""" 06 — CFD vs POD-NN time analysis. Two figures (paper Fig 4): a) Cumulative wall-clock time crossover (CFD vs POD-NN). b) Per-component time bar chart (log scale): dataset generation, NN training, POD fit, and single inference. Both are analytical plots driven by measured timing constants. """ import numpy as np import matplotlib.pyplot as plt from _utils import PLOTS_DIR CFD_PER_ITER = 99.0 # s / CFD simulation PODNN_DATASET = 99.0 * 100 # 100 CFD sims for training PODNN_POD_TRAINING = 0.0318 # mean POD fit time, s PODNN_NN_TRAINING = 46.7705 # mean NN training time, s PODNN_TRAINING = PODNN_POD_TRAINING + PODNN_NN_TRAINING PODNN_UPFRONT = PODNN_DATASET + PODNN_TRAINING PODNN_PER_ITER = 0.24e-3 # 0.24 ms per inference def main(): n_cross = PODNN_UPFRONT / (CFD_PER_ITER - PODNN_PER_ITER) t_cross = CFD_PER_ITER * n_cross print(f"Crossover: {n_cross:.1f} iters ({t_cross/3600:.2f} hrs)") n_max = int(n_cross * 2.5) n = np.arange(0, n_max + 1) t_cfd = CFD_PER_ITER * n t_pod = PODNN_UPFRONT + PODNN_PER_ITER * n FS = 26 fig, ax = plt.subplots(figsize=(10, 6)) ax.plot(n, t_cfd / 3600, linewidth=2.5, color="tab:red", label="CFD") ax.plot(n, t_pod / 3600, linewidth=2.5, color="tab:blue", label="POD-NN") ax.axvline(n_cross, color="gray", linestyle="--", linewidth=1, alpha=0.7) ax.plot(n_cross, t_cross / 3600, "ko", markersize=10, zorder=5) ax.annotate(f"Crossover: {n_cross:.0f} iterations\n({t_cross/3600:.1f} hrs)", xy=(n_cross, t_cross / 3600), xytext=(n_cross + n_max * 0.08, t_cross / 3600 * 0.6), fontsize=FS - 8, ha="left", arrowprops=dict(arrowstyle="->", color="black", lw=1.5)) ax.set_xlabel("Number of Design Iterations", fontsize=FS) ax.set_ylabel("Cumulative Wall-Clock Time (hrs)", fontsize=FS) ax.tick_params(labelsize=FS - 4) ax.legend(fontsize=FS - 4) ax.grid(True, alpha=0.3) ax.set_xlim(0, n_max); ax.set_ylim(0, None) plt.tight_layout() PLOTS_DIR.mkdir(parents=True, exist_ok=True) out = PLOTS_DIR / "time_crossover.png" plt.savefig(out, dpi=300, bbox_inches="tight") print(f"Saved {out}") plt.close() # --- Per-component bar chart (paper Fig 4b) --- components = [ ("Dataset\nGeneration", PODNN_DATASET, "tab:orange"), ("NN\nTraining", PODNN_NN_TRAINING, "tab:blue"), ("POD\nFit", PODNN_POD_TRAINING, "tab:green"), ("Single\nInference", PODNN_PER_ITER, "tab:purple"), ] labels = [c[0] for c in components] values = [c[1] for c in components] colors = [c[2] for c in components] def fmt_time(s): if s >= 3600: return f"{s/3600:.1f} hr" if s >= 1: return f"{s:.1f} s" if s >= 1e-3: return f"{s*1e3:.1f} ms" return f"{s*1e6:.1f} µs" fig, ax = plt.subplots(figsize=(10, 6)) bars = ax.barh(labels, values, color=colors, edgecolor="white", height=0.5) ax.set_xscale("log") ax.set_xlabel("Wall-Clock Time (s)", fontsize=FS) ax.tick_params(labelsize=FS - 2) ax.grid(True, which="both", axis="x", alpha=0.3) ax.invert_yaxis() max_val = max(values) for bar, val in zip(bars, values): if val == max_val: ax.text(val * 0.6, bar.get_y() + bar.get_height() / 2, fmt_time(val), va="center", ha="right", fontsize=FS - 4, color="white", fontweight="bold") else: ax.text(val * 1.5, bar.get_y() + bar.get_height() / 2, fmt_time(val), va="center", ha="left", fontsize=FS - 4) plt.tight_layout() out_bar = PLOTS_DIR / "time_components_bar.png" plt.savefig(out_bar, dpi=300, bbox_inches="tight") print(f"Saved {out_bar}") plt.close() if __name__ == "__main__": main()