physics.fluid.water_hammer

O2: Joukowsky Δp=ρ c Δv vs a separate-module identity (≤2 ULP). Not Darcy, not minor-loss K, not Moens–Korteweg c, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated water-hammer vectors. Not catalog K, not pipe-entrance geometry, not sudden expansion (v1−v2)², not Darcy, and not Q=Av.

This summary records the outcome of the verification run. The full test corpus, oracle implementations, reference tables and generators are retained privately. Their digests identify those artifacts; a digest alone does not let a reader independently reproduce the full verification run.

Recorded result

8/8 passed

Oracle

O3 · mpmath 1.4.1

Reference table commitment (SHA-256)

21884fd4e5dcfd25d34a4caaeb7f36b97d1276dec7b29218a1d0fe5c0cafc72a

Generator commitment (SHA-256)

d5798df19c6af54a62574753cb6c42d87a6e6683627c03a1fd4871e23ae6fdad

Check a calculation

Use the capability's public input schema and examples to call the versioned REST API or MCP. These interfaces remain available without downloading the validation infrastructure. A successful example checks that example; it does not establish that the complete private suite has been independently reproduced.