Fluctuating Pressure on the Wallin Synthetic Turbulent Boundary Layer

Abstract

The Large Eddy Simulation (LES) methodology has emerged as a pivotal tool in computational fluid dynamics, providing a robust framework for capturing the complexities of turbulent flows. This study introduces an artificial turbulent boundary layer, constructed using an exponential correlation function, to generate spatially and temporally correlated three-dimensional velocity fields at a two-dimensional inlet. The proposed approach is particularly well-suited for high Reynolds number flows, ensuring an accurate representation of turbulence characteristics. A hexahedral mesh, coupled with Cholesky decomposition, is employed to preserve the statistical integrity of turbulence, encompassing its inherent unpredictability and correlation structures. Consequently, the resulting flow dynamics and wall pressure fluctuations closely replicate the behavior of fully developed turbulent boundary layers, thereby validating the efficacy of the synthetic inflow methodology.