  We provide a numerical validation of a recently proposed phenomenological
theory to characterize the space-time statistical properties of a turbulent
puff, both in terms of bulk properties, such as the mean velocity, temperature
and size, and scaling laws for velocity and temperature differences both in the
viscous and in the inertial range of scales. In particular, apart from the more
classical shear-dominated puff turbulence, our main focus is on the recently
discovered new regime where turbulent fluctuations are dominated by buoyancy.
The theory is based on an adiabaticity hypothesis which assumes that
small-scale turbulent fluctuations rapidly relax to the slower large-scale
dynamics, leading to a generalization of the classical Kolmogorov and
Kolmogorov-Obukhov-Corrsin theories for a turbulent puff hosting a scalar
field. We validate our theory by means of massive direct numerical simulations
finding excellent agreement.
