File size: 2,044 Bytes
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"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]
}
}
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