A pressure-driven atmospheric boundary layer model satisfying Rossby and Reynolds number similarity

Maarten Paul van der Laan*, Mark Kelly, Mads Baungaard

*Corresponding author for this work

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Abstract

Idealized models of the atmospheric boundary layer (ABL) can be used to leverage understanding of the interaction between the ABL and wind farms towards the improvement of wind farm flow modeling. We propose a pressure-driven one-dimensional ABL model without wind veer, which can be used as an inflow model for three-dimensional wind farm simulations to separately demonstrate the impact of wind veer and ABL depth. The model is derived from the horizontal momentum equations and follows both Rossby and Reynolds number similarity; use of such similarity reduces computation time and allows rational comparison between different conditions. The proposed ABL model compares well with solutions of the mean momentum equations that include wind veer if the forcing variable is employed as a free parameter.

Original languageEnglish
JournalWind Energy Science
Volume6
Issue number3
Pages (from-to)777-790
Number of pages14
ISSN2366-7443
DOIs
Publication statusPublished - 2021

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