Erratum: Rotating planar gravity currents at moderate Rossby numbers: Fully resolved simulations and shallow-water modelling (Journal of Fluid Mechanics (2019) DOI: 10.1017/jfm.2019.152)

Abstract

First, we wish to clarify that in equations (3.14)-(3.15) of Salinas et al. (2019) all variables are dimensional except for the angular velocity ω and the coefficient k. After (3.15), we switch to dimensionless variables for the streamwise direction x, the front location xN, the Ekman layer δ E, the local height h (scaled by the initial height h0) and time t (scaled by 1/Ω=, with Ω the angular velocity of the rotating system). (Formula Presented). During spin-up the estimated Ri increases because decreases, and for the values of Re, Sc and C of our DNS the typical Ri is larger than 0.25. We also note that a sharp density transition layer enhances stability, and indeed the spin-up model without mixing shows better agreement for DNS with large Sc.