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Abstract

The goal of this paper is to demonstrate the advantages of coupling the integrated Monin-Obukhov similarity functions with an algebraic turbulence equation to resolve the profiles of temperature and velocity in the atmospheric surface layer. The latter equation is derived using the definition of turbulent viscosity from the k-ε turbulence model. The proposed surface-layer model is validated with eddy covariance and profile measurements from the CASES99 experiment and the results are compared with classic flux-profile techniques. In doing so, the relative benefits of the presented formulation become apparent. Firstly, the addition of a turbulence model improves convergence in the moderate to very stable regime. Secondly, the addition of an extra equation allows the four atmospheric parameters of interest (u*, θ*, L and z₀) to be resolved simultaneously. Furthermore, the definition of turbulent viscosity can be used to reformulate the Monin-Obukhov equations for the very stable limit.

Keywords

wind energy atmospheric stability Monin-Obukhov turbulence

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A Turbulence-Based Model for Resolving Velocity and Temperature Profiles in the Atmospheric Surface Layer

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