Datasets:
Tasks:
Tabular Regression
Languages:
English
Size:
1K<n<10K
ArXiv:
Tags:
computational-fluid-dynamics
surrogate-modeling
proper-orthogonal-decomposition
electronics-cooling
thermal-management
reduced-order-model
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File size: 7,642 Bytes
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Shared utilities for the Curl 2026 AITF POD-NN scripts.
Provides:
- Constants (paths, field keys, hyperparameters)
- Data loading from sim_*.npz + model_setup.json
- POD-NN model build / train / predict
- Save / load trained artifacts (Keras h5 + pickled sklearn objects)
- Thermal-resistance computation
- Common matplotlib rcParams
"""
import json
import pickle
import numpy as np
import matplotlib.pyplot as plt
from pathlib import Path
from sklearn.decomposition import PCA
from sklearn.preprocessing import StandardScaler
import tensorflow as tf
from tensorflow import keras
plt.rcParams.update({"font.family": "serif", "font.serif": ["Times New Roman"]})
SCRIPT_DIR = Path(__file__).resolve().parent
PACKAGE_DIR = SCRIPT_DIR.parent
DATASET_DIR = PACKAGE_DIR / "1_Dataset"
ANALYZED_DIR = PACKAGE_DIR / "2_AnalyzedData"
MODEL_DIR = ANALYZED_DIR / "trained_model"
PLOTS_DIR = ANALYZED_DIR / "plots"
FIELD_KEY = "yz-mid|temperature"
COORD_KEY = "yz-mid|coordinates"
TRAIN_SIZE = 100
TEST_SIZE = 400
N_MODES = 4
EPOCHS = 500
RANDOM_SEED = 42
CHIP_AREA = 0.0016 # m^2
# Raw parameter index map (sorted DOE order)
PARAM_IDX = {
"Q1": 0, # chip1.thermal.heat_flux
"Q2": 1, # chip2.thermal.heat_flux
"m1": 2, # inlet1.momentum.mass_flow_rate
"T_in1": 3, # inlet1.thermal.total_temperature
"m2": 4, # inlet2.momentum.mass_flow_rate
"T_in2": 5, # inlet2.thermal.total_temperature
}
def load_data():
"""Load DOE parameters, fields, and yz-mid spatial coordinates.
Returns
-------
parameters : (n_samples, 6) ndarray
fields : (n_samples, n_points) ndarray, yz-mid temperature
coordinates: (n_points, 3) ndarray
param_names: list[str], len 6
"""
with open(DATASET_DIR / "model_setup.json", "r") as f:
setup = json.load(f)
doe = setup["doe_configuration"]
param_names, columns = [], []
for bc in sorted(doe.keys()):
for pname in sorted(doe[bc].keys()):
vals = doe[bc][pname]
if isinstance(vals, list):
param_names.append(f"{bc}.{pname}")
columns.append(vals)
parameters = np.array(columns).T
sim_files = sorted(DATASET_DIR.glob("sim_*.npz"))
assert len(sim_files) == parameters.shape[0]
fields = []
coords = None
for f in sim_files:
d = np.load(f, allow_pickle=True)
fields.append(d[FIELD_KEY])
if coords is None:
coords = d[COORD_KEY]
fields = np.array(fields)
return parameters, fields, coords, param_names
def build_pod_nn(input_dim, n_modes):
"""3-layer NN: 64 -> 64 -> 32 -> n_modes."""
model = keras.Sequential([
keras.layers.Input(shape=(input_dim,)),
keras.layers.Dense(64, activation="relu",
kernel_regularizer=keras.regularizers.l2(0.001)),
keras.layers.Dropout(0.1),
keras.layers.Dense(64, activation="relu",
kernel_regularizer=keras.regularizers.l2(0.001)),
keras.layers.Dropout(0.1),
keras.layers.Dense(32, activation="relu",
kernel_regularizer=keras.regularizers.l2(0.001)),
keras.layers.Dense(n_modes),
])
model.compile(optimizer=keras.optimizers.Adam(learning_rate=0.001),
loss="mse", metrics=["mae"])
return model
def train_pod_nn(X_train, Y_train, n_modes=N_MODES,
validation_split=0.2, epochs=EPOCHS, verbose=0):
"""Fit POD then NN. Returns dict of artifacts + history."""
