Direct noise simulation of a canonical high lift device and comparison with an analytical model

The noise of a canonical main-element/flap high-lift device (HLD) is computed directly using compressible wall-resolved Large Eddy Simulation. An experimental database for the chosen configuration allows us to successfully validate the chosen numerical approach. Both the noise sources and the far-field acoustic pressure are shown to be well predicted. Although the two elements trailing-edge noise can be observed in the near field, the flap remains as the dominant source in the far-field. The simplicity of the studied configuration enables the comparison of the validated numerical results with a recently developed analytical model that takes into account the diffraction of the flap noise by the main-element. A two-dimensional (2D) (with and without Kutta condition) and a three-dimensional (without Kutta correction) analytical formulations are compared with the numerical results. All formulations compare favorably with the numerical reference in terms of noise levels and directivities. However, the 2D formulation with a Kutta correction provides the best quantitative agreement as expected from the narrow span of the numerical domain. The recently developed analytical model is therefore a good predictive tool for HLD, showing that it can properly account for the diffraction effect of the main element on the flap main noise source.