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Richards Equation — unsaturated variably-saturated flow L1-189
Fluid DynamicsRichards eqn for unsaturated flowδ=5 · challengingL_DAG = 3.3📋 Stub — not mineable
📋
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.
Forward model E
Richards Equation — unsaturated variably-saturated flow forward model.
L-DAG
L.nonlinear_conductivity -> L.continuity -> L.capillary_pressure -> int.temporal
L.nonlinear_conductivityL.continuityL.capillary_pressureint.temporal
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 440
Highly nonlinear; degenerate in dry limit.
Solvability C
- Solver class:
- HYDRUS, ParFlow, Richards-Net
- Convergence rate q:
- 1.5
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.