PDEBench fluid evolution

Placeholder. This benchmark is here so the benchmark panel can be tried out. Its baseline is from the blueprint or the literature as of 2026-10-19 and must be checked again; every route and score after it is made up.

Task

Predict the evolution of eight PDE systems from PDEBench and The Well, from advection and Burgers’ equation to 3D compressible Navier–Stokes: given the first ten steps, roll the solution out autoregressively. The score is the mean normalised RMSE over the eight systems; the baseline is PDEBench’s Fourier neural operator. Routes may change the architecture or the training, or add physical constraints.

How to take part

Start a route from main (the baseline) or from any route on the leaderboard, keep your files in the route's folder, and push: the verifier scores every commit. Say what your route changes with tags, and keep the misses: a route that scores worse is a result too.