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200 Lines of Python beats $50M supercomputer – Navier-Stokes at Re=10⁸ [pdf]

200 Lines of Python beats $50M supercomputer – Navier-Stokes at Re=10⁸ [pdf]

4 comments

·November 28, 2025
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jcamlin

The secret: T³ periodic domain + Fourier orthogonality = the weak solution is just a curve in coefficient space. Not a field. A curve. Temporal lifting samples that curve densely where it bends hardest. Standard DNS crashes from CFL blowup. This doesn't - because we're not fighting the geometry, we're riding it. Results:

Taylor-Green Re=10⁵: BKM=37.1, stable through full vortex-stretching cascade Kolmogorov Re=10⁸: 0.07% dissipation error 128³ grid → 411³ effective resolution (spectral super-resolution from temporal oversampling) Hardware: 8GB laptop, no GPU

No artificial dissipation. No hyperviscosity. Unmodified Navier-Stokes unlike all other DNS. GitHub link to code and data in the paper (linked)

bediger4000

What's the significance of those particular Reynold's numbers? 10^8 seems high for incompressible flow, but maybe I misread something.

doctorpangloss

> because we're not fighting the geometry, we're riding it

Don’t let ChatGPT write summaries for you (please edit the comment to be real)

MetaConvert

I like the idea behind this. Thanks to the author.