DNS — direct numerical simulation L1-180

Fluid DynamicsFull resolution of Kolmogorov scalesδ=10 · hardL_DAG = 3.5📋 Stub — not mineable

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Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

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Forward model E

F u l l N S w i t h o u t an y t u r b u l e n ce m o d e l; g r i d s u f f i c i e n tt or eso l v eK o l m o g or o v e t a

DNS — direct numerical simulation forward model.

L-DAG

L.momentum -> L.continuity -> L.spectral_or_fd -> int.temporal

L.momentumL.continuityL.spectral_or_fdint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 800

Most-expensive; Re^{9/4} grid points required.

Solvability C

Solver class:: Pseudo-spectral, Nek5000-DNS, OpenFOAM-DNS
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.