n_train = int(len(X_train) * (1 - validation_split))
n_modes = min(n_modes, n_train, Y_train.shape[1])
pca = PCA(n_components=n_modes)
modes = pca.fit_transform(Y_train)
param_scaler = StandardScaler().fit(X_train)
mode_scaler = StandardScaler().fit(modes)
X_s = param_scaler.transform(X_train)
M_s = mode_scaler.transform(modes)
nn = build_pod_nn(X_train.shape[1], n_modes)
monitor = "loss" if validation_split == 0.0 else "val_loss"
callbacks = [
keras.callbacks.EarlyStopping(monitor=monitor, patience=80,
restore_best_weights=True,
min_delta=1e-7, start_from_epoch=30),
keras.callbacks.ReduceLROnPlateau(monitor=monitor, factor=0.5,
patience=15, min_lr=1e-7),
]
history = nn.fit(X_s, M_s,
validation_split=validation_split,
epochs=epochs, batch_size=8,
callbacks=callbacks, verbose=verbose)
return {
"pca": pca,
"param_scaler": param_scaler,
"mode_scaler": mode_scaler,
"nn_model": nn,
"n_modes": n_modes,
"history": history.history,
}
def predict_field(trained, X):
"""X (n, 6) -> Y (n, n_points)."""
X_s = trained["param_scaler"].transform(X)
M_s = trained["nn_model"].predict(X_s, verbose=0)
M = trained["mode_scaler"].inverse_transform(M_s)
return trained["pca"].inverse_transform(M)
def save_artifacts(trained, model_dir=MODEL_DIR):
"""Persist NN (h5), PCA + scalers (pkl), history (json)."""
model_dir = Path(model_dir)
model_dir.mkdir(parents=True, exist_ok=True)
trained["nn_model"].save(model_dir / "pod_nn.h5")
with open(model_dir / "pca.pkl", "wb") as f:
pickle.dump(trained["pca"], f)
with open(model_dir / "param_scaler.pkl", "wb") as f:
pickle.dump(trained["param_scaler"], f)
with open(model_dir / "mode_scaler.pkl", "wb") as f:
pickle.dump(trained["mode_scaler"], f)
with open(model_dir / "training_history.json", "w") as f:
json.dump(trained["history"], f)
print(f"Saved trained artifacts to {model_dir}")
def load_artifacts(model_dir=MODEL_DIR):
"""Inverse of save_artifacts."""
model_dir = Path(model_dir)
nn = keras.models.load_model(model_dir / "pod_nn.h5", compile=False)
with open(model_dir / "pca.pkl", "rb") as f:
pca = pickle.load(f)
with open(model_dir / "param_scaler.pkl", "rb") as f:
param_scaler = pickle.load(f)
with open(model_dir / "mode_scaler.pkl", "rb") as f:
mode_scaler = pickle.load(f)
with open(model_dir / "training_history.json", "r") as f:
history = json.load(f)
return {
"pca": pca,
"param_scaler": param_scaler,
"mode_scaler": mode_scaler,
"nn_model": nn,
"n_modes": pca.n_components_,
"history": history,
}
def compute_rth(fields, coords, parameters):
"""Per-chip thermal resistance Rth = (Tmax_chip - T_inlet) / Q.
Geometry: chip1 = right (z >= z_mid), chip2 = left (z < z_mid).
"""
z = coords[:, 2]
z_mid = (z.min() + z.max()) / 2
right = z >= z_mid
left = z < z_mid
Q1 = parameters[:, PARAM_IDX["Q1"]] * CHIP_AREA
Q2 = parameters[:, PARAM_IDX["Q2"]] * CHIP_AREA
T_in1 = parameters[:, PARAM_IDX["T_in1"]]
T_in2 = parameters[:, PARAM_IDX["T_in2"]]
n = len(fields)
tmax1 = np.array([fields[i, right].max() for i in range(n)])
tmax2 = np.array([fields[i, left].max() for i in range(n)])
rth1 = (tmax1 - T_in1) / Q1
rth2 = (tmax2 - T_in2) / Q2
return rth1, rth2, tmax1, tmax2
def yz_mm(coords):
"""Centered Y/Z coordinates in mm for plotting."""
y = coords[:, 1]
z = coords[:, 2]
y = np.round((y - (y.min() + y.max()) / 2) * 1000, 1)
z = np.round((z - (z.min() + z.max()) / 2) * 1000, 1)
return y, z
def seed_all(seed=RANDOM_SEED):
np.random.seed(seed)
tf.random.set_seed(seed)
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