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Séminaire F. J. Valdés Parada

20 juillet 2018

A macroscale model for predicting momentum transport around wind turbines

Séminaire Francisco J. Valdés Parada ( Metropolitan Autonomous University, Mexico City, Mexico )

Lundi 23 avril à 14 h 30 - Amphithéâtre Nougaro

Abstract :

Wind energy is, along with solar energy, globally regarded as a the two most important renewable energy resources. In field-scale activities such as design, operation, control and optimization, it is crucial to have reliable predictions of the available wind force for each turbine. Nowadays, modeling of momentum transport around wind turbines is localized in two extremes : on the one hand one can find the classical models based on Betz’ theory and its modifications and on the other hand there is a strong tendency towards the use of numerical simulations. The first have been shown to be inaccurate in many situations and the latter are computationally expensive and hard to implement at the field scale. This situation motivates the use of effective-medium models that take the essential information from numerical simulations and make it available for relatively simple macroscale models. In this work, we use the volume averaging method to derive such macroscale model, which has the form of the Navier-Stokes model with a position-dependent source term that takes into account the influence of the wind turbine geometry. The values of this term are predicted from direct numerical simulations. The model predictions are also validated with local-scale simulations. Extensions to more complicated situations are also discussed.