This work aims at introducing model methodology and numerical studies related to a Lagrangian stochastic approach applied to the computation of the wind circulation around mills. We adapt the Lagrangian stochastic downscaling method that we have introduced in [3] and [4] to the atmospheric boundary layer and we introduce here a Lagrangian version of the actuator disc methods to take account of the mills. We present our numerical method and numerical experiments in the case of non rotating and rotating actuator disc models. First, for validation purpose we compare some numerical experiments against wind tunnel measurements. Second we perform some numerical experiments at the atmospheric scale and present some features of our numerical method, in particular the computation of the probability distribution of the wind in the wake zone, as a byproduct of the fluid particle model and the associated PDF method.
DOI: 10.5802/smai-jcm.13
Mireille Bossy 1; José Espina 2; Jacques Moricel 2; Cristián Paris 2; Antoine Rousseau 3
@article{SMAI-JCM_2016__2__177_0,
author = {Mireille Bossy and Jos\'e Espina and Jacques Moricel and Cristi\'an Paris and Antoine Rousseau},
title = {Modeling the wind circulation around mills with a {Lagrangian} stochastic approach},
journal = {The SMAI Journal of computational mathematics},
pages = {177--214},
publisher = {Soci\'et\'e de Math\'ematiques Appliqu\'ees et Industrielles},
volume = {2},
year = {2016},
doi = {10.5802/smai-jcm.13},
zbl = {1416.76242},
mrnumber = {3633549},
language = {en},
url = {https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.13/}
}
TY - JOUR AU - Mireille Bossy AU - José Espina AU - Jacques Moricel AU - Cristián Paris AU - Antoine Rousseau TI - Modeling the wind circulation around mills with a Lagrangian stochastic approach JO - The SMAI Journal of computational mathematics PY - 2016 SP - 177 EP - 214 VL - 2 PB - Société de Mathématiques Appliquées et Industrielles UR - https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.13/ DO - 10.5802/smai-jcm.13 LA - en ID - SMAI-JCM_2016__2__177_0 ER -
%0 Journal Article %A Mireille Bossy %A José Espina %A Jacques Moricel %A Cristián Paris %A Antoine Rousseau %T Modeling the wind circulation around mills with a Lagrangian stochastic approach %J The SMAI Journal of computational mathematics %D 2016 %P 177-214 %V 2 %I Société de Mathématiques Appliquées et Industrielles %U https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.13/ %R 10.5802/smai-jcm.13 %G en %F SMAI-JCM_2016__2__177_0
Mireille Bossy; José Espina; Jacques Moricel; Cristián Paris; Antoine Rousseau. Modeling the wind circulation around mills with a Lagrangian stochastic approach. The SMAI Journal of computational mathematics, Volume 2 (2016), pp. 177-214. doi : 10.5802/smai-jcm.13. https://smai-jcm.centre-mersenne.org/articles/10.5802/smai-jcm.13/
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