SPH — smoothed particle hydrodynamics L1-186

Fluid DynamicsLagrangian meshfree SPHδ=5 · challengingL_DAG = 3.3📋 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

r h o_{i} = j \sum m_{j} W_{i} j; d u_{i} / d t = - j \sum m_{j} (p_{i} / r h o_{i}^{2} + p_{j} / r h o_{j}^{2}) g r a d W_{i} j + ...

SPH — smoothed particle hydrodynamics forward model.

L-DAG

L.kernel_approx -> L.momentum -> L.density -> int.temporal

L.kernel_approxL.momentumL.densityint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 400

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: DualSPHysics, LIGGGHTS-SPH, SPH-Net
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.