Numerical simulation of gust-cascade interaction noise

The gust-cascade interaction noise was numerically simulated using computational aeroacoustics by solving the two-dimensional linearized Euler equations. In order to minimize the dispersion and dissipation errors, the dispersion-relation-preserving scheme was applied to perform the spatial discretion and the optimized 4/6 low-dissipation and low-dispersion Runge-Kutta scheme was used for the time integration. Appropriate boundary conditions were prescribed or established for various boundaries. The non-reflecting boundary conditions were firstly validated by simulating gust convection in the free space. Then the interaction noise due to the gust/flat-plate cascade was simulated. The numerical results agree well with exact solutions. Finally the numerical results of the noise from the gust/cascade (with NACA-0012 airfoil) interaction are presented which demonstrates the feasibility of the numerical procedure.