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A Note on Two-Equation Closure Modelling of Canopy Flow

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Abstract

The note presents a rational approach to modelling the source/sink due to vegetation or buoyancy effects that appear in the turbulent kinetic energy, E, equation and a supplementary equation for a length-scale determining variable, φ, when two-equation closure is applied to canopy and atmospheric boundary-layer flows. The approach implements only standard model coefficients C φ1 and C φ2 in the production and destruction terms of the φ equation, respectively. Numerical tests illustrate the practical applicability of the method, where, for example, simulations with the E–ω model (where \({\varphi=\omega=\varepsilon/E}\) is the specific dissipation and \({\varepsilon}\) is the dissipation rate of E) properly reproduce both the surface-layer wind profile estimated from the Monin-Obukhov similarity theory and the mixing-height evolution observed above forested terrain in Southern Finland.

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  1. Wind Energy Division, Risø National Laboratory for Sustainable Energy, Technical University of Denmark, Building 118, Box 49, 4000, Roskilde, Denmark

    Andrey Sogachev

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  1. Andrey Sogachev
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Correspondence to Andrey Sogachev.

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Sogachev, A. A Note on Two-Equation Closure Modelling of Canopy Flow. Boundary-Layer Meteorol 130, 423–435 (2009). https://doi.org/10.1007/s10546-008-9346-2

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