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OpenMath with climate significance

The best possible accuracy of standard turbulence shortcuts

Good it would do
3 / 5
Can AI help
3 / 5
How neglected
4 / 5
Can we check it
3 / 5

Why it's stuck

Climate models lean on simplified turbulence formulas. Work on the mathematical limit of how good those formulas can ever be has only been done for simple 2D flows.

What we'd try

Extend the optimization to ocean and atmosphere-like flows to learn whether to keep tuning current formulas or replace them.

What could stop us

Optimal-estimator limits on turbulence closures already exist for idealised flows, and for ocean and atmosphere flows the limit depends heavily on the chosen variables and on costly high-resolution reference runs.

Source: https://arxiv.org/pdf/2106.03711

Do you know the answer?

One reply from someone in the field can settle what our AI can't.

Most of this won't work. We'll tell you which parts.

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