A Generalized Corcos model for modelling turbulent boundary layer wall pressure fluctuations

A turbulent boundary layer (TBL) can be an important source of noise and vibration and its simulation is still an open research challenge. The stochastic pressure distribution associated with turbulence can significantly excite a structure that radiates acoustic power. In such a situation, a good description of the wall pressure field is necessary for an accurate prediction of the vibration and noise propagation. In order to tackle this issue, many TBL models have been developed since the 50s. Among others, the Corcos model has been widely used, especially because of its advantageous mathematical features. However, a major drawback is the small rate of decay for wavenumbers below the coincidence frequency. This paper presents a novel Generalized Corcos model that allows controlling the decay in the wavenumber domain below the convective peak, yet preserving similar mathematical advantages. Such a model is built on a two-dimensional Butterworth filter, whose orders allow to modify the shape of the TBL and possibly to adapt it to different flow configurations. The main aim of this work is to compare and position the Generalized Corcos model with respect to the existing models and to highlight its possible applications.