Fig. 1

Plot of the TKE dissipation rate \(\varepsilon\) against \(\sigma\) (left) and the corresponding buoyancy length scale 1/k_B (right). The blue line shows the numerical model (Eq. 54). The red line shows the Weinstock (1978, 1981) formulation, while the black line is the Labitt formulation. Note that because the constant C_K < 1, the numerical model does not asymptote to Weinstock and Labitt values