physics.fluid.trapezoid_hydraulic_jump

• Golden tests 0 / 0
• Boundary tests 0 / 0
• Property tests 6 / 6
• Production surface contract 1 / 1
}
• Engine tested Yes
• Source checked Yes
• Artifact integrity PASS
• Production attestation Embedded snapshot: unpublished · Build schema 1.0.0 ready · Semantic contract ✓ · Attestation report not published on origin · Live production status PASS (0 stale; 164 CURRENT) @ 2026-09-18T21:41:56.329Z
• Semantic contract PASS
• Evidence attested at 2026-09-18T21:41:55.460Z
• Last production check 2026-09-18T21:41:55.460Z
• Public / cache —
• Origin —
• Supplemental domain review Not performed
• Named expert review Not performed

• release artifacts aligned PASS

Fingerprint sha256:a2562fc42ba1b7ba665d5e0312d184cfdbfe03d61d087e196aec49eac45fc680

Input schema sha256:87f659036ba3c3de3067d7cc33acf783a6e16a458af8a4be3833f303f69ff0cc · Output schema sha256:2d21e5326dc3179382cd12dc5967cb823fa066ac93e4629e4c9e131017bd7588 · 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

trapezoidal-hydraulic-jump

Engine

trapezoidal-hydraulic-jump

Engine build

2026-09-18

Evidence core

2026-09-18T23:10:25.945Z

Rendered

2026-09-18T23:14:09.775Z

Last reviewed

—

Assumptions

• Trapezoid hydraulic jump: sequent depths from M=Q²/(gA)+A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; z>0 is run/rise; Fr₁>1
• Unknown is y2 (sequent) or y1 (upstream invert) or ΔE (energy); Fr is reported not an input; not Bélanger y2/y1=(√(1+8Fr₁²)−1)/2
• Not rectangular sequent depths; not trapezoid alternate E-pair; not trapezoid yc; not trapezoid yn; not Manning n; not Q=Av

Limitations

• Trapezoid hydraulic jump: sequent depths from M=Q²/(gA)+A ȳ with A=(b+z y)y and ȳ=y(3b+2zy)/(6(b+zy)); SI; default g=9.80665; z>0 is run/rise; Fr₁>1
• Unknown is y2 (sequent) or y1 (upstream invert) or ΔE (energy); Fr is reported not an input; not Bélanger y2/y1=(√(1+8Fr₁²)−1)/2
• Not rectangular sequent depths; not trapezoid alternate E-pair; not trapezoid yc; not trapezoid yn; not Manning n; not Q=Av