datasets
Training and evaluation data, with the modality, task and licence stated up front. Listed live from the Hugging Face Hub.
CFD
Navier-Stokes Simulated Flow Dataset for PINNs
Welcome to the Dataset!
Dive into the dynamic world of fluid flow with the Navier-Stokes Simulated Flow Dataset for PINNs! This collection of 10,000 simulated data points captures the essence of fluid dynamics in a 2D channel, tailored specifically for training Physics-Informed Neural Networks (PINNs). With an even split of 5,000 laminar flow and 5,000 turbulent flow points, this dataset is perfect for researchers, data… See the full description on the dataset page: https://huggingface.co/datasets/AethronPhantom/CFD.cfd-ns3d-bkm
3D Navier–Stokes BKM Blowup Search
Three-dimensional vorticity-form incompressible Navier–Stokes with vortex stretching (ω⋅∇)u(\boldsymbol{\omega}\cdot\nabla)\mathbf{u}(ω⋅∇)u, pseudospectral cuFFT C2C on a periodic cube, and BKM integral tracking. Custom CUDA kernel on NVIDIA RTX 5090.
∂tω+(u⋅∇)ω=(ω⋅∇)u+ν∇2ω
\partial_t \omega + (\mathbf{u}\cdot\nabla)\omega = (\boldsymbol{\omega}\cdot\nabla)\mathbf{u} + \nu \nabla^2 \omega
∂tω+(u⋅∇)ω=(ω⋅∇)u+ν∇2ω
u^=i(k×ω^)∥k∥2
\hat{\mathbf{u}}… See the full description on the dataset page: https://huggingface.co/datasets/cahlen/cfd-ns3d-bkm.cfd-chaotic-advection
Chirikov Standard Map Lyapunov Spectrum
Maximal Lyapunov exponent Λ(K) for the Chirikov standard map on T², computed with a custom CUDA Benettin kernel on NVIDIA RTX 5090 (sm_120).
Part of the bigcompute.science CFD conjecture program — GPU-accelerated exploration of open questions in fluid mixing and dynamical systems.
Quick Start
from datasets import load_dataset
ds = load_dataset("cahlen/cfd-chaotic-advection", "deep_sweep", split="train")
row = ds[1200]… See the full description on the dataset page: https://huggingface.co/datasets/cahlen/cfd-chaotic-advection.cfd-ns-bkm
2D Navier–Stokes BKM Diagnostic
Pseudospectral vorticity-form Navier–Stokes on a periodic torus [0,2π)2[0,2\pi)^2[0,2π)2, with the Beale–Kato–Majda (BKM) diagnostic
∫0T∥ω(⋅,t)∥L∞ dt
\int_0^T \lVert \omega(\cdot,t) \rVert_{L^\infty}\, dt
∫0T∥ω(⋅,t)∥L∞dt
tracked alongside enstrophy. Computed with a custom CUDA + cuFFT kernel on NVIDIA RTX 5090 (Blackwell, sm_120).
Part of the bigcompute.science CFD conjecture program — GPU infrastructure toward 3D BKM blowup searches. 2D… See the full description on the dataset page: https://huggingface.co/datasets/cahlen/cfd-ns-bkm.