physics.fluid.specific_energy

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 fd0952668b24. O2: E=y+v²/(2g) vs a separate-module identity (≤2 ULP). Not alternate depth, not specific force, not Froude, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated specific-energy vectors. Not alternate depth, not specific force, 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 E = y + v²/(2g) with depth and velocity solves; + O3 mpmath tabulated E.
• Assurance Engineering
• Deferred Not alternate depth, not specific force M, not Froude, 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 sha256:3d8a44aacc588095049cf010035958932598abd380ff7bd5e847832d35449ddc

Input schema sha256:99ebbe504852be356d8b50c68278b5b8319290c28246f89d3c685bff1f06b3e8 · Output schema sha256:b5c373af8cd3ad35d3f0c9733ef549cdd4447de617b080b2841b4838f24ec341 · 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

specific-energy

Engine

specific-energy

Engine build

2026-09-18

Evidence core

2026-09-18T21:01:04.213Z

Rendered

2026-11-10T05:18:41.944Z

Last reviewed

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Assumptions

• Open-channel specific energy: E = y + v² / (2g); default g=9.80665 m/s²
• Invert y = E − v²/(2g) and v = √(2g(E−y)); require E > y
• Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av

Limitations

• Open-channel specific energy: E = y + v² / (2g); default g=9.80665 m/s²
• Invert y = E − v²/(2g) and v = √(2g(E−y)); require E > y
• Not a Froude wrap, not a hydraulic jump, not Manning, not Q=Av