Research Summary

I found the analytical solution to the two-equation tubulence model within a crop-alike vegetation canopy during the late nineties, while working as a lecturer at the former Institut National Agronomique Paris-Grignon, now AgroParisTech.

This solution remained unpublished until I derived its consequences upon the wake turbulent kinetic energy budget within a dense and homogeneous canopy typical of cultivated crops.

The outcome was finally published in 2003 as a research note, which could have been entitled "A note on two-equations modelling of vegetation canopy air-flows".

Anyway, here it is - below - available for download, together with a purely theoretical dimensional analysis of the source terms for turbulent kinetic energy (k) & k viscous dissipation (ε) "wake budgets".

Articles

• A note on k-ε modelling of vegetation canopy air-flows (2003)
  This research note shows the analytical solution to the two-equation turbulence model within an homogeneous vegetation canopy. The analytical solution is then used to tune the k-ε turbulence model to the canopy-layer flow. This latter adaptation recently proved to work for any consistent turbulence model of the two-equations class.
• Dual length scale two-equation modelling of the canopy turbulent kinetic energy wake budget (2007)
  In this note we examined the behaviour of both the (C_ε4) constant for the molecular dissipation of wake kinetic energy and the (S_k) source terms for wake kinetic energy budget. We formulated the dependence of C_ε4 on the ratio between the mixing length and the length scale for ε. We shown the general form for S_k as predicted by dimensional analysis and also shown that C_ε4 always remains independent of S_k.

Technical note

• About k-ε model numerical convergence
  Willing to solve the one-dimensional problem to examine things by yourself, at low cost? May that help!

Publications

• BibTeX file (2007)
  Bibtex entries for the articles above, plus a few extras.