physics.fluid.darcy_weisbach

O2: Darcy–Weisbach vs a separate-module identity (≤2 ULP). Not Colebrook f, not Manning, not Hazen–Williams, and not Q=Av. ≤2 ULP vs O3 applies only to the published tabulated Darcy–Weisbach vectors. Not Colebrook f, not Manning, not Hazen–Williams, 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)

95da1bfc2e1ed84763ffd5d4828c5014308e76735101957e65994436423c68a1

Generator commitment (SHA-256)

d396300c4c8e866c3489a0075066a2ad8a9aafeb035fa859f17cced2d349e3f5

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.