Half-Order Stable Boundary-Layer Parametrization Without the Eddy Viscosity Approach for Use in Numerical Weather Prediction

Abstract

A turbulence parametrization for wind speed in the stable boundary layer consisting of a single empirical parameter is proposed without the use of the eddy viscosity concept or turbulent kinetic energy equation. Instead, a drag-coefficient-type formulation as a function of the bulk Richardson number has been found to be able to reproduce observed stable boundary-layer wind speeds as effectively as a model based on the eddy viscosity approach. The advantage of this simpler approach is that the model can, in theory, be modified more easily for certain applications, such as the effects of large-scale wind parks on mesoscale meteorology.

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Notes

  1. 1.

    http://www.eol.ucar.edu/projects/cases99/.

  2. 2.

    http://www.fino1.de/en/.

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Acknowledgments

This work has been funded in consecutive projects (“VERITAS” and “TUFFO”) by the German Ministries of the Environment (BMU) and of Economy and Energy (BMWi) via the PTJ (FKZ 0325060 & 0325304). Sea surface temperature measurements were provided by the German Hydrographic Agency (BSH) and Høvsøre measurements by R. Floors and S.E. Gryning (Tall Wind project, funded by the Danish Government, Sagsnr. 2104–08–0025). Thanks to Johannes Werhahn for technical support. The advice of reviewers is gratefully acknowledged.

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Foreman, R.J., Emeis, S. & Canadillas, B. Half-Order Stable Boundary-Layer Parametrization Without the Eddy Viscosity Approach for Use in Numerical Weather Prediction. Boundary-Layer Meteorol 154, 207–228 (2015). https://doi.org/10.1007/s10546-014-9969-4

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Keywords

  • Bulk Richardson number
  • Drag coefficient
  • Eddy viscosity
  • Stable boundary layer
  • Stable boundary-layer parametrization
  • Weather Research and Forecasting model
  • Wind energy