In this study, a computational aeroacoustic strategy is presented for the prediction of airfoil trailing-edge noise. This strategy is based on the use of a random particle-mesh method to compute noise sources, and the use of a Helmholtz solver to propagate sound waves. The random particle-mesh method is a stochastic approach that reconstructs sound sources from the steady mean flow statistics provided by an incompressible Reynolds-averaged Navier-Stokes simulation. The sound propagation is carried out in the frequency domain using a high-order finite element solver. For low-Mach number flows, assuming negligible mean flow convection effects, a non-homogeneous Helmholtz equation with a source term provided by the random particle-mesh method is solved. The performance of the numerical strategy is evaluated by simulating the sound radiated from the trailing-edge of a controlled-diffusion airfoil. The flow around the airfoil is characterized by a Mach number of 0.047 and a Reynolds number based on the airfoil chord length of Re c = 1.6 × 10 5 . The frequency domain results are found to be in good agreement with experimental data from the literature and with a full time-domain computation, used as reference. In particular, the trailing-edge noise radiated in the far-field region is well predicted.