Hydrostatic stratification of density, gas pressure, pseudo-entropy (p/ρ^γ), and gravity at t = 0 in the problem of turbulent convection and wave excitation at a convective boundary, based on the initial conditions provided in Andrassy et al. (2022). The distribution of the mass fractional abundance of a passive tracer (X) and the heat source ($\dot{q}$) are also shown, here represented by a dash-dotted pink and dashed black line, respectively. In this setup, the gravitational acceleration smoothly turns to zero at the bottom and top boundaries of the spatial domain to make the problem consistent with the usage of reflecting, stress free boundary conditions, which for the gas pressure imply ∂p/∂y = 0.