Duct Acoustics — wave propagation in ducts / silencers L1-269

AcousticsModal transmission in non-uniform ductsδ=3 · standardL_DAG = 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.

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Forward model E

A (x + d x) = T (k x, M, Z_{l} in er) A (x); A = [p_{+}, p_{-}]^{T} am pl i t u d es

Duct Acoustics — wave propagation in ducts / silencers forward model.

L-DAG

L.modal_decomp -> L.transfer_matrix -> L.impedance_BC -> int.frequency

L.modal_decompL.transfer_matrixL.impedance_BCint.frequency

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 240

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: Transfer-Matrix, Mode-match, DG-acoustic
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.