piv_velocity_gradient — PIV `field` op

• Data kinds: flow2d → table

• Call: import pivops; pivops.piv_velocity_gradient(flow, spacing=1.0) (or opspiv.get("piv_velocity_gradient"))

Usage

> This operator's description has not been translated yet. The original text follows as it is.

速度勾配テンソルの成分と、そこから出る量をまとめて返す。

渦度・発散・Q 基準・渦回転強度・ひずみ速度はすべて同じ 4 つの微分から

出るので、勾配を 4 回計算し直さずに済むようにここへまとめる。個々の op

(:func:piv_vorticity など)は単独でも使えるが、複数要るならこちら。

Returns:

dict: `dudx / dudy / dvdx / dvdy(各 (h, w)`)、

`vorticity / divergence / q / swirl / strain_rate`、

`spacing`。

Detailed usage guide

• piv_displacement family guide

References (sample data, literature)

• Sample-data catalog (download URLs / licences) — 2-D uses skimage.data (BSD/public domain) plus synthetic images; 3-D lists download URLs for real data sources (Stanford, PDS, …).

• Operator provenance and references — the sources of the research/methods this op family came from.

• The canonical algorithm (author, year) and its uses are named in the family usage guide above.

Runnable examples (verified samples that actually call this op)

• (none yet)

Ops the type connects to (they accept `table` as input)

—

Same category (`field`)

piv_vorticity · piv_divergence · piv_flow_magnitude · piv_to_velocity · piv_q_criterion · piv_swirling_strength · piv_strain_rate

*Provenance: pivops.py — PIV operator registry. This per-op note is generated by tools/opdocs.py md (do not hand-edit).*

piv_velocity_gradient — PIV field op