File size: 3,074 Bytes
484b847 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 | import h5py
from pdeinvbench.data.utils import extract_params_from_path
from pdeinvbench.utils.types import PDE
from pdeinvbench.utils.test_utils import create_gif_and_save
from pdeinvbench.losses import pde_residuals
from os import makedirs, listdir
from os.path import join
import torch
import numpy as np
import matplotlib.pyplot as plt
"""Simple script that tests the residuals for the PDEs."""
img_dir = "./test-images"
def reaction_diffusion_2d():
# 2D Reaction Diffusion
# Plot
f = "/data/shared/meta-pde/reaction-diffusion-2d/train"
files = [f for f in listdir(f) if f.endswith(".h5") or f.endswith(".hdf5")]
data_file = join(f, files[0])
data = h5py.File(data_file, "r")
x = torch.Tensor(data["0001"]["grid"]["x"][:]).unsqueeze(0)
y = torch.Tensor(data["0001"]["grid"]["y"][:]).unsqueeze(0)
t = torch.Tensor(data["0001"]["grid"]["t"][:]).unsqueeze(0)
sol = torch.Tensor(data["0001"]["data"])
sol = sol.unsqueeze(0) # Batch dim
sol = torch.permute(sol, (0, 1, 4, 2, 3)) # B x T x C x X x Y
pde_params = extract_params_from_path(files[0], PDE.ReactionDiffusion2D)
# Compute the residuals
residual_func = pde_residuals.get_pde_residual_function(PDE.ReactionDiffusion2D)
residual = residual_func(sol, pde_params, [x, y], t, return_partials=False)
eqn1 = residual[:, :, 0]
eqn1_scalar = torch.nn.functional.mse_loss(eqn1, torch.zeros_like(eqn1))
eqn2 = residual[:, :, 1]
eqn2_scalar = torch.nn.functional.mse_loss(eqn2, torch.zeros_like(eqn2))
eqn1 = eqn1.squeeze()
eqn2 = eqn2.squeeze()
sol = sol.squeeze() # Remove batch dim of sol
# Visualize as GIFs
create_gif_and_save(
eqn1,
join(img_dir, "2d-reaction-diffusion-eqn1.gif"),
cmap="magma",
title=f"2D Reaction Diffusion u Residual {eqn1_scalar}",
)
create_gif_and_save(
eqn2,
join(img_dir, "2d-reaction-diffusion-eqn2.gif"),
cmap="magma",
title=f"2D Reaction Diffusion v Residual {eqn2_scalar}",
)
create_gif_and_save(
torch.abs(eqn1) > 1e-2,
join(img_dir, "2d-reaction-diffusion-eqn1-1e-2.gif"),
cmap="PuRd",
title=f"2D Reaction Diffusion u Residual (Threshold 1e-2)",
)
create_gif_and_save(
torch.abs(eqn2) > 1e-2,
join(img_dir, "2d-reaction-diffusion-eqn2-1e-2.gif"),
cmap="PuRd",
title=f"2D Reaction Diffusion v Residual (Threshold 1e-2)",
)
create_gif_and_save(
torch.abs(eqn1) > 1e-4,
join(img_dir, "2d-reaction-diffusion-eqn1-1e-4.gif"),
cmap="PuRd",
title=f"2D Reaction Diffusion u Residual (Threshold 1e-4)",
)
create_gif_and_save(
torch.abs(eqn2) > 1e-4,
join(img_dir, "2d-reaction-diffusion-eqn2-1e-4.gif"),
cmap="PuRd",
title=f"2D Reaction Diffusion v Residual (Threshold 1e-4)",
)
def main():
### Folder to plot images ###
makedirs(img_dir, exist_ok=True)
# Test residuals
reaction_diffusion_2d()
if __name__ == "__main__":
main()
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