Geostrophic drag law for conventionally neutral atmospheric boundary layers revisited

The geostrophic drag law (GDL), which predicts the geostrophic drag coefficient and the cross-isobaric angle, is relevant for meteorological applications such as wind energy. For conventionally neutral atmospheric boundary layers (CNBLs) capped by an inversion, the GDL coefficients A and B are affected by the inversion strength and latitude, expressible via the ratio of the Brunt–Väisälä frequency (N) to the Coriolis parameter (f). We present large-eddy simulations (LES) covering a wider range of N/|f| than considered previously, and show that A and B obtained from carefully performed LES collapse to a single curve when plotted against N/|f|. This verifies the GDL for CNBLs over an extended range of N/|f| within LES. Additionally, in agreement with atmospheric observations, we show that using A = 1.9 and B = 4.4 accurately predicts the geostrophic drag coefficient in the limit of weak inversion strength or high latitude ((Formula presented.)). However, due to the strong dependence of B on N/|f|, corresponding predictions for the cross-isobaric angle are less accurate. As we find significant deviations between the LES results and the original parameterization of the GDL for CNBLs, we update the corresponding model coefficients