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Public evidence

physics.fluid.wave_celerity

Machine-checked verification for calculation version 1.0.0 · tier engine_tested

CVP status

CVP VERIFIED · CVP protocol 1.0.0-proposed · Engineering assurance · c = √[(K/ρ)/(1+(K D)/(E e))] (Korteweg–Hall) with bulk and Young's solves; + O3 mpmath tabulated c.

Not Joukowsky. O3 tabulated vectors only.

Declared partition coverage
PASS · 5/5 declared partitions (celerity, solve, alias, awkward, invalid-domain)
Versions
Calculation 1.0.0 · CVP protocol 1.0.0-proposed · Evidence 2026-09-26.o2-o3
Verification revision
2026-09-26.o2-o3 · 1/1 property · digest f30a3f84b3d2

Verification

Legacy regression suite: 17/17 calculation tests · Production surface contract 5/5

Three distinct suites: educational examples on the calculator page, this legacy regression count (17/17 golden + boundary), and the CVP verification suite below. They are not the same number. Property, metamorphic, round-trip, O3, and interface statuses/checks are recorded in the CVP Manifest . SKIP (0/0) means that suite has no published vectors.

    This calculator CURRENT · Public schema 1.0.0 matches · Semantic contract ✓ · Production attested · Public/cache ✓ · Origin ✓

CVP verification suite

Protocol checks from the Evidence Manifest. Distinct from the legacy regression suite above. Verification revision 2026-09-26.o2-o3. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 10/10 CVP boundary · 11/11 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 5/5 CVP contract. digest f30a3f84b3d2. O2: Korteweg–Hall c=√[(K/ρ)/(1+(K D)/(E e))] vs a separate-module identity (≤2 ULP). Not Joukowsky Δp, not Darcy, not minor-loss K, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated wave-celerity vectors. Not catalog K, not pipe-entrance geometry, not sudden expansion (v1−v2)², not Darcy, and not Q=Av.

  • Golden (oracle-backed) 4 / 4
  • CVP boundary 10 / 10
  • Invalid input 11 / 11
  • Property 1 / 1
  • Metamorphic 1 / 1
  • O3 high-precision 8 / 8
  • Cross-interface 2 / 2
  • CVP contract 5 / 5
  • Interfaces PASS · UI (SSR) / REST / MCP
  • Interface claim ui-ssr is query-result HTML, not a live browser session. Error-path engine·REST·MCP 1/1 (status, code, calculation_version). SSR compared on URL-canonical requested calculations; empty query is idle (not an error) and JSON-typed object/array inputs are REST/MCP-only.
  • Verified scope c = √[(K/ρ)/(1+(K D)/(E e))] (Korteweg–Hall) with bulk and Young's solves; + O3 mpmath tabulated c.
  • Assurance Engineering
  • Deferred Not Joukowsky Δp, not Darcy, not minor-loss K, not Poisson restraint ψ, and not Q=Av.
  • release artifacts aligned PASS
  • schema output required declared PASS
  • schema valid input executes PASS
  • engine success output validates schema PASS
  • rest success payload validates schema PASS

Fingerprint sha256:dfcffb8e60b5a388665e4e0f26e0d90f8eeb99ee7b25e345de0f1e39e98710af

Input schema sha256:170f5f6153b30b6c2ac8890c7d6a80a829c63648e01a33577749fcbdb3e956e1 · Output schema sha256:bf10f686d6e3d6fcf12c21db54d403315ed02b988a7d91539fd42536bf19218a · Build-time SHA-256 digests prove published artifacts agree with each other (release_integrity.scope=workspace). Production attestation GETs canonical URLs twice (public/cached view and origin), including Capability HTML, via npm run attest:production --write (published at /.well-known/calculatorx-production-attestation.json) and fails if the public Capability page advertises a different calculation_version. This is artifact consistency, not an independent immutable release log.

Build & scope

Engine identity and declared limitations.

Tool
wave-celerity
Engine
wave-celerity
Engine build
2026-09-17
Evidence core
2026-09-17T09:45:11.688Z
Rendered
2026-11-10T05:18:41.948Z
Last reviewed
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Assumptions

  • Korteweg–Hall wave celerity: c = √[(K/ρ)/(1+(K D)/(E e))]; default ρ=1000 kg/m³; thin wall; ψ=1
  • K is fluid bulk modulus, E is wall Young’s modulus; not Joukowsky Δp=ρcΔv
  • Not Darcy f, not minor-loss K, not Q=Av, not Y=(F/A)/(ΔL/L0)

Limitations

  • Korteweg–Hall wave celerity: c = √[(K/ρ)/(1+(K D)/(E e))]; default ρ=1000 kg/m³; thin wall; ψ=1
  • K is fluid bulk modulus, E is wall Young’s modulus; not Joukowsky Δp=ρcΔv
  • Not Darcy f, not minor-loss K, not Q=Av, not Y=(F/A)/(ΔL/L0)

Sources

Standards and references supporting this tool specification. Methods are listed separately — they are algorithms, not bibliographic sources.

Verification disclosure

Aggregate outcomes, scope and artifact commitments are public. Complete test inputs, expected values, execution records and oracle infrastructure are retained privately. This summary does not independently reproduce the full verification run.