Dual length scale two-equation modelling of the canopy turbulent kinetic energy wake budget

Within vegetation canopies, the turbulent kinetic energy (k) budget is mainly modelled through source terms added to the free-air state formulation. The dependence of the modelled source term coefficients upon a dimensionless ratio (λ) between the mixing length for turbulent transport (lm) and the relaxation length scale (lε) of Kolmogorov's relation is proposed. Using dimensional analysis, the order of magnitude variation of the terms involved in the newly proposed model for the coefficients of these source terms are derived. When λ is a constant, this generalized model results in a similarity constant (Cε 4) independent of the source term model, lending support to an earlier conjecture by Seginer. To cite this article: C. Sanz, G.G. Katul, C. R. Mecanique 335 (2007). © 2007 Académie des sciences.

Duke Scholars

Author Gabriel G. Katul Civil and Environmental Engineering