range": [0.0, 0.0], | |
| "std_one": true, | |
| "max_one": false, | |
| "method": "Initial condition generated by sampling complex Fourier coefficients with random amplitude and phase, truncated using a low-pass filter. A small real offset is added to the zero mode." | |
| }, | |
| "2d_animations": { | |
| "mode": "physical", | |
| "duration_sec": 10, | |
| "fps": 20, | |
| "dt_output": 1.0 | |
| }, | |
| "dataset_global_statistics": { | |
| "channel_0": { | |
| "mean": -0.000911, | |
| "std": 1.443809, | |
| "min": -7.712518, | |
| "max": 6.802481 | |
| } | |
| }, | |
| "generation_metadata": { | |
| "generation_time": "10.61 seconds", | |
| "dataset_shape": [20, 1, 4, 128, 128] | |
| } | |
| } | |