Abstract
This paper presents possible techniques for modelling ambient turbulence in the Lagrangian Vortex Method formalism. Due to the fact that regular Synthetic Eddy Method (SEM) already presented in previous studies is not divergence free by definition; improvements were necessary to develop a similar SEM method with such a divergence free property. The recent improvements formulated by R. Poletto give the way to such a possibility. This new Divergence Free Synthetic Eddy Method (DFSEM) is presented here in comparison with the regular SEM. Obtained numerical velocity fields are compared in terms of convergence properties, Power Spectral Density and also Taylor macro-scale. Finally, turbine wakes are computed with both the recent Poletto’s DFSEM and the regular Jarrin’s SEM to highlight differences. At this stage of development, the DFSEM seems very promising even though some improvements are still necessary.
Highlights
The computation of turbine wakes remains a challenge to the scientific community
This paper aims to show the implementation of the Synthetic Eddy Method (SEM) in the context of Lagrangian Vortex Blob method simulations
This study deals with the numerical computations, under the Lagrangian Vortex blob formalism, of turbine wakes and wake interactions with an account for ambient turbulence
Summary
The computation of turbine wakes remains a challenge to the scientific community. Lagrangian methods offer alternatives to the many Eulerian approaches most commonly used such as in Bernard et al [1] among others. A comprehensive review of these possibilities is given in the work of Hansen et al [8]. Among these possibilities, Vortex methods are already in use in the wind energy sector [18, 17, 5, 6]. Ambient turbulence cannot be taken into account in the Lagrangian Vortex Method when using its Vortex blob approximation [11]. A different approach is chosen for the present study: the Synthetic Eddy Method (SEM) initially developed by Jarrin et al [9] is adapted to be integrated into the Lagrangian Vortex Blob formulation. An alternative version of the SEM more recently proposed by Poletto [16] will be presented and analysed
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