A fast and efficient turbulence-resolving computational framework, dubbed as WInc3D (Wind Incompressible 3-Dimensional solver), is presented and validated in this paper. WInc3D offers a unified, highly scalable, high-fidelity framework for the study of the flow structures and turbulence of wind farm wakes and their impact on the individual turbines' power and loads.Its unique properties lie on the use of higher-order numerical schemes with ''spectral-like'' accuracy, a highly efficient parallelisation strategy which allows the code to scale up to O(10 4 ) computing processors and software compactness (use of only native solvers/models) with virtually no dependence to external libraries. The work presents an overview of the current modelling capabilities along with model validation. The presented applications demonstrate the ability of WInc3D to be used for testing farm-level optimal control strategies using turbine wakes under yawed conditions. Examples are provided for two turbines operating in-line as well as a small array of 16 turbines operating under ''Greedy'' and ''Co-operative'' yaw angle settings.These large-scale simulations were performed with up to 8192 computational cores for under 24 hours, for a computational domain discretised with O(10 9 ) mesh nodes.
KEYWORDShigh-order wind farm simulator, optimal farm control, wind farm wakes
INTRODUCTIONWind turbines operating within large-scale wind plants interact with each other through their wakes. Surveys over a number of utility-scale wind farms (ef, Horns Rev I, Nysted, Anholt, London array, etc) have shown that wakes are responsible for annual energy losses of up to 20%. [1][2][3][4] Additionally, wake-generated turbulence can significantly increase fatigue loading and therefore the lifetime of wind turbine blades. 5 Numerical predictions of wind farm wakes are often based on simple, analytical models such as the well-known Park model 6,7 or the most recent integrated framework FLORIS, 8 which also allows for layout or control optimisation (eg, turbines under yawed conditions). While such models can be used for many design or optimisation purposes, they cannot provide insight into the complex interactions between the individual wakes and atmospheric turbulence. To study the turbulent structure of turbine wakes and their impact on farm-level operation numerically, high-performance numerical codes have been devised, which are often based on large-eddy simulation (LES) and turbine parametrisations (eg, actuator line). Such frameworks often referred to as wind farms simulators (WFS) can provide integrated solutions by resolving Atmospheric Boundary Layer (ABL) dynamics to a desired spatial and temporal scale, while accounting for the aero-servo-elastic behaviour of the individual wind turbines. To this day, a number of WFSs exists, offering a multitude of modelling options, including modelling the ambient atmospheric flow conditions, various turbine parametrisations (eg, actuator disc [AD], actuator line [AL], or actuator surface [AS] models) as well as ac...