Table 15 Derived label fields available in the dataset.

From: A curated dataset for data-driven turbulence modelling

Quantity

Units

Symbol

Field name

Expression

Labels from DNS/LES

  Reynolds stress tensor

m2/s2

τ

tau

\(\left[\begin{array}{ccc}\bar{u{{\prime} }^{2}} & \overline{u{\prime} v{\prime} } & \overline{u{\prime} w{\prime} }\\ \overline{u{\prime} v{\prime} } & \bar{v{{\prime} }^{2}} & \overline{v{\prime} w{\prime} }\\ \overline{u{\prime} w{\prime} } & \overline{v{\prime} w{\prime} } & \bar{w{{\prime} }^{2}}\end{array}\right]\)

  Turbulent kinetic energy

m2/s2

k

k

\(\frac{1}{2}{\rm{trace}}(\tau )\)

  Non-dimensional anisotropy tensor

b

b

\(\frac{\tau }{2k}-\frac{1}{3}I\)