Navier-Stokes
NavierStokes-2DNavierStokes-2D-conditonednavier-stokes-dataset
Navier Stokes Dataset of Isotropic Turbulence in a periodic box
The dataset for tensor-to-tensor or trajectory-to-trajectory neural operators, generated from Navier-Stokes equations
to model the isotropic turbulence [1] such that the spectra satisfy the inverse cascade discovered by A.N. Kolmogorov [2].
[1]: McWilliams, J. C. (1984). The emergence of isolated coherent vortices in turbulent flow. Journal of Fluid Mechanics, 146, 21-43.
[2]: Kolmogorov, A. N. (1941). The local… See the full description on the dataset page: https://huggingface.co/datasets/scaomath/navier-stokes-dataset.PreGen-NavierStokes-2D
PreGen Navier-Stokes 2D Dataset
Paper | Project Page | Code
Dataset Description
This dataset accompanies the research paper Pre-Generating Multi-Difficulty PDE Data For Few-Shot Neural PDE Solvers (under review at ICLR 2026). It contains systematically generated 2D incompressible Navier-Stokes fluid flow simulations designed to study difficulty transfer in neural PDE solvers.The key insight: by pre-generating many low and medium difficulty examples and including them… See the full description on the dataset page: https://huggingface.co/datasets/sage-lab/PreGen-NavierStokes-2D.1D-Compressible-Navier-Stokesnavier-stokes-1e-5