Dans la canopée, la modélisation du bilan de sillage de l'énergie cinétique turbulente (k) repose principalement sur des termes source additionnels. Nous avons déterminé la relation entre les coefficients des modèles usuels de termes source et le rapport sans dimension (λ) entre l'échelle de longueur du transport turbulent () et celle de la relation de Kolmogorov (). Nous avons généralisé les modèles de termes source par analyse dimensionnelle et nous avons déterminé l'ordre de grandeur de la variation des différents termes. Lorsque λ est une constante, le modèle de terme source généralisé présente une constante de similitude () indépendante du modèle de termes source, ce qui tend à confirmer la conjecture de Seginer.
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 () and the relaxation length scale () 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 () independent of the source term model, lending support to an earlier conjecture by Seginer.
Accepté le :
Publié le :
Mot clés : Turbulence, Dissipation, Couvert végétal, Milieu turbide, Modèle de turbulence, Sillages
Christophe Sanz 1 ; Gabriel G. Katul 2
@article{CRMECA_2007__335_11_685_0, author = {Christophe Sanz and Gabriel G. Katul}, title = {Dual length scale two-equation modelling of the canopy turbulent kinetic energy wake budget}, journal = {Comptes Rendus. M\'ecanique}, pages = {685--690}, publisher = {Elsevier}, volume = {335}, number = {11}, year = {2007}, doi = {10.1016/j.crme.2007.07.005}, language = {en}, }
TY - JOUR AU - Christophe Sanz AU - Gabriel G. Katul TI - Dual length scale two-equation modelling of the canopy turbulent kinetic energy wake budget JO - Comptes Rendus. Mécanique PY - 2007 SP - 685 EP - 690 VL - 335 IS - 11 PB - Elsevier DO - 10.1016/j.crme.2007.07.005 LA - en ID - CRMECA_2007__335_11_685_0 ER -
Christophe Sanz; Gabriel G. Katul. Dual length scale two-equation modelling of the canopy turbulent kinetic energy wake budget. Comptes Rendus. Mécanique, Volume 335 (2007) no. 11, pp. 685-690. doi : 10.1016/j.crme.2007.07.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2007.07.005/
[1] A higher closure model for canopy flow, J. Appl. Meteorol., Volume 16 (1977), pp. 1197-1205
[2] An analytical one-dimensional second-order closure model of turbulence statistics and the lagrangian time scale within and above plant canopies of arbitrary structure, Boundary-Layer Meteorol., Volume 91 (1999), pp. 81-107
[3] One and two equation models for canopy turbulence, Boundary-Layer Meteorol., Volume 113 (2004), pp. 81-109
[4] Turbulence in plant canopies, Annu. Rev. Fluid Mech., Volume 32 (2000), pp. 519-571
[5] A second order closure model for flow through vegetation, Boundary-Layer Meteorol., Volume 42 (1988) no. 4, pp. 371-392
[6] Modelling turbulent air flow in a stand of widely-spaced trees, Phoenics J., Volume 5 (1992) no. 3, pp. 294-312
[7] Organized structures in developing turbulent flow within and above a plant canopy, using a large eddy simulation, Boundary-Layer Meteorol., Volume 68 (1994), pp. 237-257
[8] E–ε modelling of turbulent air-flow downwind of a model forest edge, Boundary-Layer Meteorol., Volume 77 (1996), pp. 21-44
[9] Numerical modelling of the turbulent flow developing within and over a 3-d building array, part II: A mathematical foundation for a distributed drag force approach, Boundary-Layer Meteorol., Volume 114 (2005), pp. 245-285
[10] Spectral transport model for turbulence, Theor. Comp. Fluid Dyn., Volume 8 (1996) no. 1, pp. 1-35
[11] Aerodynamic roughness of vegetated surfaces, Boundary-Layer Meteorol., Volume 5 (1974) no. 4, pp. 383-393
[12] A note on modelling of vegetation canopy air-flows, Boundary-Layer Meteorol., Volume 108 (2003), pp. 191-197
[13] Improving the eddy kinetic energy model for planetary boundary layer description, Boundary-Layer Meteorol., Volume 25 (1983), pp. 63-88
[14] The numerical computation of turbulent flows, Comp. Methods Appl. Mech. Eng., Volume 3 (1974), pp. 269-289
Cité par Sources :
Commentaires - Politique