physics.fluid.submerged_weir

Three distinct suites: educational examples on the calculator page, this legacy regression count (6/6 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 2026-10-28.meta-metrics-v2. Calculation version 1.0.0. CVP 1.0.0-proposed. 4/4 golden · 1/1 CVP boundary · 3/3 invalid · 1/1 property · 1/1 metamorphic · 8/8 O3 · 2/2 cross-interface · 6/6 CVP contract. digest e196656beded. O2: Villemonte rectangular submerged weir vs a separate-module identity (≤2 ULP). Not free-flow thin-plate H only, not ogee Hd, not side weir, not Manning, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated submerged-weir vectors. Not free-flow thin-plate H only, not ogee Hd, not side weir, not Manning, and not Q=Av.

• Golden (oracle-backed) 4 / 4
• CVP boundary 1 / 1
• Invalid input 3 / 3
• Property 1 / 1
• Metamorphic 1 / 1
• O3 high-precision 8 / 8
• Cross-interface 2 / 2
• CVP contract 6 / 6
• 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 Villemonte 1947 rectangular submerged weir Qs=Qf [1−(H2/H1)^{1.5}]^{0.385} with Qf=(2/3) Cd L √(2g) H1^{3/2}, + O3 mpmath tabulated Q.
• Assurance Engineering
• Deferred Not free-flow thin-plate H only, not V-notch, not ogee Hd, not side weir, not Manning, not Q=Av.

• release artifacts aligned PASS
• schema output required declared PASS
• schema valid input executes PASS
• engine success output validates schema PASS
• schema rejects incomplete input PASS
• rest success payload validates schema PASS

Fingerprint sha256:05af7a3a0c6dc8d72e21f4a075ef0c0d18526f48801c12f4e6284e689e5bee7f

Input schema sha256:1f6b21a32f617329f54a31f47f7b19c3f3f66f6fa8ca9a82acc4395844f34ef4 · Output schema sha256:57d8a0bc73eb02ae72f8bbf3131dadcd56005659de9618fd8d80ad08ce44d0a8 · 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

submerged-weir

Engine

submerged-weir

Engine build

2026-09-24

Evidence core

2026-09-24T02:12:38.088Z

Rendered

2026-11-10T05:18:41.981Z

Last reviewed

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Assumptions

• Rectangular thin-plate; drowned nappe
• SI g=9.80665 unless given
• Villemonte n=1.5 and exponent 0.385; n is not Manning n
• Default C_d=0.62; optional C_d in (0, 1]
• Not free-flow H only, not ogee Hd, not side weir, not Manning, not Q=Av

Limitations

• Villemonte 1947 rectangular submerged weir: Qs = Qf [1−(H2/H1)^{1.5}]^{0.385}; Qf=(2/3) C_d L √(2g) H1^{3/2}; default C_d=0.62; n=1.5 is not Manning n
• Requires H1 and H2; H2/H1∈[0.20, 0.95]; H1>H2>0; C_d optional in (0, 1]; SI; rectangular thin-plate only
• Not free-flow thin-plate H only, not ogee Hd, not side weir B+Q1, not Manning n, not Q=Av, not V-notch