Trailing-Edge Noise Prediction by Solving Helmholtz Equation with Stochastic Source Term

A numerical approach to predict broadband trailing-edge noise for low Mach number flows is presented. It based on the combination of a Helmholtz solver propagate sound waves with source term computed stochastically. The propagation performed in frequency domain using high-order finite element solver. stochastic random particle-mesh method. performance this first examined Gaussian source. then applied NACA0012 airfoil flow numbers 0.11 and 0.16 controlled-diffusion 0.047. predicted levels are compared experimental data acoustic results obtained from perturbations equations. mean does not significantly modify propagation. Using no-flow model like equation therefore valid numbers. reduced computational cost calculation, together speed random-particle mesh turbulence synthesis, allows fast predictions. While provides relative assessments between different configurations (in particular spectrum shape), it often requires inclusion calibration factors determined reference measurement or data.