"closure" in the kinetics to fluid model context refers to a closed expression for the heat flux or anisotropic pressure in terms of the lower order fluid varia

"closure" in the kinetics to fluid model context refers to a closed expression for the heat flux or anisotropic pressure in terms of the lower order fluid variables. You aren't really looking at a turbulence closure in the sense you're getting at in this context--for these hyperbolic models it's more about the transport than about energy partition.