physics.fluid.hydraulic_jump

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 · 10/10 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 5/5 CVP contract. digest 929f014e301e. O2: sequent depth y2/y1 = ½(−1+√(1+8 Fr₁²)) vs a separate-module identity (≤2 ULP). Not trapezoid jump, not specific energy alone, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated hydraulic-jump vectors. Not trapezoid jump, not Manning, and not Q=Av.

• Golden (oracle-backed) 4 / 4
• CVP boundary 10 / 10
• Invalid input 10 / 10
• 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 Rectangular sequent depth y2/y1 = ½(−1+√(1+8 Fr₁²)) with upstream and energy solves; + O3 mpmath tabulated depths.
• Assurance Engineering
• Deferred Not trapezoidal jump, not Manning, not specific-energy alternate depth alone, 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:abbd973162745910af65ab983225e0061f8c9bcf5ea59239e954426a3755269e

Input schema sha256:9c041efc9c0f603cf0325801f10b8f90e03e49ef0f7fa74f39df5593b1e6ce4f · Output schema sha256:292f0bd466be0e5ea6c0ecf6289c63deeafed233e31469d519403ce700c6e9ab · 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.

Tool

hydraulic-jump

Engine

hydraulic-jump

Engine build

2026-09-18

Evidence core

2026-09-18T20:39:47.149Z

Rendered

2026-11-10T05:18:41.939Z

Last reviewed

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Assumptions

• Rectangular hydraulic jump: y2/y1 = (√(1+8 Fr₁²) − 1)/2; Fr₁ > 1
• ΔE = (y2 − y1)³ / (4 y1 y2); Fr₂ = Fr₁ / (y2/y1)^{3/2}
• Not a Froude wrap, not Manning, not Chezy, not a weir, not Q=Av

Limitations

• Rectangular hydraulic jump: y2/y1 = (√(1+8 Fr₁²) − 1)/2; Fr₁ > 1
• ΔE = (y2 − y1)³ / (4 y1 y2); Fr₂ = Fr₁ / (y2/y1)^{3/2}
• Not a Froude wrap, not Manning, not Chezy, not a weir, not Q=Av