Abstract
In order to evaluate aerodynamic loads on floating offshore wind turbines, advanced dynamic analysis tools are required. As a unified model that can represent both dynamic inflow and skewed inflow effects in it basic formulation, a wake model based on a vortex ring formulation is discussed. Such a model presents a good intermediate solution between computationally efficient but simple momentum balance methods and computationally expensive but complete computational fluid dynamics models. The model introduced is shown to be capable of modelling typical steady and unsteady test cases with reasonable accuracy.
Highlights
As a unified model that can represent both dynamic inflow and skewed inflow effects in it basic formulation, a wake model based on a vortex ring formulation is discussed
The vortex ring (VR) model and the theory it is based on is discussed in some detail, after which comparisons are made to blade element and momentum theory (BEMT) and actuator disc (AD) calculations for representative steady and dynamic cases in order to evaluate the performance of the VR model
The velocity induced at a control point, P, by a vortex ring of radius, R, located in the xy-plane, can be obtained by integrating the Biot-Savart law describing the velocity induced by a vortex filament of strength, Γ, over one rotation along the azimuth ψ [3]
Summary
The VR model and the theory it is based on is discussed in some detail, after which comparisons are made to BEMT and AD calculations for representative steady and dynamic cases in order to evaluate the performance of the VR model. To overcome the singular behaviour, a regularisation parameter δ representing a vortex with a finite core thickness can be introduced [4]. This entails modifying equation (1) to rΓ 4πp|r|2 ` δ2q3{2
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