A novel approach for deriving the stable boundary layer height and eddy viscosity profiles from the Ekman equations

TL;DR

This paper introduces a new method for solving the Ekman equations to derive eddy viscosity profiles in the stable boundary layer, successfully rediscovering a classical boundary layer height expression.

Contribution

The paper presents a novel approach to solve Ekman equations, leading to a new derivation of the stable boundary layer height expression.

Findings

Successful derivation of eddy viscosity profiles

Rediscovery of Zilitinkevich's boundary layer height expression

New method enhances understanding of stable boundary layer dynamics

Abstract

In this study, we utilize a novel approach to solve the Ekman equations for eddy viscosity profiles in the stable boundary layer. By doing so, a well-known expression for the stable boundary layer height by Zilitinkevich (Boundary-Layer Meteorology, 1972, Vol. 3, 141--145) is rediscovered.