Darcy Flow — low-Re porous-medium flow L1-188

Fluid DynamicsLinear Darcy's law in porous mediaδ=3 · standardL_DAG = 2.8📋 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

u = - k / m u \cdot g r a d p; d i v (u) = 0 (s t e a d y); B C so nin f l o w / o u t f l o w

Darcy Flow — low-Re porous-medium flow forward model.

L-DAG

L.darcy_linear -> L.mass_conservation -> L.bc -> int.spatial

L.darcy_linearL.mass_conservationL.bcint.spatial

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 200

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: FEM-Darcy, MixedFEM, Darcy-NN
Convergence rate q:: 2
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.