Abstract
The possibility to represent a given input velocity field using vortex particles is investigated in this chapter. This operation is referred to as velocity reconstruction. A direct and simple approach is chosen to perform such operation. The errors inherent to the method, but also linked to these approximations, are discussed. These errors include: the divergence error of the vortex particles vorticity field, the numerically finite support of the vorticity domain (absence of Neumann-to-Dirichlet map for the external flow), the differentiation error, the regularization error and the discretization error. A method to investigate the discretization error using sinusoidal signals is used to study the approximate cut-off of the method. The method is applied to a turbulent velocity field in an unbounded domain. The results were presented in the publication titled “Impact of a wind turbine on turbulence: un-freezing the turbulence by means of a simple vortex particle approach” (Branlard, Gaunaa, 2016, [4]). Applications of the method are given in Chaps. 29 and 30.
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